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Show Ltac Profile. -
total time: 1.271s +
total time: 2.175s tactic local total calls max ───────────────────────────────────────────┴──────┴──────┴───────┴─────────┘ -─tac -------------------------------------- 0.1% 100.0% 1 1.271s -─<Corelib.Init.Tauto.with_uniform_flags> -- 0.0% 90.8% 26 0.132s -─<Corelib.Init.Tauto.tauto_gen> ----------- 0.0% 90.8% 26 0.132s -─<Corelib.Init.Tauto.tauto_intuitionistic> 0.1% 90.7% 26 0.132s -─t_tauto_intuit --------------------------- 0.1% 90.6% 26 0.132s -─<Corelib.Init.Tauto.simplif> ------------- 61.2% 87.4% 26 0.130s -─<Corelib.Init.Tauto.is_conj> ------------- 19.6% 19.6% 28756 0.003s -─lia -------------------------------------- 0.1% 8.8% 28 0.078s -─Zify.zify -------------------------------- 0.3% 7.0% 54 0.077s -─zify_op ---------------------------------- 6.3% 6.3% 54 0.077s -─elim id ---------------------------------- 3.3% 3.3% 650 0.001s -─<Corelib.Init.Tauto.axioms> -------------- 2.3% 3.2% 0 0.004s +─tac -------------------------------------- 0.1% 100.0% 1 2.175s +─<Corelib.Init.Tauto.with_uniform_flags> -- 0.0% 94.0% 26 0.122s +─<Corelib.Init.Tauto.tauto_gen> ----------- 0.0% 93.9% 26 0.122s +─<Corelib.Init.Tauto.tauto_intuitionistic> 0.0% 93.9% 26 0.122s +─t_tauto_intuit --------------------------- 0.1% 93.8% 26 0.122s +─<Corelib.Init.Tauto.simplif> ------------- 62.0% 90.3% 26 0.118s +─<Corelib.Init.Tauto.is_conj> ------------- 20.5% 20.5% 28756 0.003s +─lia -------------------------------------- 0.1% 5.7% 28 0.091s +─Zify.zify -------------------------------- 0.3% 4.8% 54 0.090s +─zify_op ---------------------------------- 4.3% 4.3% 54 0.090s +─elim id ---------------------------------- 4.1% 4.1% 650 0.000s +─<Corelib.Init.Tauto.axioms> -------------- 2.5% 3.5% 0 0.005s tactic local total calls max ─────────────────────────────────────────────┴──────┴──────┴───────┴─────────┘ -─tac ---------------------------------------- 0.1% 100.0% 1 1.271s - ├─<Corelib.Init.Tauto.with_uniform_flags> -- 0.0% 90.8% 26 0.132s - │└<Corelib.Init.Tauto.tauto_gen> ----------- 0.0% 90.8% 26 0.132s - │└<Corelib.Init.Tauto.tauto_intuitionistic> 0.1% 90.7% 26 0.132s - │└t_tauto_intuit --------------------------- 0.1% 90.6% 26 0.132s - │ ├─<Corelib.Init.Tauto.simplif> ----------- 61.2% 87.4% 26 0.130s - │ │ ├─<Corelib.Init.Tauto.is_conj> --------- 19.6% 19.6% 28756 0.003s - │ │ └─elim id ------------------------------ 3.3% 3.3% 650 0.001s - │ └─<Corelib.Init.Tauto.axioms> ------------ 2.3% 3.2% 0 0.004s - └─lia -------------------------------------- 0.1% 8.8% 28 0.078s - └Zify.zify -------------------------------- 0.3% 7.0% 54 0.077s - └zify_op ---------------------------------- 6.3% 6.3% 54 0.077s +─tac ---------------------------------------- 0.1% 100.0% 1 2.175s + ├─<Corelib.Init.Tauto.with_uniform_flags> -- 0.0% 94.0% 26 0.122s + │└<Corelib.Init.Tauto.tauto_gen> ----------- 0.0% 93.9% 26 0.122s + │└<Corelib.Init.Tauto.tauto_intuitionistic> 0.0% 93.9% 26 0.122s + │└t_tauto_intuit --------------------------- 0.1% 93.8% 26 0.122s + │ ├─<Corelib.Init.Tauto.simplif> ----------- 62.0% 90.3% 26 0.118s + │ │ ├─<Corelib.Init.Tauto.is_conj> --------- 20.5% 20.5% 28756 0.003s + │ │ └─elim id ------------------------------ 4.1% 4.1% 650 0.000s + │ └─<Corelib.Init.Tauto.axioms> ------------ 2.5% 3.5% 0 0.005s + └─lia -------------------------------------- 0.1% 5.7% 28 0.091s + └Zify.zify -------------------------------- 0.3% 4.8% 54 0.090s + └zify_op ---------------------------------- 4.3% 4.3% 54 0.090s
Show Ltac Profile "lia". -
total time: 1.271s +
total time: 2.175s tactic local total calls max ───────┴──────┴──────┴───────┴─────────┘ -─lia -- 0.1% 8.8% 28 0.078s +─lia -- 0.1% 5.7% 28 0.091s tactic local total calls max ───────┴──────┴──────┴───────┴─────────┘ diff --git a/master/refman/proofs/writing-proofs/equality.html b/master/refman/proofs/writing-proofs/equality.html index be8a258339..79412ac022 100644 --- a/master/refman/proofs/writing-proofs/equality.html +++ b/master/refman/proofs/writing-proofs/equality.html @@ -2641,7 +2641,7 @@

Computing in a term: eval and EvalTime assert (id (fact 8) = fact 8) by reflexivity. -
Finished transaction in 0.151 secs (0.065u,0.085s) (successful) +
Finished transaction in 0.123 secs (0.082u,0.041s) (successful) 1 goal H : id (fact 8) = fact 8 @@ -2649,7 +2649,7 @@

Computing in a term: eval and EvalTime assert (id (fact 9) = fact 9) by reflexivity. -
Finished transaction in 0.706 secs (0.702u,0.003s) (successful) +
Finished transaction in 0.591 secs (0.583u,0.008s) (successful) 1 goal H : id (fact 8) = fact 8 @@ -2712,7 +2712,7 @@

Computing in a term: eval and EvalTime assert (id (fact 100) = fact 100) by with_strategy -1 [id] abstract reflexivity. -
Finished transaction in 0.002 secs (0.002u,0.s) (successful) +
Finished transaction in 0.001 secs (0.001u,0.s) (successful) 1 goal H : id (fact 100) = fact 100 diff --git a/master/refman/searchindex.js b/master/refman/searchindex.js index a5c3720116..733eab4662 100644 --- a/master/refman/searchindex.js +++ b/master/refman/searchindex.js @@ -1 +1 @@ -Search.setIndex({"docnames": ["addendum/canonical-structures", "addendum/extended-pattern-matching", "addendum/extraction", "addendum/generalized-rewriting", "addendum/implicit-coercions", "addendum/micromega", "addendum/miscellaneous-extensions", "addendum/nsatz", "addendum/parallel-proof-processing", "addendum/program", "addendum/rewrite-rules", "addendum/ring", "addendum/sprop", "addendum/type-classes", "addendum/universe-polymorphism", "appendix/history-and-changes/index", "appendix/indexes/index", "changes", "coq-attrindex", "coq-cmdindex", "coq-exnindex", "coq-optindex", "coq-tacindex", "genindex", "history", "index", "language/cic", "language/coq-library", "language/core/assumptions", 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35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "indpstr": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "5": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "inject": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "length": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "letin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "let": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "list": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77], "lra": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "longrightarrow": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "match": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mod": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "zeroon": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "modimp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "moda": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "modtyp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mto": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nat": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nil": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nilhl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "_hl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nO": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "node": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "n": [0, 1, 2, 3, 4, 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24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "pair": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "plu": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathsf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "sprop": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "prop": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "return": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "set": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 59, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "sort": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathcal": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "str": [0, 1, 2, 3, 4, 5, 6, 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44, 51, 52, 53, 55, 59, 61, 62, 64, 67, 72, 73, 74, 75, 76, 77], "specif": [2, 3, 5, 9, 11, 24, 28, 31, 32, 34, 35, 36, 39, 40, 42, 51, 52, 53, 55, 57, 58, 59, 60, 61, 64, 66, 67, 71, 77], "The": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 46, 52, 54, 55, 58, 59, 60, 62, 63, 64, 65, 66, 67, 72, 73, 74, 76, 77], "avail": [2, 9, 11, 12, 13, 17, 24, 25, 27, 30, 35, 36, 37, 38, 40, 42, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 71, 72, 74, 75, 76, 77], "output": [2, 3, 4, 11, 14, 17, 24, 33, 42, 51, 52, 53, 54, 59, 60, 64, 66, 71, 75], "ar": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 63, 64, 65, 67, 71, 72, 73, 74, 75], "current": [2, 3, 4, 5, 8, 9, 10, 12, 14, 17, 24, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "ocaml": [2, 11, 17, 24, 25, 29, 32, 36, 51, 53, 54, 55, 63, 64, 66, 71, 73, 75], "haskel": [2, 13, 17, 24, 25, 57, 64, 77], "scheme": [2, 11, 17, 24, 25, 26, 27, 34, 37, 40, 46, 51, 57, 59, 62, 77], "follow": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "abus": [2, 55], "refer": [2, 3, 4, 5, 8, 10, 13, 14, 16, 24, 25, 28, 29, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 44, 46, 50, 51, 52, 53, 55, 57, 58, 60, 62, 64, 66, 67, 71, 72, 74, 75], "ani": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "three": [2, 4, 9, 11, 17, 24, 25, 34, 40, 52, 53, 54, 57, 59, 60, 67, 71], "chang": [2, 4, 5, 8, 9, 11, 13, 14, 25, 26, 28, 29, 31, 34, 36, 37, 38, 41, 43, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75], "version": [2, 3, 4, 7, 9, 13, 14, 15, 25, 29, 32, 35, 36, 37, 41, 46, 50, 51, 52, 57, 58, 59, 60, 62, 66, 73, 74, 75, 77], "8": [2, 3, 4, 13, 24, 25, 30, 35, 41, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 71, 75], "11": [2, 24, 25, 34, 53, 57, 60], "befor": [2, 4, 5, 13, 14, 17, 28, 29, 32, 34, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 74, 75], "describ": [2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 17, 24, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71, 72, 75], "thi": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76], "chapter": [2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 24, 26, 27, 29, 31, 32, 33, 34, 38, 40, 42, 45, 52, 54, 55, 57, 58, 59, 61, 63, 65, 71, 72, 73, 75, 76], "framework": [2, 17, 24], "should": [2, 3, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 32, 34, 35, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "first": [2, 4, 5, 6, 8, 9, 11, 13, 14, 15, 17, 24, 25, 26, 27, 35, 37, 38, 40, 41, 42, 43, 44, 51, 52, 53, 55, 58, 59, 60, 62, 64, 65, 66, 67, 71, 72, 74, 75, 77], "load": [2, 3, 5, 6, 7, 11, 17, 24, 25, 27, 29, 34, 35, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "explicitli": [2, 4, 12, 13, 14, 17, 24, 27, 28, 29, 34, 38, 39, 43, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "via": [2, 5, 8, 11, 17, 35, 51, 53, 54, 55, 57, 59, 71, 72], "corelib": [2, 6, 9, 35, 36, 51, 54, 57, 59, 64, 66], "requir": [2, 3, 5, 6, 7, 8, 9, 10, 11, 13, 14, 17, 24, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75], "file": [2, 3, 5, 6, 7, 8, 9, 11, 17, 24, 25, 27, 29, 34, 35, 41, 54, 55, 57, 60, 64, 71, 72, 73, 76], "runtim": [2, 3, 5, 6, 11, 17, 29, 34, 51, 53, 54, 55, 57, 59, 60, 72, 73], "plugin": [2, 3, 5, 6, 11, 12, 17, 24, 25, 29, 33, 34, 35, 53, 54, 55, 57, 59, 60, 63, 66, 71, 72], "done": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 29, 30, 32, 34, 35, 38, 40, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 72, 75], "qualifi": [2, 17, 24, 25, 28, 32, 38, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71], "identifi": [2, 3, 9, 14, 17, 24, 25, 28, 29, 30, 31, 35, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 72, 75], "qualid": [2, 3, 4, 5, 10, 11, 13, 14, 17, 29, 35, 37, 39, 40, 41, 42, 46, 51, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 74], "can": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "kind": [2, 8, 10, 11, 17, 25, 27, 29, 34, 42, 46, 53, 55, 57, 59, 67, 72], "global": [2, 3, 4, 5, 8, 9, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 39, 41, 42, 44, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 75], "object": [2, 3, 4, 8, 9, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 33, 35, 37, 38, 39, 40, 41, 42, 44, 51, 53, 55, 57, 59, 64, 67, 71, 72], "constant": [2, 4, 5, 6, 9, 10, 11, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 38, 41, 42, 44, 46, 51, 54, 55, 57, 58, 60, 64, 66, 67, 74], "constructor": [2, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 30, 31, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 71, 74], "modul": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 25, 27, 28, 29, 32, 33, 36, 37, 38, 40, 41, 42, 44, 51, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "name": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 67, 71, 72, 74, 75], "recurs": [2, 5, 9, 17, 24, 25, 31, 32, 33, 37, 40, 41, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 75, 77], "string": [2, 11, 13, 14, 17, 25, 29, 40, 51, 53, 54, 55, 57, 59, 64, 66, 74, 75], "two": [2, 3, 4, 5, 8, 9, 10, 11, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 31, 34, 36, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75], "form": [2, 3, 4, 5, 6, 7, 9, 11, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 35, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "displai": [2, 9, 12, 14, 16, 17, 25, 35, 37, 41, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66], "term": [2, 3, 4, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 53, 57, 58, 59, 60, 62, 63, 66, 67, 72, 75], "conveni": [2, 4, 6, 12, 17, 24, 28, 29, 33, 34, 35, 44, 46, 52, 53, 54, 57, 66, 67, 71], "preview": [2, 52], "result": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 27, 31, 32, 34, 39, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "second": [2, 3, 4, 8, 9, 10, 11, 13, 15, 17, 24, 25, 26, 28, 35, 37, 38, 40, 42, 44, 51, 52, 53, 55, 57, 59, 60, 64, 66, 67, 71, 75], "all": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73], "depend": [2, 3, 7, 8, 9, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 40, 42, 43, 44, 51, 52, 54, 55, 57, 60, 62, 64, 66, 71, 72, 77], "third": [2, 3, 17, 25, 40, 41, 44, 51, 52, 53, 54, 57, 58, 75], "produc": [2, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 29, 32, 34, 36, 38, 40, 41, 44, 52, 53, 54, 55, 57, 64, 66, 71, 72, 73, 74, 75], "singl": [2, 3, 4, 13, 14, 17, 24, 25, 28, 29, 30, 34, 35, 37, 40, 44, 46, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "specifi": [2, 3, 4, 5, 6, 8, 9, 11, 13, 17, 24, 25, 28, 29, 32, 34, 35, 36, 37, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "local": [2, 3, 4, 5, 9, 13, 17, 24, 25, 26, 28, 30, 31, 32, 34, 41, 42, 52, 55, 59, 62, 64, 66, 67, 75], "renam": [2, 17, 24, 25, 34, 37, 55, 57, 58, 59, 71, 74], "need": [2, 3, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 28, 29, 31, 32, 34, 35, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 76], "fulfil": [2, 17, 67], "syntact": [2, 3, 11, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 35, 37, 39, 41, 57, 58, 59, 64, 66, 71, 74], "keep": [2, 3, 12, 14, 17, 24, 33, 34, 36, 42, 46, 52, 53, 55, 57, 64, 67], "origin": [2, 3, 4, 9, 11, 17, 24, 29, 31, 34, 38, 43, 44, 46, 53, 57, 58, 62, 64, 66, 67, 71], "much": [2, 11, 13, 17, 25, 33, 51, 53, 57, 59, 63, 64, 71], "possibl": [2, 3, 4, 5, 8, 9, 11, 13, 14, 17, 24, 27, 28, 31, 34, 35, 37, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "also": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "work": [2, 3, 4, 5, 9, 10, 12, 13, 17, 24, 25, 26, 27, 32, 35, 41, 42, 43, 46, 51, 52, 54, 55, 57, 58, 59, 64, 67, 71, 74, 77], "directori": [2, 14, 17, 24, 27, 35, 51, 52, 53, 59, 60, 71, 75], "It": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "inspect": [2, 17, 57, 59], "what": [2, 3, 5, 10, 13, 16, 17, 24, 25, 27, 29, 33, 34, 35, 41, 42, 46, 51, 53, 54, 55, 57, 59, 60, 64, 66, 67, 71], "pwd": [2, 14, 59], "cd": [2, 17, 53], "librari": [2, 5, 7, 8, 11, 25, 29, 35, 40, 41, 52, 54, 55, 57, 58, 64, 66, 67, 72, 75], "ident": [2, 3, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 43, 44, 46, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74], "whole": [2, 3, 9, 11, 17, 29, 40, 46, 51, 52, 53, 55, 57, 59, 71, 75], "v": [2, 3, 7, 8, 11, 12, 13, 14, 17, 24, 25, 26, 27, 34, 35, 37, 42, 44, 46, 51, 52, 53, 54, 58, 59, 67, 71, 75], "an": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 58, 60, 62, 63, 64, 66, 71, 72, 74, 75, 77], "clash": [2, 17, 53, 54, 57], "prefix": [2, 3, 9, 11, 14, 17, 24, 27, 28, 34, 35, 38, 40, 41, 42, 44, 51, 52, 54, 57, 58, 59, 64, 66, 67, 71, 75], "coq_": 2, "ensur": [2, 10, 13, 14, 17, 24, 30, 34, 39, 52, 55, 59, 64, 71, 72], "session": [2, 14, 17, 51, 52, 59], "independ": [2, 13, 14, 17, 24, 34, 51, 52, 53, 54, 55, 57, 67], "other": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 67, 71, 72, 76], "separ": [2, 3, 10, 14, 17, 24, 25, 26, 29, 33, 34, 35, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 67, 71, 74], "mention": [2, 3, 14, 17, 24, 26, 34, 39, 44, 46, 51, 54, 57, 58, 60, 64, 66, 71], "just": [2, 3, 4, 8, 9, 11, 13, 17, 24, 28, 31, 34, 35, 37, 41, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "instead": [2, 3, 4, 7, 8, 11, 12, 13, 14, 17, 24, 26, 28, 33, 34, 35, 36, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "one": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 74, 75, 77], "monolith": [2, 17], "split": [2, 17, 25, 29, 34, 42, 51, 54, 57, 58, 60, 66, 67, 75], "per": [2, 3, 11, 17, 24, 52, 53, 57, 59, 71], "correspond": [2, 3, 8, 9, 11, 13, 14, 15, 17, 24, 26, 28, 33, 34, 35, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "henc": [2, 3, 4, 5, 8, 9, 13, 14, 17, 26, 34, 37, 42, 51, 53, 54, 57, 58, 64, 67, 71], "quit": [2, 3, 11, 13, 17, 25, 34, 42, 54, 55, 57, 60], "similar": [2, 3, 5, 9, 13, 17, 24, 26, 34, 35, 37, 38, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72, 74, 75], "except": [2, 3, 4, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 31, 34, 35, 36, 38, 40, 43, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 75], "onli": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "part": [2, 3, 10, 11, 13, 15, 17, 24, 25, 27, 29, 34, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 66, 67, 71, 72, 73, 74], "convent": [2, 17, 25, 33, 42, 51, 57, 59, 71], "same": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "meant": [2, 3, 14, 17, 55, 59, 64], "help": [2, 3, 8, 13, 14, 15, 16, 17, 24, 25, 27, 29, 41, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 67, 75], "automat": [2, 3, 5, 7, 9, 10, 13, 14, 17, 24, 25, 27, 28, 35, 37, 40, 42, 46, 52, 53, 54, 55, 57, 58, 60, 64, 65, 66, 71, 72, 75, 77], "test": [2, 3, 4, 9, 10, 11, 13, 17, 24, 25, 29, 30, 34, 42, 46, 55, 57, 59, 66], "see": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "instanc": [2, 4, 5, 10, 11, 12, 14, 17, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "suit": [2, 17, 53, 57, 58, 63], "sourc": [2, 4, 5, 14, 24, 25, 51, 52, 53, 55, 57, 71, 73], "testcompil": [2, 17], "temporari": [2, 14, 17, 24, 57], "Then": [2, 4, 5, 11, 14, 24, 26, 27, 29, 32, 34, 41, 42, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 74, 75], "its": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "signatur": [2, 3, 11, 17, 24, 34, 35, 54, 55, 59], "compil": [2, 3, 8, 9, 10, 11, 12, 24, 25, 26, 27, 29, 32, 35, 36, 38, 46, 54, 55, 57, 64, 66, 73, 74, 75, 77], "built": [2, 4, 11, 17, 24, 25, 26, 31, 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67, 71, 75], "record": [2, 3, 8, 10, 11, 12, 13, 14, 17, 24, 25, 30, 33, 34, 42, 54, 55, 57, 59, 60, 62, 67, 71], "custom": [2, 3, 11, 13, 17, 24, 25, 29, 36, 53, 54, 57], "declar": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 43, 46, 51, 53, 54, 58, 59, 60, 64, 71, 72, 75], "previou": [2, 3, 4, 8, 9, 11, 13, 15, 17, 24, 27, 29, 31, 34, 37, 40, 41, 42, 45, 46, 51, 52, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 74], "reset": [2, 17, 24, 29, 30, 34, 40, 41, 46, 51, 52, 54, 59, 72], "empti": [2, 3, 5, 7, 12, 13, 17, 24, 26, 34, 40, 43, 51, 53, 55, 57, 58, 59, 60, 67, 71, 72], "ask": [2, 3, 17, 25, 42, 43, 53], "mean": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 59, 64, 65, 66, 71], "both": [2, 3, 4, 11, 14, 17, 24, 25, 26, 27, 28, 29, 31, 34, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 61, 64, 66, 67, 73, 74], "But": [2, 11, 17, 34, 39, 41, 46, 51, 53, 54, 64, 75], "For": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "reason": [2, 3, 5, 9, 10, 11, 17, 24, 25, 34, 44, 51, 53, 54, 55, 57, 59, 62, 65, 71, 72, 75, 77], "decis": [2, 17, 24, 25, 58, 62, 64, 77], "taken": [2, 9, 13, 17, 24, 34, 36, 42, 44, 53, 57, 64, 67, 71], "whether": [2, 3, 9, 10, 12, 13, 14, 17, 29, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 71, 75], "occurr": [2, 3, 11, 14, 17, 24, 25, 26, 43, 44, 46, 52, 54, 55, 59, 60, 64, 71], "replac": [2, 3, 4, 7, 9, 10, 11, 17, 24, 25, 28, 31, 32, 34, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 74, 75], "manual": [2, 11, 24, 25, 29, 50, 52, 53, 57, 60, 66, 67, 71], "perform": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 26, 34, 41, 42, 46, 51, 54, 55, 57, 60, 62, 64, 66, 67, 71, 72], "wai": [2, 3, 5, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75], "complementari": [2, 17, 24, 42, 57], "main": [2, 8, 9, 11, 13, 17, 25, 27, 29, 34, 40, 41, 51, 52, 53, 54, 55, 57, 60, 64, 71], "logic": [2, 3, 9, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 34, 35, 39, 51, 57, 58, 59, 61, 66, 67, 75, 77], "implicit": [2, 3, 5, 9, 13, 17, 24, 25, 28, 33, 34, 37, 38, 42, 43, 45, 51, 53, 55, 57, 58, 59, 66, 67, 75], "integ": [2, 3, 7, 11, 14, 17, 24, 25, 29, 34, 39, 52, 53, 54, 55, 57, 59, 60, 64, 66], "thei": [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 73, 74, 75], "omit": [2, 3, 8, 14, 17, 27, 28, 29, 30, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 75], "position": [2, 58], "start": [2, 3, 6, 8, 9, 13, 17, 24, 25, 26, 27, 29, 32, 34, 35, 37, 40, 41, 42, 44, 46, 52, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 74, 75], "actual": [2, 3, 5, 8, 11, 14, 17, 24, 34, 37, 42, 43, 44, 46, 54, 55, 57, 60, 64, 67, 71, 72], "take": [2, 3, 5, 8, 11, 12, 13, 17, 24, 26, 28, 29, 31, 32, 37, 40, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71, 75], "place": [2, 3, 17, 32, 40, 43, 51, 53, 57, 58, 59, 64, 66, 67, 71, 75], "error": [2, 3, 4, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "rais": [2, 3, 10, 13, 17, 29, 35, 54, 55, 64, 72], "cannot": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 26, 28, 29, 32, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "honor": [2, 8, 17, 51, 57, 71], "occur": [2, 3, 4, 8, 17, 24, 26, 28, 30, 34, 37, 38, 41, 42, 44, 46, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "final": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 29, 35, 40, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71, 75], "behavior": [2, 3, 4, 11, 13, 14, 17, 24, 29, 30, 32, 34, 41, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 75], "relax": [2, 17, 30, 44, 53, 57, 60], "safeimplicit": 2, "warn": [2, 3, 4, 10, 12, 13, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 62, 66, 71, 72], "emit": [2, 10, 12, 13, 17, 34, 53, 71, 74], "obtain": [2, 3, 4, 5, 17, 34, 36, 54, 55, 57, 58, 64, 67, 72, 75], "nonetheless": [2, 17, 30, 32, 36, 51, 66], "review": [2, 17, 27], "locat": [2, 17, 24, 25, 35, 51, 52, 53, 54, 55], "issu": [2, 3, 24, 25, 46, 52, 54, 55, 58, 64, 66, 71, 73], "comment": [2, 5, 17, 24, 25, 29, 52, 54, 57, 60, 66, 75], "mark": [2, 12, 17, 24, 31, 35, 37, 38, 41, 44, 51, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71], "remain": [2, 3, 9, 11, 13, 14, 17, 24, 34, 36, 39, 41, 42, 44, 46, 52, 57, 58, 64, 66], "note": [2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 77], "might": [2, 3, 5, 13, 17, 46, 51, 53, 55, 57, 62, 64, 67, 71, 72, 75], "run": [2, 5, 8, 9, 13, 14, 17, 24, 25, 29, 51, 53, 57, 59, 60, 64, 66, 71, 73], "properli": [2, 8, 9, 10, 17, 29, 52, 53, 57, 59, 66], "encount": [2, 11, 17, 52, 53, 54, 64], "inform": [2, 3, 4, 10, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 37, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 72, 75, 77], "remind": [2, 3, 57], "inconsist": [2, 8, 10, 12, 14, 17, 24, 26, 34, 39, 44, 51, 59, 66, 67, 71], "lead": [2, 10, 14, 17, 24, 26, 29, 34, 39, 57, 58, 60, 64, 71, 74, 75], "incorrect": [2, 8, 12, 14, 17, 25, 34, 37, 46, 52, 57, 66], "termin": [2, 8, 9, 17, 24, 25, 27, 29, 30, 32, 34, 35, 38, 52, 55, 59, 60, 66, 71, 72], "assum": [2, 3, 5, 11, 13, 17, 26, 27, 28, 32, 34, 35, 36, 38, 39, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71, 75], "while": [2, 3, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73], "proposit": [2, 3, 5, 10, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 39, 40, 51, 57, 58, 62, 64, 66, 67, 77], "perfectli": 2, "content": [2, 17, 24, 27, 32, 35, 42, 51, 52, 53, 54, 57, 59, 66, 71, 75], "must": [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 37, 39, 40, 41, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "cours": [2, 14, 17, 24, 42, 51, 52, 57, 64, 71], "guess": [2, 4, 11, 17, 32, 43, 53, 57, 67], "tell": [2, 3, 11, 17, 24, 34, 41, 42, 44, 46, 51, 55, 57, 60, 64, 67, 71, 75], "given": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "tv": 2, "give": [2, 3, 4, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 40, 41, 42, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 75], "ariti": [2, 17, 24, 25, 46, 55], "sequenc": [2, 3, 5, 17, 24, 25, 28, 29, 30, 46, 51, 57, 58, 59, 60, 64, 66, 71, 75], "product": [2, 3, 5, 10, 11, 13, 14, 17, 24, 26, 27, 28, 34, 36, 39, 40, 46, 54, 55, 57, 59, 60, 64, 66, 67, 71], "variabl": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 45, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 75], "quot": [2, 5, 13, 17, 24, 25, 28, 29, 44, 51, 55, 59, 66, 71, 75], "number": [2, 3, 4, 5, 7, 11, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 36, 37, 39, 40, 41, 42, 43, 44, 46, 52, 53, 55, 57, 58, 59, 62, 64, 66, 67, 72, 74, 77], "check": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "y": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 77], "b": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 77], "recogn": [2, 4, 5, 8, 11, 17, 24, 29, 34, 46, 51, 52, 55, 62, 67, 71, 75], "becom": [2, 8, 11, 17, 24, 26, 28, 34, 35, 40, 44, 46, 52, 53, 55, 57, 58, 59, 64, 66, 67, 71], "int": [2, 3, 17, 36, 55, 71, 75], "0": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 41, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75, 77], "respons": [2, 10, 17, 52, 55, 75], "expect": [2, 3, 4, 11, 12, 14, 17, 24, 26, 29, 31, 32, 33, 34, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 60, 64, 67, 71], "fact": [2, 5, 11, 14, 17, 24, 28, 32, 34, 39, 41, 42, 46, 54, 55, 57, 58, 62, 64, 66, 67, 71, 75], "copi": [2, 17, 36, 46, 52, 53, 54, 57, 75], "everywher": [2, 17, 55, 58, 64], "being": [2, 3, 9, 11, 12, 13, 14, 17, 24, 32, 33, 34, 35, 37, 38, 40, 42, 46, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 72, 75], "sugar": [2, 7, 17, 28, 54, 55, 59, 77], "effect": [2, 3, 9, 11, 13, 14, 17, 24, 25, 29, 30, 34, 35, 38, 43, 51, 52, 53, 54, 57, 59, 64, 66, 71, 75], "alreadi": [2, 4, 13, 17, 24, 27, 28, 32, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 73], "foreign": [2, 17], "wa": [2, 3, 10, 11, 12, 17, 24, 27, 28, 29, 32, 34, 35, 37, 38, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72], "previous": [2, 13, 17, 28, 34, 38, 52, 54, 57, 59, 71], "would": [2, 3, 4, 11, 14, 17, 28, 29, 30, 31, 32, 34, 37, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "overrid": [2, 14, 17, 37, 51, 53, 57, 66, 67, 71], "been": [2, 3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 73, 74], "definit": [2, 4, 8, 10, 11, 13, 17, 24, 25, 26, 27, 28, 29, 31, 33, 35, 36, 38, 41, 42, 43, 44, 51, 53, 58, 59, 60, 62, 66, 67, 72, 73, 74, 75, 77], "fill": [2, 9, 13, 17, 25, 52, 55, 57, 62, 71], "label": [2, 8, 14, 17, 29, 54, 59], "TO": 2, "BE": 2, "search": [2, 4, 5, 7, 13, 17, 24, 25, 42, 44, 51, 52, 53, 61, 62, 64], "insid": [2, 3, 4, 8, 9, 13, 14, 17, 24, 25, 28, 29, 34, 35, 38, 46, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "real": [2, 3, 7, 11, 24, 25, 34, 46, 53, 55, 66, 67, 71], "nativ": [2, 5, 10, 12, 24, 25, 36, 51, 55, 58, 59, 64], "boolean": [2, 5, 9, 11, 13, 14, 17, 24, 25, 27, 29, 34, 37, 39, 40, 42, 55, 59, 60, 62, 64, 67, 71], "syntax": [2, 4, 5, 6, 8, 9, 11, 13, 14, 25, 26, 27, 30, 32, 34, 35, 37, 39, 40, 41, 42, 43, 45, 51, 52, 53, 58, 59, 60, 63, 64, 66, 75, 77], "itself": [2, 3, 8, 9, 11, 12, 13, 14, 17, 30, 34, 39, 40, 41, 42, 43, 44, 51, 53, 54, 55, 57, 58, 60, 63, 64, 67, 71], "initi": [2, 6, 7, 11, 13, 17, 24, 27, 29, 38, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "datatyp": [2, 17, 24, 25, 26, 35, 44, 46, 54, 55, 57, 59, 60, 67, 71], "pattern": [2, 9, 13, 17, 24, 25, 27, 28, 30, 32, 34, 40, 41, 42, 45, 60, 64, 67, 72, 77], "charact": [2, 8, 10, 13, 14, 17, 24, 25, 27, 29, 35, 36, 40, 44, 46, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "char": [2, 17, 53], "prelud": [2, 17, 25, 29, 51, 59, 66], "liter": [2, 5, 17, 29, 36, 42, 54, 55, 57, 71], "handl": [2, 3, 8, 9, 11, 17, 24, 26, 37, 43, 46, 53, 55, 57, 58, 59, 61, 62, 66, 67, 71], "special": [2, 3, 4, 9, 12, 13, 16, 17, 24, 25, 27, 28, 29, 34, 51, 52, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "design": [2, 8, 11, 17, 24, 25, 37, 44, 57, 64, 71, 77], "regist": [2, 3, 4, 5, 7, 9, 11, 13, 17, 25, 32, 42, 57, 64, 67, 71, 72], "standard": [2, 3, 5, 9, 14, 25, 27, 29, 35, 36, 40, 51, 52, 53, 54, 58, 59, 62, 64, 65, 66, 67, 72, 73, 74, 75], "indic": [2, 8, 11, 12, 13, 14, 17, 24, 26, 31, 34, 35, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 62, 64, 66, 67, 71], "how": [2, 7, 8, 13, 17, 24, 25, 27, 29, 30, 34, 35, 37, 42, 43, 45, 51, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 74, 77], "over": [2, 3, 11, 14, 17, 24, 25, 26, 27, 28, 30, 32, 34, 37, 38, 39, 40, 41, 42, 44, 46, 52, 53, 54, 58, 59, 60, 61, 62, 64, 66, 67], "could": [2, 3, 4, 5, 6, 11, 12, 17, 24, 29, 31, 34, 37, 42, 46, 51, 52, 55, 57, 58, 60, 62, 66, 71, 72, 73], "arbitrari": [2, 3, 5, 10, 11, 14, 17, 24, 31, 44, 46, 53, 57, 60, 62, 71], "k": [2, 3, 6, 14, 17, 24, 26, 34, 42, 54, 57, 67, 72, 77], "emul": [2, 12, 17, 40, 57], "branch": [2, 5, 9, 17, 25, 34, 40, 45, 46, 55, 59, 60, 66, 67, 72], "element": [2, 3, 11, 12, 17, 25, 26, 27, 34, 35, 36, 46, 57, 59, 60, 71], "destruct": [2, 13, 17, 24, 25, 34, 54, 55, 57, 58, 64, 71], "foo": [2, 11, 14, 17, 29, 35, 38, 40, 43, 51, 52, 53, 55, 57, 58, 59, 64, 66, 71, 74, 75], "fun": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 75], "consid": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 34, 37, 41, 42, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 73, 75], "unit": [2, 12, 13, 14, 17, 27, 34, 40, 46, 53, 54, 55, 57, 62, 64, 71], "block": [2, 9, 10, 14, 17, 25, 29, 30, 34, 37, 38, 44, 46, 54, 64, 65, 67], "earli": [2, 15, 17, 25, 26, 54, 64], "evalu": [2, 3, 9, 11, 17, 24, 25, 28, 30, 34, 35, 41, 53, 57, 60, 64, 71], "bar": [2, 8, 14, 17, 29, 35, 51, 52, 53, 55, 57, 64, 66, 71, 74], "As": [2, 3, 5, 6, 9, 10, 11, 13, 14, 17, 26, 28, 30, 34, 36, 37, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72], "care": [2, 13, 14, 17, 46, 53, 54, 64, 67, 71, 75], "pre": [2, 17, 25, 53, 60], "sound": [2, 17, 34], "ad": [2, 4, 9, 13, 14, 17, 24, 25, 29, 34, 37, 42, 44, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 77], "hoc": [2, 3, 17, 71, 77], "often": [2, 3, 10, 13, 14, 17, 25, 28, 43, 46, 52, 53, 54, 55, 57, 58, 66], "fulli": [2, 3, 8, 17, 24, 26, 28, 31, 32, 35, 38, 44, 51, 52, 53, 54, 55, 58, 59, 64, 66, 71, 72], "rigor": [2, 24], "correct": [2, 8, 9, 11, 17, 24, 25, 28, 32, 35, 46, 51, 53, 57, 59, 64, 66, 67, 71], "theoret": [2, 17, 24, 31, 39, 77], "valu": [2, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 42, 43, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "larger": [2, 13, 14, 17, 25, 51, 52, 57, 60, 71, 75], "than": [2, 3, 5, 8, 11, 12, 13, 14, 17, 24, 29, 30, 31, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "max_int": 2, "overflow": [2, 17, 59, 66, 71], "bad": [2, 11, 12, 14, 17, 34, 59, 64], "event": [2, 17, 51], "practic": [2, 3, 5, 17, 24, 25, 32, 34, 39, 42, 53, 55, 57, 58, 64, 66, 71, 74, 77], "translat": [2, 3, 17, 24, 25, 33, 41, 45, 57, 71, 75], "magic": [2, 17, 24, 55, 59], "improv": [2, 3, 8, 11, 17, 24, 29, 52, 54, 57, 67], "asymptot": [2, 59], "complex": [2, 11, 17, 24, 25, 29, 33, 35, 52, 54, 55, 57, 59, 61, 63, 66, 67], "represent": [2, 3, 5, 11, 12, 17, 24, 29, 34, 37, 51, 53, 57, 64, 71], "mul": [2, 5, 17, 36, 52, 57, 59, 71], "stai": [2, 27], "quadrat": [2, 17], "interest": [2, 4, 5, 11, 17, 24, 31, 42, 54, 57, 67], "associ": [2, 3, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 36, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67], "primit": [2, 10, 12, 13, 14, 17, 24, 25, 27, 30, 33, 34, 41, 46, 54, 55, 57, 64, 67], "counterpart": [2, 3, 9, 11, 17, 30, 34, 57], "bool": [2, 3, 4, 5, 12, 13, 17, 24, 27, 30, 35, 36, 37, 40, 41, 42, 44, 46, 55, 57, 58, 59, 60, 71], "true": [2, 3, 4, 5, 7, 9, 11, 12, 13, 14, 17, 24, 26, 27, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 62, 64, 67, 71, 74], "fals": [2, 4, 5, 9, 10, 12, 13, 17, 24, 27, 34, 37, 40, 41, 46, 51, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71], "sumbool": [2, 27, 46, 71], "enclos": [2, 29, 41, 53, 54, 55, 66, 71, 75], "parenthes": [2, 3, 8, 17, 24, 28, 29, 35, 37, 46, 54, 55, 57, 58, 67, 71], "meet": [2, 9, 71], "lexic": [2, 17, 25, 51, 59, 71, 75], "criteria": [2, 17, 72], "infix": [2, 14, 17, 24, 25, 27, 42, 57, 58, 64, 74], "symbol": [2, 3, 11, 14, 17, 24, 25, 27, 28, 29, 31, 41, 42, 43, 46, 57, 59, 60, 62, 64, 67, 71, 75, 77], "rest": [2, 3, 13, 17, 26, 29, 36, 42, 52, 57, 66], "prod": [2, 17, 26, 27, 34, 46, 62, 67], "caveat": [2, 17, 25, 55, 57, 60], "abov": [2, 3, 5, 11, 13, 14, 17, 24, 28, 30, 34, 37, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 75], "succ": [2, 24, 54, 59, 64], "fo": 2, "els": [2, 4, 9, 11, 12, 13, 17, 29, 30, 35, 40, 41, 46, 52, 54, 55, 57, 59, 62, 67, 71, 75], "interfac": [2, 17, 24, 25, 35, 52, 53, 66, 74, 75, 76], "link": [2, 16, 17, 24, 27, 46, 53, 57, 72, 75], "linker": [2, 24], "know": [2, 8, 17, 24, 27, 32, 34, 42, 46, 52, 53, 54, 55, 57, 59, 60, 62, 64, 67, 71], "extern": [2, 5, 11, 13, 17, 29, 33, 52, 54, 55, 59, 60, 63, 66, 73, 74, 75], "shall": [2, 17, 24, 26, 31, 34, 39, 42, 57, 71], "access": [2, 5, 14, 17, 24, 25, 28, 32, 33, 34, 35, 36, 38, 44, 51, 52, 53, 55, 57, 59, 71], "callback": [2, 17], "referenc": [2, 17, 53, 71], "stdlib": [2, 3, 5, 7, 9, 11, 12, 14, 17, 27, 28, 29, 35, 51, 53, 54, 55, 57, 59, 60, 64, 67, 72, 75], "f_impl": 2, "compat": [2, 3, 4, 13, 14, 24, 25, 29, 34, 42, 51, 52, 53, 58, 62, 63, 64, 71], "support": [2, 3, 4, 5, 6, 8, 9, 11, 13, 14, 17, 24, 25, 30, 32, 34, 35, 36, 37, 40, 41, 42, 44, 51, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76], "thrown": 2, "after": [2, 4, 5, 7, 8, 9, 11, 13, 17, 24, 29, 32, 34, 35, 38, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "callabl": 2, "express": [2, 3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 39, 40, 41, 43, 44, 57, 58, 59, 60, 64, 66, 67, 75], "signal": [2, 8, 17, 57], "alias": [2, 17, 24, 25, 29, 35, 55], "uniqu": [2, 3, 12, 13, 17, 24, 31, 35, 38, 57, 59, 67, 71], "multipl": [2, 3, 4, 9, 14, 17, 24, 25, 27, 29, 34, 35, 40, 44, 52, 58, 59, 60, 64, 66, 67, 71], "expos": [2, 17, 25, 40, 41, 57, 71], "share": [2, 11, 13, 14, 17, 24, 28, 29, 34, 46, 51, 52, 53, 57, 59, 60, 64, 67, 71], "impact": [2, 17, 53, 66, 71], "synthesis": 2, "thu": [2, 3, 4, 5, 10, 12, 17, 24, 32, 34, 42, 43, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "safeti": 2, "registr": [2, 17, 25], "usabl": [2, 17, 24, 38, 52, 66, 67, 71], "togeth": [2, 3, 9, 17, 24, 25, 27, 31, 34, 35, 43, 53, 54, 55, 57, 66, 71, 75], "map": [2, 3, 5, 13, 17, 24, 25, 26, 34, 35, 36, 39, 41, 44, 51, 53, 57, 58, 59, 60, 71, 72, 75], "directli": [2, 3, 4, 9, 13, 14, 17, 24, 27, 28, 34, 43, 51, 52, 53, 55, 57, 58, 60, 64, 67, 72, 75], "happen": [2, 4, 9, 10, 13, 17, 34, 38, 46, 52, 54, 55, 57, 58, 64, 71, 72], "instruct": [2, 5, 17, 53, 58, 59], "particular": [2, 3, 6, 9, 10, 12, 13, 17, 29, 30, 31, 32, 33, 34, 37, 38, 40, 42, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71, 75], "blacklist": [2, 17, 59], "includ": [2, 3, 5, 8, 9, 12, 13, 14, 17, 24, 25, 27, 28, 29, 34, 35, 36, 38, 39, 40, 41, 43, 44, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 73, 75], "natur": [2, 5, 7, 9, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 34, 35, 37, 39, 40, 42, 44, 46, 52, 53, 57, 58, 59, 62, 64, 66, 71, 72], "finer": [2, 17, 34, 57], "grain": [2, 17, 41], "bit": [2, 5, 17, 29, 30, 34, 36, 51, 53, 66, 71, 75, 77], "mask": [2, 35], "unless": [2, 3, 13, 14, 17, 29, 40, 41, 42, 44, 51, 52, 57, 58, 64, 71, 72, 75], "treatment": [2, 9, 17, 40], "fixpoint": [2, 3, 10, 13, 17, 24, 25, 27, 29, 30, 31, 32, 37, 38, 41, 44, 46, 52, 57, 59, 64, 66, 67, 71, 72], "simplifi": [2, 11, 17, 24, 41, 54, 57, 64, 67], "redux": 2, "factor": [2, 5, 11, 17, 25, 34, 45], "16": [2, 25, 53, 54, 57, 71], "32": [2, 17, 36, 51, 53, 66], "6": [2, 9, 25, 29, 35, 53, 54, 55, 57, 58, 71, 74, 77], "64": [2, 36, 51, 66], "swap": [2, 17, 54, 57, 58], "lambda": [2, 3, 10, 11, 17, 31, 52, 55, 64, 67, 71, 77], "7": [2, 11, 25, 54, 57, 64, 71, 74, 75, 77], "128": 2, "256": 2, "push": [2, 17, 57, 71], "9": [2, 24, 25, 29, 30, 35, 53, 54, 57, 64, 71, 74, 77], "512": 2, "linear": [2, 3, 11, 14, 17, 24, 25, 46, 51, 54, 55, 57, 64], "10": [2, 5, 24, 25, 29, 31, 52, 54, 57, 59, 60, 64, 71, 74, 77], "1024": 2, "typeexpand": 2, "expand": [2, 13, 14, 17, 28, 29, 30, 31, 35, 37, 41, 46, 52, 54, 55, 57, 58, 64, 67, 71], "learn": [2, 17, 25, 54, 72], "written": [2, 3, 5, 11, 13, 17, 24, 26, 28, 29, 34, 35, 36, 37, 42, 43, 44, 46, 52, 53, 54, 55, 57, 59, 64, 71, 73, 74], "due": [2, 3, 13, 14, 17, 24, 27, 30, 34, 46, 52, 54, 55, 59, 64, 66, 67, 71, 72, 73], "typabl": [2, 4, 34], "now": [2, 3, 4, 11, 13, 14, 17, 24, 26, 27, 30, 34, 35, 41, 42, 46, 51, 52, 53, 54, 55, 57, 59, 60, 64, 67, 71, 72, 74], "solv": [2, 3, 5, 7, 11, 13, 17, 24, 25, 39, 42, 44, 57, 60, 61, 62, 64, 67], "problem": [2, 4, 7, 9, 13, 17, 24, 29, 34, 42, 44, 46, 51, 52, 53, 54, 58, 62, 66, 67], "least": [2, 3, 12, 13, 17, 25, 28, 29, 30, 34, 41, 46, 52, 53, 57, 58, 64, 66, 67, 71, 72, 74, 75], "unsaf": [2, 17, 55, 66], "cast": [2, 12, 17, 25, 40, 46, 54, 55, 57, 58, 60, 64, 71], "obj": [2, 24, 42], "veri": [2, 8, 9, 11, 13, 17, 24, 25, 27, 29, 34, 42, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67], "polymorph": [2, 3, 13, 17, 24, 25, 26, 29, 30, 31, 32, 33, 37, 39, 40, 41, 44, 46, 51, 59, 66, 67, 71], "alright": 2, "refus": [2, 3, 64], "checker": [2, 9, 11, 17, 24, 25, 26, 29, 33, 73], "known": [2, 8, 10, 12, 13, 17, 24, 27, 30, 33, 34, 39, 41, 44, 51, 55, 57, 66, 71], "distr": 2, "dp": [2, 17], "foral": [2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 36, 37, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "direct": [2, 9, 12, 16, 17, 24, 31, 34, 42, 46, 52, 53, 57, 58, 71], "restrict": [2, 3, 12, 14, 17, 24, 26, 34, 35, 40, 51, 54, 57, 58, 59, 60, 62, 67, 71], "secondli": [2, 17], "quantif": [2, 3, 4, 13, 14, 17, 24, 26, 27, 28, 60, 67], "anyth": [2, 13, 17, 35, 44, 46, 51, 55, 57, 58, 64, 75], "anything_rect": 2, "anything_ind": 2, "anything_rec": 2, "anything_sind": 2, "dynam": [2, 11, 13, 17, 25, 36, 59, 71], "gadt": 2, "yet": [2, 17, 42, 43, 46, 51, 52, 54, 55, 57, 58, 60, 66, 71, 72], "those": [2, 3, 5, 10, 11, 12, 17, 24, 26, 33, 34, 35, 37, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "get": [2, 5, 9, 11, 13, 14, 17, 24, 25, 28, 29, 34, 36, 42, 51, 52, 53, 55, 58, 59, 60, 64, 66, 67], "segment": [2, 17, 24, 52, 59, 71], "fault": [2, 24, 71], "your": [2, 3, 8, 11, 14, 15, 17, 25, 29, 51, 52, 54, 55, 57, 58, 59, 60, 62, 66, 71, 73, 74, 75], "seem": [2, 5, 17, 71], "ill": [2, 4, 9, 10, 17, 24, 26, 30, 34, 51, 55, 64, 71, 72], "go": [2, 5, 9, 17, 24, 30, 42, 51, 52, 54, 55, 57, 59, 60, 64, 67, 71, 75], "wrong": [2, 3, 17, 24, 44, 51, 54, 66, 72], "come": [2, 6, 8, 13, 17, 24, 27, 34, 43, 51, 52, 54, 55, 57, 59, 60, 64, 71], "Of": [2, 14, 42, 51, 57], "launch": [2, 13, 17, 25, 52, 53], "appli": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 41, 42, 44, 46, 51, 53, 54, 55, 59, 60, 62, 66, 71, 72, 75], "shape": [2, 3, 57], "point": [2, 3, 11, 13, 17, 24, 25, 26, 32, 34, 35, 36, 39, 51, 52, 53, 54, 55, 57, 66, 71], "view": [2, 11, 17, 25, 26, 29, 32, 34, 39, 41, 52, 55, 60, 66], "about": [2, 3, 5, 11, 13, 14, 15, 17, 24, 25, 29, 30, 34, 37, 39, 41, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72], "let02": [2, 77], "sai": [2, 3, 4, 17, 24, 26, 27, 28, 29, 31, 34, 42, 52, 53, 54, 55, 57, 58, 64, 71, 74], "though": [2, 8, 9, 17, 24, 29, 35, 37, 46, 51, 53, 54, 55, 64, 67, 71], "realist": [2, 42], "accept": [2, 3, 8, 13, 17, 24, 28, 29, 30, 32, 34, 40, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 72], "without": [2, 3, 5, 8, 9, 11, 13, 14, 17, 24, 26, 29, 32, 33, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75, 77], "below": [2, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 31, 34, 35, 38, 40, 41, 43, 51, 52, 53, 54, 55, 57, 64, 66, 71, 72, 74, 75], "choos": [2, 3, 17, 32, 34, 42, 43, 52, 53, 54, 57, 58, 67, 71, 72, 75], "everyth": [2, 17, 52, 53], "slight": [2, 17, 24, 58], "modif": [2, 4, 11, 17, 36, 41, 58, 71], "find": [2, 3, 4, 5, 7, 11, 13, 14, 16, 17, 25, 27, 29, 34, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 72, 77], "Its": [2, 3, 11, 17, 24, 52, 55, 57, 60, 67, 74], "euclid": [2, 17, 24], "unari": [2, 3, 26, 29, 34, 64], "repres": [2, 3, 5, 11, 13, 14, 17, 24, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 40, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71], "theorem": [2, 5, 7, 8, 11, 12, 17, 24, 25, 27, 29, 32, 33, 35, 37, 38, 42, 43, 51, 52, 57, 59, 60, 62, 65, 66, 71, 73, 74, 75, 77], "eucl_dev": 2, "whose": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 31, 33, 34, 35, 37, 39, 41, 42, 44, 46, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 75], "diveucl": 2, "quotient": [2, 5, 17, 40, 57, 64], "modulo": [2, 4, 5, 11, 17, 24, 34, 54, 57, 58, 59, 71], "assert": [2, 17, 24, 25, 26, 28, 34, 41, 54, 55, 57, 58, 62, 64, 66, 67, 71], "disappear": [2, 17, 24, 34, 55, 60, 67, 71], "wf_nat": [2, 17, 24], "gt_wf_rec": 2, "lt_wf_rec": [2, 24], "induction_ltof2": 2, "val": [2, 34, 55, 57], "sub": [2, 4, 8, 17, 36, 41, 46, 51, 53, 54, 57, 59, 60, 67, 71], "rec": [2, 17, 24, 35, 54, 55, 75], "le_lt_dec": [2, 17, 24], "n0": [2, 9, 31, 46, 57, 58, 67, 72], "n1": [2, 9, 34, 53, 57, 72], "le_gt_dec": 2, "divex": 2, "d": [2, 4, 5, 11, 14, 17, 24, 26, 34, 46, 51, 52, 53, 54, 57, 58, 62, 67, 75, 77], "q": [2, 3, 5, 7, 10, 11, 12, 17, 24, 27, 34, 35, 46, 51, 53, 54, 55, 57, 58, 59, 67, 71, 75], "r": [2, 3, 5, 7, 9, 11, 13, 14, 17, 24, 27, 28, 34, 35, 37, 41, 44, 51, 53, 54, 57, 58, 59, 60, 64, 67, 71, 72, 75, 77], "mandatori": [2, 8, 17, 32, 57, 66, 71], "enhanc": [2, 17, 52, 57], "past": [2, 17, 52, 64], "u": [2, 3, 4, 9, 10, 11, 14, 17, 24, 26, 27, 31, 34, 35, 38, 39, 41, 42, 46, 51, 53, 54, 55, 57, 58, 62, 64, 67, 71], "plai": [2, 17, 26, 42, 64, 66], "toplevel": [2, 10, 13, 14, 17, 24, 25, 27, 29, 35, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 71, 72, 74], "easier": [2, 10, 17, 24, 45, 52, 57, 58, 67, 71], "nat_of_int": 2, "int_of_nat": 2, "div": [2, 3, 5, 11, 17, 59], "173": [2, 14], "15": [2, 13, 25, 52, 53, 57, 66], "mere": [2, 17, 55, 57, 64, 71], "extrocamlintconv": 2, "concret": [2, 13, 14, 17, 25, 26, 29, 34, 42, 46, 51, 57, 64, 71], "patholog": 2, "success": [2, 3, 4, 5, 13, 17, 24, 25, 34, 51, 52, 55, 57, 59, 60, 62, 64, 66, 67, 74], "sever": [2, 3, 4, 5, 11, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 64, 65, 67, 71, 72, 75, 76], "chain": [2, 17, 25, 51, 64, 71, 74], "http": [2, 5, 17, 24, 25, 27, 50, 51, 52, 53, 59, 64, 75, 77], "github": [2, 5, 17, 51, 52], "com": [2, 5, 17, 51, 52, 54], "coq": [2, 8, 9, 11, 13, 15, 17, 25, 26, 29, 30, 46, 51, 53, 54, 55, 57, 58, 59, 63, 66, 71, 72, 73, 75, 76, 77], "commun": [2, 17, 24, 27, 29, 51], "hydra": 2, "battl": 2, "bdd": 2, "contrib": [2, 17, 24, 53, 55], "canon": [2, 4, 5, 11, 13, 17, 24, 25, 30, 32, 34, 35, 37, 38, 44, 45, 53, 57, 59, 71, 77], "chines": [2, 24], "continu": [2, 17, 24, 52, 53, 54, 55, 57, 71, 73], "fire": [2, 14, 17], "squad": 2, "founifi": 2, "graph": [2, 14, 17, 24, 25, 39, 54, 72], "higman": 2, "cf": [2, 9, 17, 24, 29, 34, 40, 42, 46, 59, 67], "nw": 2, "hardwar": [2, 8, 24], "multipli": [2, 57], "stalmarck": [2, 24], "probabl": [2, 17, 32, 44, 51, 54, 57, 58, 59, 75], "heavi": 2, "impred": [2, 12, 14, 17, 24, 25, 34, 51, 53, 77], "thank": [2, 5, 12, 17, 24, 34, 42, 55, 57, 64, 71], "matthieu": [3, 9, 14, 17, 77], "sozeau": [3, 9, 14, 17, 77], "equal": [3, 5, 8, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 39, 40, 42, 44, 46, 52, 54, 55, 57, 58, 60, 61, 65, 71, 72, 77], "equip": [3, 4, 17, 24, 27, 36, 42, 64], "equival": [3, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 46, 51, 52, 53, 54, 55, 59, 60, 62, 64, 66, 67, 71, 75], "behav": [3, 11, 17, 24, 28, 29, 31, 34, 35, 43, 53, 54, 55, 57, 58, 60, 62, 64, 67, 71], "weaker": [3, 17, 24, 60], "g": [3, 4, 5, 8, 9, 10, 13, 14, 17, 24, 27, 28, 29, 30, 31, 34, 35, 36, 41, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "system": [3, 8, 9, 11, 17, 24, 25, 26, 27, 28, 29, 32, 33, 34, 38, 39, 46, 51, 52, 53, 54, 55, 57, 59, 60, 62, 71, 73, 77], "toolbox": [3, 17], "extend": [3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 37, 40, 41, 42, 45, 51, 52, 53, 55, 59, 60, 71, 77], "capabl": [3, 17, 51, 53, 54, 55, 64], "document": [3, 8, 9, 11, 12, 16, 17, 24, 25, 42, 51, 52, 54, 55, 57, 59, 64, 65, 66, 67, 71, 72, 74, 76], "adapt": [3, 7, 17, 24, 51, 57, 63], "claudio": [3, 17, 24], "sacerdoti": [3, 17, 24], "coen": [3, 17, 24], "base": [3, 5, 10, 11, 12, 13, 14, 17, 24, 25, 29, 33, 35, 39, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75, 77], "cl\u00e9ment": [3, 17], "renard": [3, 24], "implement": [3, 8, 11, 12, 13, 17, 24, 25, 29, 34, 35, 36, 37, 39, 43, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 77], "drop": [3, 17, 51, 54, 59, 71], "old": [3, 11, 24, 25, 51, 53, 55, 58, 60, 66, 67], "complet": [3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 24, 29, 30, 32, 34, 36, 40, 42, 51, 52, 53, 54, 57, 58, 59, 60, 62, 66, 67, 71], "typeclass": [3, 4, 5, 7, 17, 25, 35, 37, 38, 44, 45, 58, 60, 64, 66, 71], "infrastructur": [3, 25, 42, 53], "algorithm": [3, 7, 9, 11, 13, 17, 24, 25, 41, 51, 54, 57, 59, 62, 66, 77], "constraint": [3, 5, 8, 9, 10, 13, 17, 24, 25, 34, 35, 39, 43, 44, 51, 53, 54, 55, 58, 67, 71], "ml": [3, 5, 6, 8, 11, 17, 24, 25, 26, 29, 34, 36, 46, 51, 52, 53, 54, 57, 59, 60, 63, 64, 72, 77], "resolut": [3, 13, 17, 24, 25, 58, 60, 66, 71, 75], "anoth": [3, 4, 9, 11, 13, 14, 17, 24, 27, 31, 32, 34, 35, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 63, 64, 66, 67, 71], "pure": [3, 7, 11, 17, 55, 57, 64, 71, 72, 75], "again": [3, 13, 17, 24, 34, 42, 52, 53, 55, 57, 60, 64, 66, 71], "ordinari": [3, 17, 26, 37, 39, 71], "rocq": [3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 50, 52, 54, 55, 58, 59, 62, 63, 64, 65, 66, 67, 72, 73, 76], "manipul": [3, 9, 10, 17, 24, 25, 34, 37, 39, 55, 57, 63, 77], "put": [3, 5, 13, 14, 17, 34, 35, 43, 51, 53, 54, 57, 58, 59, 60, 66, 67, 71, 72, 75], "lemma": [3, 5, 11, 13, 14, 17, 24, 25, 32, 34, 35, 36, 38, 42, 44, 46, 54, 57, 58, 59, 60, 62, 64, 67, 72], "prove": [3, 5, 7, 8, 9, 11, 17, 24, 25, 27, 30, 32, 34, 35, 42, 43, 57, 58, 60, 62, 64, 72, 77], "higher": [3, 14, 17, 24, 25, 27, 40, 51, 54, 57, 58, 59, 60, 64, 67, 71, 73, 77], "depth": [3, 5, 13, 17, 29, 54, 57, 58, 59, 60, 62, 64, 71, 75], "solut": [3, 5, 13, 17, 42, 44, 58, 59, 63, 67], "fast": [3, 17, 24, 25, 53], "besid": [3, 17, 24, 34, 57], "necessari": [3, 4, 9, 13, 17, 24, 29, 31, 33, 37, 53, 55, 57, 59, 62, 64, 67, 71], "nicola": [3, 17, 77], "tabareau": [3, 17, 77], "glu": 3, "A": [3, 4, 5, 7, 9, 10, 11, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76, 77], "x1": [3, 9, 13, 17, 27, 42, 54, 57, 59, 60, 72], "t1": [3, 13, 17, 34, 42, 46, 57], "xn": [3, 9, 17, 57], "tn": [3, 13, 17, 57], "carrier": [3, 11, 14, 42, 57], "said": [3, 4, 17, 26, 34, 36, 42, 44, 55, 59, 71], "possibli": [3, 4, 17, 24, 34, 35, 42, 43, 51, 53, 54, 57, 59, 64, 67, 71, 73], "paramet": [3, 4, 5, 7, 8, 13, 14, 17, 24, 25, 28, 29, 34, 37, 40, 41, 42, 43, 44, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 72], "finit": [3, 5, 17, 24, 30, 34], "unord": [3, 17, 57], "set_eq": 3, "satisfi": [3, 4, 5, 11, 13, 14, 17, 30, 34, 35, 54, 55, 59, 64, 67, 71], "convert": [3, 4, 12, 13, 14, 17, 25, 26, 34, 37, 41, 44, 54, 55, 57, 58, 64, 67], "reflex": [3, 5, 6, 11, 13, 17, 24, 27, 34, 36, 51, 54, 57, 59, 60, 62, 64, 66, 67, 71], "symmetri": [3, 17, 24, 34, 44, 57, 60, 64], "transit": [3, 7, 8, 13, 14, 17, 24, 25, 26, 35, 41, 44, 51, 54, 57, 58, 59, 60, 64, 66, 74], "symmetr": [3, 17, 24, 31, 59, 64, 71], "a1": [3, 27, 34, 46, 57, 58, 71], "a2": [3, 27, 34, 58], "covariantli": 3, "r1": [3, 5, 17, 27, 41, 44, 57, 59], "r2": [3, 17, 27, 41, 44, 57, 59], "whenev": [3, 7, 14, 17, 27, 29, 42, 55, 57, 62, 64, 67, 71], "imag": [3, 11, 17, 24, 51, 52, 66], "input": [3, 4, 9, 10, 13, 14, 17, 25, 27, 29, 35, 44, 46, 51, 54, 57, 58, 60, 64, 71, 72, 74, 75], "monoton": [3, 4, 17], "i_": [3, 34, 57], "r_1": 3, "r_2": 3, "notic": [3, 4, 5, 17, 26, 34, 35, 38, 46, 51, 52, 54, 57, 58, 64, 66, 71, 72, 74], "arrow": [3, 4, 14, 17, 52, 57, 60, 64, 67], "reader": [3, 11, 24, 29, 31, 42, 57], "between": [3, 4, 10, 11, 13, 14, 17, 24, 25, 26, 27, 29, 33, 34, 38, 39, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 64, 65, 67, 71, 72, 75], "introduc": [3, 5, 8, 10, 11, 13, 14, 17, 24, 25, 28, 30, 31, 34, 35, 37, 38, 43, 44, 46, 51, 52, 55, 57, 58, 59, 60, 62, 66, 67, 71, 72, 75], "straightforwardli": 3, "ari": [3, 17, 34], "simultan": [3, 17, 24, 25, 26, 30, 32, 34, 42, 53, 57, 58], "everi": [3, 9, 11, 12, 13, 14, 17, 28, 29, 34, 40, 51, 52, 54, 55, 57, 58, 64, 71], "argument": [3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 38, 40, 42, 43, 45, 51, 52, 54, 55, 58, 59, 60, 62, 64, 66, 72, 75], "invers": [3, 11, 17, 24, 25, 31, 58, 60, 64, 72, 77], "t_1": [3, 26, 31, 34, 35], "ldot": [3, 7, 34], "t_n": [3, 26, 34, 66], "union": [3, 13, 17, 54, 59, 66, 77], "append": [3, 17, 29, 35, 43, 53, 54, 66, 75], "binari": [3, 5, 7, 11, 14, 17, 24, 29, 37, 42, 51, 53, 57, 58, 60, 64, 71], "latter": [3, 11, 17, 28, 34, 35, 42, 51, 54, 55, 57, 58, 64, 66, 67, 75], "condit": [3, 4, 9, 11, 17, 24, 25, 30, 50, 53, 59, 60, 63, 64, 66, 67], "s1": [3, 30, 38, 57], "s2": [3, 30], "divis": [3, 11, 17, 24, 25, 57], "rdiv": [3, 5], "le": [3, 5, 13, 14, 17, 24, 27, 42, 46, 52, 55, 57, 64, 67, 77], "usual": [3, 8, 9, 12, 17, 25, 26, 27, 28, 30, 34, 35, 37, 40, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "leibniz": [3, 5, 7, 11, 13, 17, 24, 25, 27, 35, 40, 57, 58, 67], "unfortun": [3, 5, 17, 42, 46, 57], "intend": [3, 17, 24, 28, 32, 39, 51, 57, 64, 66, 71], "next": [3, 9, 13, 17, 24, 27, 29, 33, 34, 42, 44, 46, 51, 52, 54, 55, 57, 60, 64, 65, 66, 67, 71], "section": [3, 5, 6, 7, 8, 9, 10, 11, 12, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 67, 71, 74], "deal": [3, 5, 8, 13, 17, 24, 25, 42, 46, 57, 60, 64, 71, 72], "exact": [3, 12, 14, 17, 24, 25, 35, 40, 43, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71], "goal": [3, 6, 7, 8, 9, 12, 13, 14, 17, 24, 25, 27, 29, 31, 34, 35, 36, 37, 38, 42, 43, 44, 52, 53, 59, 60, 61, 62, 64, 71, 72, 74], "howev": [3, 4, 5, 9, 12, 13, 14, 17, 24, 27, 29, 34, 36, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 72], "verifi": [3, 7, 9, 11, 14, 17, 24, 25, 29, 31, 32, 33, 35, 51, 60, 66], "verif": [3, 24, 25, 32, 66, 67, 77], "consist": [3, 4, 5, 11, 13, 14, 17, 24, 27, 30, 31, 34, 35, 52, 55, 57, 58, 59, 64, 65, 66, 71], "composit": [3, 71], "some": [3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 71, 72, 73, 75], "obviou": [3, 34, 57, 71], "suppos": [3, 9, 17, 55, 57, 64], "hypothesi": [3, 9, 11, 17, 24, 25, 27, 28, 29, 34, 38, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 75], "h": [3, 4, 6, 9, 11, 12, 13, 14, 17, 24, 27, 34, 40, 44, 46, 51, 54, 55, 57, 58, 62, 64, 66, 67, 72, 75, 77], "These": [3, 11, 13, 14, 17, 24, 25, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 52, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "attribut": [3, 5, 9, 13, 14, 16, 25, 28, 30, 32, 34, 37, 40, 41, 42, 44, 51, 54, 55, 59, 60, 62, 64, 66, 71, 74], "univers": [3, 4, 8, 9, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 37, 39, 40, 44, 46, 51, 54, 57, 59, 62, 66, 67, 71, 77], "add": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 29, 31, 32, 34, 37, 41, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75], "one_term": [3, 5, 7, 11, 13, 29, 34, 54, 58, 60, 62, 64, 67, 71, 72], "aeq": 3, "\u03b1": [3, 14, 25, 54, 55, 57], "typeabl": 3, "fresh": [3, 14, 17, 24, 25, 31, 34, 53, 57, 58, 64, 66, 67, 71], "intern": [3, 5, 11, 14, 17, 24, 25, 31, 34, 37, 44, 51, 53, 54, 55, 58, 60, 62, 66, 67, 71, 72, 73, 74, 77], "although": [3, 5, 9, 17, 35, 37, 53, 55, 57, 58, 60, 64, 66], "depart": 3, "To": [3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 17, 24, 25, 27, 29, 30, 32, 34, 37, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 74, 75], "eq": [3, 5, 11, 14, 17, 27, 35, 40, 42, 54, 57, 58, 59, 64, 67, 71], "refl_equ": [3, 17, 57], "properti": [3, 4, 6, 9, 11, 12, 13, 17, 24, 25, 26, 27, 30, 31, 32, 34, 38, 39, 42, 45, 46, 57, 58, 67, 72, 77], "deriv": [3, 5, 9, 13, 17, 24, 25, 26, 30, 34, 38, 40, 54, 64, 66, 73], "autorewrit": [3, 17, 24, 60], "abl": [3, 8, 11, 13, 14, 17, 24, 25, 34, 42, 44, 46, 51, 53, 55, 57, 58, 59, 61, 62, 67], "defined": 3, "interact": [3, 6, 10, 13, 17, 24, 25, 32, 33, 37, 38, 40, 42, 43, 52, 59, 65, 66, 67, 71, 75, 76, 77], "denot": [3, 4, 11, 17, 24, 26, 28, 29, 30, 34, 35, 39, 40, 42, 43, 52, 54, 57, 58, 67, 71], "small": [3, 5, 8, 11, 14, 17, 25, 26, 33, 34, 39, 42, 44, 52, 53, 57, 64], "theori": [3, 4, 5, 11, 17, 24, 25, 26, 27, 28, 29, 39, 42, 46, 51, 53, 57, 58, 60, 62, 67, 71, 77], "homogen": [3, 17], "export": [3, 5, 8, 9, 11, 13, 17, 24, 29, 35, 38, 51, 52, 54, 55, 59, 60, 71], "relation_definit": [3, 13, 17, 42, 59], "eq_set": 3, "axiom": [3, 6, 7, 9, 10, 11, 12, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74], "eq_set_refl": 3, "eq_set_sym": 3, "eq_set_tran": 3, "empty_neutr": 3, "union_compat": 3, "eq_set_rel": 3, "eq_set_rel_rel": 3, "eq_set_rel_reflex": 3, "eq_set_rel_symmetr": 3, "eq_set_rel_transit": 3, "union_mor": 3, "x0": [3, 13, 17, 37, 43, 44, 54, 66, 71], "y0": [3, 13, 43], "No": [3, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 30, 34, 35, 36, 40, 42, 44, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74], "qed": [3, 5, 6, 8, 9, 12, 13, 14, 17, 24, 29, 32, 34, 36, 38, 40, 42, 51, 52, 54, 57, 58, 59, 60, 62, 64, 66, 67, 72], "reduc": [3, 7, 8, 10, 11, 12, 13, 17, 24, 26, 31, 32, 34, 36, 37, 40, 41, 44, 51, 53, 57, 58, 59, 60, 64, 66, 67, 71], "burden": [3, 63], "maxim": [3, 13, 17, 25, 41, 51, 57, 71, 77], "insert": [3, 4, 9, 12, 13, 17, 24, 25, 29, 41, 46, 52, 53, 55, 57, 66, 71, 75], "write": [3, 4, 8, 11, 13, 14, 17, 24, 25, 26, 27, 29, 31, 32, 33, 34, 38, 39, 43, 51, 53, 54, 55, 57, 58, 59, 63, 66, 67, 71, 73, 75], "proce": [3, 11, 13, 52, 57, 71], "simpl": [3, 4, 10, 11, 17, 24, 25, 29, 37, 41, 42, 43, 46, 52, 53, 54, 57, 58, 59, 60, 62, 67, 72], "step": [3, 5, 7, 11, 13, 17, 24, 25, 26, 29, 41, 51, 52, 53, 54, 58, 60, 64, 65, 67], "applic": [3, 5, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 35, 36, 37, 41, 46, 52, 55, 57, 59, 60, 64, 66, 67, 71, 72, 77], "establish": [3, 17, 57], "intro": [3, 5, 11, 12, 13, 17, 24, 25, 34, 42, 43, 44, 52, 54, 55, 60, 62, 64, 66, 67, 71, 72], "manag": [3, 13, 17, 24, 25, 32, 38, 51, 53, 57, 59, 60, 62, 73], "hypothes": [3, 5, 9, 13, 17, 24, 25, 28, 32, 34, 51, 57, 60, 62, 64, 67, 71], "One": [3, 8, 9, 13, 14, 17, 25, 31, 32, 34, 37, 38, 39, 44, 51, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "cmd": [3, 17, 38, 51, 52, 54], "exist": [3, 4, 5, 9, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74], "outsid": [3, 5, 9, 11, 12, 13, 14, 17, 28, 29, 35, 38, 40, 41, 42, 43, 53, 54, 59, 60, 66, 71], "suffix": [3, 17, 35, 51, 52, 53, 54, 57, 59, 71, 75], "_morphism": 3, "modifi": [3, 4, 8, 11, 13, 14, 17, 24, 25, 29, 36, 38, 41, 51, 52, 54, 55, 57, 58, 64, 66, 67, 71], "themselv": [3, 13, 14, 17, 26, 35, 37, 39, 41, 42, 53, 57, 59, 64, 71], "exploit": [3, 17, 24, 57, 67], "monotoni": 3, "hand": [3, 10, 12, 13, 17, 25, 27, 29, 33, 35, 52, 53, 54, 55, 57, 58, 64, 67, 71, 72], "partial": [3, 13, 17, 24, 34, 35, 37, 44, 51, 53, 54, 57, 59, 62, 66, 71, 72], "domain": [3, 5, 11, 14, 17, 24, 25, 26, 34, 42, 61, 64, 71], "compris": [3, 24], "eqo": 3, "smallest": [3, 5, 27, 34, 67], "nonzero": [3, 11, 37, 54], "eq0": 3, "open": [3, 5, 6, 11, 13, 17, 25, 27, 35, 36, 38, 50, 52, 54, 55, 57, 59, 60, 64, 66], "addit": [3, 4, 5, 8, 9, 13, 17, 24, 25, 27, 29, 31, 34, 35, 39, 51, 52, 53, 54, 55, 58, 59, 62, 64, 65, 66, 67, 71, 72, 73], "up": [3, 8, 13, 17, 24, 25, 26, 31, 34, 35, 38, 42, 43, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 75], "longer": [3, 9, 17, 24, 31, 34, 38, 44, 52, 53, 58, 66, 67, 71], "posit": [3, 4, 5, 7, 9, 10, 11, 14, 17, 24, 25, 30, 36, 37, 39, 41, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "z": [3, 5, 7, 11, 13, 14, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 44, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "lt": [3, 9, 13, 17, 27, 42, 71, 72], "increas": [3, 5, 8, 17, 24, 53, 57, 62], "decreas": [3, 7, 9, 17, 30, 34, 55, 59, 72], "dualli": [3, 44, 57], "hold": [3, 4, 17, 30, 34, 35, 40, 42, 55, 58, 75], "On": [3, 10, 12, 17, 24, 27, 30, 32, 37, 40, 44, 46, 51, 52, 53, 54, 57, 58, 64, 71], "contrari": [3, 4, 9, 13, 17, 30, 40, 44, 57, 67], "messag": [3, 4, 8, 11, 12, 13, 14, 16, 17, 24, 26, 28, 29, 30, 34, 35, 37, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "rewritten": [3, 9, 11, 24, 30, 46, 57, 58, 64], "compos": [3, 4, 34, 44, 57, 67, 71], "propag": [3, 11, 17, 41], "varianc": [3, 17], "annot": [3, 9, 14, 17, 24, 25, 27, 34, 41, 42, 45, 51, 53, 55, 57, 66], "switch": [3, 8, 13, 14, 17, 24, 25, 51, 53, 66], "travers": [3, 17, 57, 58, 67], "detail": [3, 5, 7, 14, 25, 31, 36, 37, 41, 42, 51, 52, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "contravariantli": 3, "differ": [3, 4, 9, 11, 13, 14, 15, 17, 24, 25, 26, 29, 31, 34, 35, 37, 38, 41, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 71, 72, 73, 75, 77], "duplic": [3, 11, 17, 43, 57, 67, 71], "multiset_eq": 3, "repeat": [3, 17, 25, 43, 44, 52, 55, 57, 58, 59, 66, 67], "request": [3, 14, 17, 25, 43, 51, 64], "unclear": [3, 10, 54], "analog": [3, 17, 34, 54, 57, 58, 66], "crelat": 3, "cmorphism": [3, 17], "cequival": 3, "rewriterel": [3, 17, 57], "index": [3, 13, 17, 24, 25, 26, 27, 29, 39, 40, 44, 52, 58, 60, 64, 66, 67, 73, 75], "iff": [3, 17, 26, 27, 31, 57, 59, 71], "impl": [3, 5, 59], "flip": [3, 17], "pointwis": 3, "simpli": [3, 4, 11, 13, 14, 17, 24, 31, 39, 54, 55, 57, 59, 62, 67, 71, 75], "machineri": [3, 17, 57], "infer": [3, 4, 9, 10, 13, 14, 24, 25, 26, 34, 37, 40, 41, 42, 45, 46, 51, 57, 58, 60, 62, 67, 71], "face": [3, 17, 75], "situat": [3, 4, 11, 17, 46, 54, 57, 71], "instanti": [3, 10, 13, 14, 17, 24, 34, 35, 43, 44, 54, 55, 57, 58, 60, 62, 67, 71], "discharg": [3, 14, 17, 24, 25, 28, 38, 72], "That": [3, 27, 29, 30, 34, 36, 52, 54, 55, 58, 64, 66], "variou": [3, 16, 17, 24, 25, 28, 29, 34, 44, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 71], "hint": [3, 13, 14, 17, 24, 25, 27, 35, 38, 54, 62, 64, 75], "databas": [3, 13, 17, 25, 54, 57, 62, 64], "refl": [3, 17], "sym": [3, 17, 44], "tran": [3, 17], "id": [3, 4, 9, 10, 14, 17, 24, 26, 34, 35, 42, 44, 51, 52, 53, 54, 55, 57, 58, 64, 66, 71, 75], "equivalence_reflex": [3, 59], "equivalence_symmetr": [3, 59], "equivalence_transit": 3, "amount": [3, 5, 8, 14, 17, 51, 54, 58], "relationclass": [3, 17, 64], "further": [3, 17, 30, 35, 41, 51, 52, 54, 55, 57, 64, 66, 67, 71], "explan": [3, 13, 37, 45, 51, 58, 59, 67], "encod": [3, 13, 17, 24, 25, 27, 34, 53, 71, 75], "car": 3, "eq_rel": 3, "eq_rel_rel": 3, "eq_rel_reflex": 3, "eq_rel_symmetr": 3, "eq_rel_transit": 3, "x2": [3, 27, 42, 59, 60, 72], "apply_mor": 3, "setoid_": [3, 17], "moreov": [3, 5, 17, 28, 44, 46, 51, 52, 57, 62, 71], "unprefix": 3, "fall": [3, 9, 10, 13, 24, 53], "back": [3, 9, 14, 17, 24, 51, 52, 54, 57, 59, 66, 67], "involv": [3, 4, 9, 12, 17, 24, 25, 26, 34, 41, 42, 51, 52, 53, 54, 57, 59, 60, 62, 64, 67], "pass": [3, 5, 8, 10, 12, 17, 24, 37, 38, 42, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 75], "etransit": [3, 17, 43, 64], "one_term_with_bind": [3, 58, 64, 67, 72], "rewrite_occ": [3, 64], "int_or_var": [3, 54, 66, 71], "ltac_expr3": [3, 29, 54, 58, 64, 66], "defaultrel": 3, "By": [3, 4, 5, 11, 12, 13, 14, 17, 29, 37, 44, 46, 51, 53, 54, 55, 57, 60, 64, 66, 67, 71], "recent": [3, 24, 25, 53, 71], "environ": [3, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 28, 30, 31, 32, 34, 35, 38, 42, 43, 52, 53, 55, 57, 60, 62, 64, 66, 67, 71, 72, 75], "simul": [3, 17, 24, 57, 66], "understand": [3, 5, 10, 12, 15, 17, 24, 25, 29, 33, 51, 53, 54, 55, 59, 60], "congruenc": [3, 12, 17, 24, 25, 34, 54, 62, 64, 67], "pack": [3, 42, 53], "slightli": [3, 17, 24, 35, 51, 52, 54, 55, 57, 58, 67], "permut": [3, 17, 25, 55, 57], "bi": 3, "implic": [3, 17, 26, 27, 28, 42, 54, 57, 60, 66, 67, 71], "port": [3, 17, 24, 55, 72], "semant": [3, 11, 13, 14, 17, 24, 25, 26, 29, 35, 36, 39, 41, 44, 53, 54, 57, 58, 71, 77], "limit": [3, 5, 9, 10, 13, 14, 17, 24, 25, 29, 35, 41, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 71, 72], "lift": [3, 12, 14, 17], "were": [3, 11, 13, 17, 24, 34, 35, 36, 38, 42, 44, 51, 53, 54, 55, 59, 60, 66, 71, 72, 75], "discuss": [3, 17, 24, 25, 54], "setoid_rewrit": [3, 17, 24, 60, 64], "head": [3, 10, 13, 14, 17, 24, 26, 30, 35, 41, 42, 44, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71], "constr": [3, 5, 14, 17, 24, 34, 42, 54, 55, 57, 71], "bind": [3, 9, 10, 14, 17, 24, 25, 28, 32, 34, 35, 37, 40, 43, 44, 46, 51, 54, 57, 64, 66, 67, 72], "construct": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 27, 28, 29, 30, 31, 33, 35, 41, 42, 43, 46, 52, 53, 55, 57, 58, 62, 63, 64, 65, 66, 67, 71, 77], "ex": [3, 17, 24, 27, 44, 58, 67, 71], "existenti": [3, 6, 9, 10, 13, 17, 24, 25, 26, 34, 41, 45, 54, 58, 59, 60, 64, 66, 67], "morphisms_prop": [3, 17], "all_iff_morph": 3, "pointwise_rel": 3, "simpl_rel": [3, 17], "predic": [3, 9, 17, 24, 25, 26, 27, 30, 34, 40, 42, 54, 60, 64, 77], "onc": [3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 32, 34, 41, 42, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72], "implicitli": [3, 13, 14, 17, 24, 34, 51, 55, 59, 60, 64], "inde": [3, 4, 11, 12, 13, 14, 17, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "surround": [3, 17, 44, 57, 59, 71], "whatev": [3, 44, 64, 75], "map_morph": 3, "eqa": [3, 13], "eqb": [3, 5, 13, 17, 36, 59], "list_equiv": 3, "parameter": [3, 5, 11, 14, 17, 24, 25, 28, 37, 40, 54], "captur": [3, 17, 34, 44, 57, 64, 71], "bound": [3, 5, 6, 7, 10, 14, 17, 24, 25, 26, 28, 31, 32, 34, 39, 41, 42, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 72], "With": [3, 4, 13, 14, 17, 46, 53, 57, 58, 67, 71], "subterm": [3, 9, 10, 11, 17, 24, 25, 31, 34, 41, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72], "almost": [3, 17, 57, 67, 75], "recov": [3, 8, 14, 17, 30, 46, 51, 54, 67], "smaller": [3, 11, 14, 17, 32, 33, 34, 53, 58, 62, 67, 72], "dual": [3, 9, 24, 55], "why": [3, 11, 17, 34, 37, 43, 55], "conjunct": [3, 5, 11, 17, 24, 34, 57, 59, 60, 67, 71], "suffici": [3, 5, 11, 13, 53], "aris": [3, 9, 13, 17, 30, 67, 71], "through": [3, 4, 12, 17, 24, 28, 29, 30, 32, 34, 35, 36, 37, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 72, 73, 74], "prime": [3, 17, 29, 34, 57], "space": [3, 17, 29, 52, 53, 57, 59, 66, 71, 74, 75], "rewrite_strat": [3, 17], "rule": [3, 4, 5, 11, 12, 13, 14, 17, 24, 25, 29, 32, 33, 35, 36, 37, 39, 41, 42, 44, 46, 51, 53, 54, 55, 58, 59, 60, 62, 66, 67, 77], "slow": [3, 11, 17, 53, 54, 55], "down": [3, 14, 24, 25, 45, 51, 52, 54, 55, 57, 59], "wherea": [3, 17, 29, 54, 55, 57, 58, 62, 74], "opaqu": [3, 6, 8, 9, 14, 17, 24, 25, 31, 32, 35, 38, 51, 57, 59, 60, 64, 66, 67, 71, 75], "caus": [3, 8, 12, 14, 17, 32, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 71, 75], "miss": [3, 5, 10, 13, 17, 24, 35, 43, 51, 52, 55, 57, 58, 62, 64, 71, 75], "configur": [3, 8, 17, 24, 25, 29, 40, 51, 52, 59, 64, 66, 73], "transpar": [3, 4, 6, 9, 14, 17, 24, 25, 31, 32, 35, 37, 41, 51, 54, 55, 57, 59, 60, 64, 66, 67, 75], "unif": [3, 10, 13, 17, 24, 25, 37, 40, 42, 43, 54, 60, 64, 71], "eauto": [3, 17, 25, 43, 54, 57, 60], "individu": [3, 17, 53, 55, 64, 67, 71], "double_f": 3, "unifi": [3, 12, 13, 14, 17, 34, 41, 42, 43, 54, 57, 58, 64, 66], "assert_succe": [3, 17, 25], "bottomup": 3, "hide": [3, 17, 25, 34, 41, 44, 57, 58, 66, 71], "side": [3, 10, 13, 14, 17, 24, 25, 27, 32, 34, 35, 38, 43, 52, 54, 55, 57, 58, 60, 62, 64, 67, 71], "behind": [3, 4, 17, 28, 34, 57], "assert_fail": [3, 17, 25], "disallow": [3, 12, 14, 17, 37, 51], "substitut": [3, 10, 11, 17, 24, 25, 26, 34, 38, 46, 51, 55, 57, 58, 64, 67, 71], "distinct": [3, 9, 13, 17, 26, 34, 42, 44, 46, 53, 54, 55, 57, 60, 64, 67, 71], "eq_refl": [3, 5, 9, 11, 12, 13, 14, 17, 27, 40, 64, 66, 67, 71], "resolv": [3, 9, 13, 14, 17, 35, 43, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71], "treat": [3, 9, 12, 13, 17, 29, 46, 53, 54, 57, 59, 60, 62, 64, 67, 71, 72], "lot": [3, 11, 17, 24, 52, 55], "tri": [3, 4, 5, 9, 13, 14, 17, 34, 35, 41, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 66, 67], "speed": [3, 13, 17, 24, 34, 64], "abbrevi": [3, 4, 5, 13, 14, 17, 24, 25, 27, 32, 35, 38, 59, 74], "typeclass_inst": [3, 13, 17, 60], "strat": 3, "rewstrategi": [3, 17], "conclus": [3, 11, 13, 17, 24, 28, 34, 54, 55, 57, 58, 60, 64, 66, 67, 71], "noth": [3, 17, 38, 41, 51, 54, 55, 57, 58, 60, 62, 64, 66, 67], "didn": [3, 17, 51, 53], "progress": [3, 17, 24, 25, 51, 52, 55, 60, 66, 77], "succeed": [3, 17, 54, 59, 72], "unabl": [3, 14, 34, 43, 46, 53, 57, 58, 59, 66, 67], "basic": [3, 9, 11, 17, 24, 25, 32, 33, 34, 35, 37, 40, 42, 44, 46, 51, 58, 59, 60, 63, 66, 67, 73], "db": [3, 17], "topdown": 3, "creat": [3, 8, 9, 13, 17, 24, 25, 29, 34, 38, 40, 42, 51, 52, 53, 54, 57, 58, 59, 64, 66, 67, 72, 75], "procedur": [3, 4, 11, 17, 24, 25, 54, 57, 60, 62, 64, 77], "programm": [3, 24, 25, 65], "visser": [3, 77], "et": [3, 24, 77], "al": [3, 57], "lv97": [3, 77], "vbt98": [3, 77], "core": [3, 13, 17, 24, 25, 27, 29, 41, 45, 51, 57, 59, 60, 62, 65, 71], "stratego": [3, 77], "transform": [3, 4, 11, 17, 29, 57, 58, 66, 67, 77], "languag": [3, 9, 11, 14, 26, 29, 36, 37, 39, 40, 41, 46, 53, 54, 63, 64, 65, 66, 74, 75, 77], "vis01": [3, 77], "rewstrategy1": [3, 17], "choic": [3, 17, 27, 34, 51, 52, 55, 62, 71, 75], "rewstrategy0": 3, "eval": [3, 5, 12, 14, 17, 24, 25, 29, 30, 31, 32, 35, 37, 42, 51, 52, 53, 55, 59], "red_expr": [3, 17, 32, 54, 64], "fold": [3, 17, 37, 57], "failur": [3, 8, 13, 14, 17, 24, 25, 46, 53, 55, 57, 59, 60, 62, 64, 71, 77], "catch": [3, 17, 25, 42, 46, 57], "zero": [3, 7, 11, 17, 26, 27, 37, 42, 46, 53, 54, 55, 58, 59, 60, 64], "nest": [3, 9, 17, 24, 25, 29, 32, 35, 38, 40, 54, 57, 58, 59, 64, 66, 71, 75], "andbc": [3, 57], "bottom": [3, 17, 37, 46, 52, 54, 55, 58, 64, 71], "top": [3, 8, 10, 12, 13, 14, 17, 24, 25, 29, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71, 73, 75], "oper": [3, 5, 9, 10, 11, 14, 17, 24, 25, 27, 32, 34, 36, 51, 52, 54, 55, 57, 60, 64, 66, 67, 71], "texttt": 3, "conceptu": [3, 34], "straightforward": [3, 55], "root": [3, 17, 25, 27, 46, 51], "iter": [3, 5, 13, 17, 25, 26, 28, 30, 71], "consider": [3, 9, 17, 37, 39, 46, 64, 67, 71], "stop": [3, 5, 12, 17, 24, 32, 38, 52, 54, 57, 71], "Their": [3, 17, 32, 34, 39, 55, 57, 59, 71], "mani": [3, 8, 11, 13, 14, 17, 24, 25, 27, 29, 33, 34, 35, 39, 42, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 73], "stronger": [3, 12, 17, 34], "interpret": [3, 5, 9, 11, 13, 17, 24, 25, 27, 29, 32, 34, 35, 41, 44, 51, 52, 53, 54, 55, 59, 75], "ssrbool": [3, 17, 57], "ssrmatch": [3, 17, 57], "scope": [3, 5, 11, 17, 24, 25, 27, 29, 32, 36, 38, 43, 45, 52, 54, 55, 57, 59, 60, 64, 66], "bool_scop": [3, 17, 41, 71], "abort": [3, 11, 17, 34, 42, 44, 54, 55, 57, 64, 66, 67], "amokran": [4, 24], "sa\u00efbi": [4, 24], "prover": [4, 5, 15, 17, 24, 26, 29, 31, 33, 52, 55, 59, 65, 73, 75, 76], "power": [4, 5, 11, 17, 24, 54, 57, 67, 71, 72], "our": [4, 5, 7, 11, 17, 24, 34, 35, 54], "determin": [4, 13, 17, 31, 34, 36, 40, 41, 43, 53, 54, 57, 58, 64, 66, 67, 71, 72, 75], "appropri": [4, 13, 14, 17, 29, 53, 55, 57, 59, 62, 64, 66, 67, 75], "sens": [4, 24, 26, 30, 54, 55, 57, 71], "subtyp": [4, 9, 14, 17, 25, 31, 35, 39, 77], "certain": [4, 11, 17, 24, 29, 44, 46, 51, 54, 57, 58, 59, 64, 67, 71], "categori": [4, 8, 13, 17, 35, 51, 59, 61, 74, 75], "biject": [4, 17], "morphism": [4, 11, 17, 25, 59, 71], "famili": [4, 14, 17, 24, 25, 34, 40, 54, 55, 63, 67, 71], "coercion_class": [4, 71], "user": [4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 17, 25, 29, 32, 33, 34, 35, 36, 37, 39, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76, 77], "sortclass": [4, 17, 57, 71], "funclass": [4, 17, 41, 71], "formal": [4, 6, 10, 17, 24, 25, 26, 29, 31, 32, 34, 37, 39, 41, 51, 55, 57, 67, 77], "don": [4, 10, 13, 14, 17, 28, 34, 35, 37, 46, 52, 53, 54, 57, 58, 60, 62, 64, 66], "confus": [4, 10, 13, 17, 24, 26, 29, 34, 44, 46, 52, 55, 57, 71], "target": [4, 11, 17, 25, 51, 58, 71], "x\u2081": 4, "a\u2081": 4, "x\u2096": 4, "a\u2096": 4, "v\u2081": 4, "v\u2099": [4, 55], "u\u2081": 4, "u\u2098": 4, "new": [4, 5, 6, 8, 10, 13, 14, 15, 25, 27, 29, 31, 32, 34, 36, 37, 39, 42, 43, 46, 51, 52, 54, 55, 58, 59, 60, 61, 64, 66, 67, 71, 72, 73, 75, 77], "ignor": [4, 13, 14, 17, 24, 29, 31, 34, 35, 44, 51, 52, 53, 54, 57, 58, 60, 64, 66, 71], "exactli": [4, 10, 11, 13, 17, 26, 27, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 66, 67, 71], "uniform": [4, 17, 24, 34, 40, 44, 54, 55], "recommend": [4, 8, 13, 14, 15, 17, 32, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 72, 74, 75], "guarante": [4, 14, 17, 51, 52, 53, 55], "spuriou": [4, 17, 57, 71], "coerc": [4, 41, 57, 60, 64], "t\u2081": 4, "t\u2099": 4, "toward": [4, 17, 53], "intuit": [4, 11, 17, 24, 29, 55, 58, 62], "synthes": [4, 17, 24, 27, 28, 42, 46, 77], "precis": [4, 8, 13, 17, 24, 26, 29, 31, 33, 34, 35, 37, 39, 46, 51, 57, 64, 71], "doesn": [4, 14, 17, 29, 31, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 66, 67, 71, 73], "look": [4, 8, 9, 11, 13, 14, 16, 17, 25, 51, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72, 75], "incom": [4, 17], "necessarili": [4, 46, 67, 72], "semi": [4, 11, 17], "lattic": 4, "forget": [4, 11, 37, 55, 59, 60, 67], "harder": [4, 17, 58], "There": [4, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 34, 37, 38, 39, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 75], "subclass": [4, 10, 13, 27, 39, 42, 59], "oldest": [4, 17], "notat": [4, 5, 9, 10, 11, 14, 24, 25, 26, 28, 29, 31, 33, 34, 35, 36, 37, 38, 40, 41, 45, 46, 51, 52, 53, 57, 58, 60, 64, 67, 73, 74, 75, 77], "f\u2081": 4, "f\u2096": 4, "ident_decl": [4, 9, 13, 28, 30, 32, 34, 37, 38, 40, 42, 59], "def_bodi": [4, 32, 38, 42], "unspecifi": [4, 14, 17, 43, 55, 62, 67], "ye": [4, 9, 11, 14, 17, 29, 34, 37, 42, 51, 53, 59, 67], "field": [4, 5, 7, 12, 13, 14, 17, 24, 25, 42, 51, 53, 55, 59, 61, 74], "nonuniform": [4, 17], "silenc": [4, 17, 24, 41, 46, 57, 62, 74], "18": [4, 13, 25, 57, 58, 59, 60, 64], "futur": [4, 9, 10, 13, 14, 17, 32, 41, 51, 52, 53, 57, 62, 66, 71, 77], "ambigu": [4, 17, 25, 46, 53, 57, 59, 60, 66, 71], "yield": [4, 11, 17, 24, 31, 46, 54, 55, 58, 67, 71], "f\u2099": 4, "report": [4, 8, 12, 17, 24, 29, 52, 54, 55, 59, 64, 72, 77], "definition": [4, 12, 17, 31, 32, 35, 37, 64], "circular": [4, 17, 57], "assumpt": [4, 10, 17, 24, 25, 26, 32, 33, 34, 35, 36, 44, 51, 52, 53, 54, 58, 59, 60, 66, 67, 77], "induct": [4, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 29, 30, 31, 32, 33, 35, 37, 41, 42, 44, 52, 54, 55, 57, 58, 59, 60, 62, 64, 65, 66, 73, 75, 77], "of_typ": [4, 17, 28], "src": [4, 53], "dest": [4, 17], "x\u2099": [4, 55], "t\u2098": 4, "word": [4, 14, 17, 30, 42, 51, 52, 53, 55, 58, 66], "context": [4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 29, 30, 31, 32, 34, 35, 38, 41, 43, 44, 51, 52, 59, 60, 62, 64, 66, 67, 71], "forc": [4, 8, 11, 17, 24, 34, 42, 44, 52, 53, 54, 57, 60, 64, 66, 67, 71], "updat": [4, 8, 15, 17, 24, 36, 37, 46, 52, 53, 58, 59, 67, 71], "last": [4, 5, 9, 17, 24, 32, 34, 35, 37, 38, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 72], "record_definit": [4, 13, 30, 34, 37], "redefin": [4, 17, 54, 55, 57, 66, 71, 75], "forgotten": 4, "atom": [4, 5, 8, 14, 17, 26, 60, 62, 67, 71], "bool_in_nat": 4, "unset": [4, 5, 12, 14, 17, 24, 25, 34, 35, 37, 38, 42, 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28, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 43, 46, 51, 52, 53, 58, 59, 60, 61, 62, 64, 66, 75, 77], "cach": [5, 12, 17], "rerun": 5, "script": [5, 8, 17, 24, 25, 35, 42, 43, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 73], "info": [5, 17, 54, 60], "dump": [5, 17, 24, 51, 75], "arith": [5, 11, 17, 24, 53, 59, 60, 72], "profil": [5, 17, 25, 53, 59, 64], "statist": [5, 17, 66], "pivot": 5, "detect": [5, 8, 17, 25, 41, 44, 52, 53, 57, 66], "ineffici": [5, 17, 24, 57], "formula": [5, 7, 26, 57, 58, 62, 77], "numer": [5, 11, 17, 24, 27, 29, 59, 71], "subtract": [5, 57], "exponenti": [5, 17, 29], "implb": [5, 17, 27], "negb": [5, 13, 27, 62, 71], "comparison": [5, 14, 17, 24, 42], "gtb": 5, "ltb": [5, 17, 59], "geb": 5, "leb": [5, 9, 17, 57, 59], "rather": [5, 11, 13, 17, 24, 29, 30, 34, 35, 53, 54, 55, 57, 58, 59, 64, 67, 71], "resp": [5, 17, 34, 36, 46, 57], "rang": [5, 17, 26, 29, 52, 55, 58, 71], "r0": [5, 17], "rmult": [5, 11], "rplu": 5, "rminu": 5, "izr": [5, 17, 71], "q2r": [5, 57], 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26, 32, 34, 44, 55, 57, 58, 66, 71], "mutual": [9, 17, 24, 25, 29, 30, 32, 37, 54, 55, 67, 71, 72], "fixannot": [9, 34, 72], "measur": [9, 17, 34, 54, 72], "div2_obligation_1": 9, "heq_n": 9, "proj1_sig": [9, 17, 46, 57], "div3": 9, "p0": [9, 31, 67, 72], "heq_n0": 9, "wildcard": [9, 13, 25, 28], "program_branch_0": [9, 13], "div2_obligation_2": 9, "program_branch_1": [9, 13], "div2_obligation_3": 9, "well_found": [9, 27], "mr": 9, "recarg": 9, "pars": [9, 17, 25, 27, 29, 41, 42, 46, 51, 54, 57, 59, 60, 74, 75], "explicit": [9, 10, 13, 17, 24, 25, 28, 31, 34, 37, 39, 41, 46, 55, 58, 60, 64, 66, 67, 71], "prototyp": [9, 17, 24], "guarded": [9, 66], "rid": [9, 17, 54, 57], "unsolv": [9, 17, 43, 66], "afterward": [9, 17, 41, 44, 52, 57, 60, 66, 67], "similarli": [9, 10, 13, 14, 17, 26, 28, 36, 38, 42, 44, 46, 52, 53, 54, 55, 57, 62, 64, 71, 75], "persist": [9, 17, 24, 29, 35, 36, 38, 64, 77], "reappli": 9, "addition": [9, 13, 14, 17, 34, 46, 53, 54, 58, 59, 64, 66], "solver": [9, 17, 25, 65], "fed": [9, 17, 55], "program_simpl": 9, "wrap": [9, 12, 13, 17, 36, 38, 53], "reject": [9, 17, 26, 34, 57, 64, 67, 71], "wellfound": [9, 17], "drawback": [9, 17, 67, 71], "underli": [9, 11, 17, 24, 26, 54, 57, 67, 71], "isn": [9, 10, 17, 28, 52, 57, 58, 60, 64, 66, 67], "anymor": [9, 17, 55, 59], "highli": [10, 43, 60, 63], "mistyp": 10, "anomali": [10, 17, 24, 59], "unlik": [10, 13, 17, 24, 30, 39, 52, 54, 55, 57, 58, 59, 60, 64, 67, 71], "pplu": 10, "rewrite_rul": 10, "univ_decl": [10, 14, 28, 35], "rw_pattern": 10, "namespac": [10, 14, 17, 35, 42, 53, 59], "against": [10, 13, 17, 44, 54, 57, 58, 59, 60, 62], "align": [10, 59, 71], "collect": [10, 17, 27, 51, 53, 60, 66, 72], "pplus_rewrit": 10, "rigid": [10, 13, 14, 17, 24, 60, 72], "enough": [10, 11, 14, 17, 34, 44, 57, 58, 67, 71], "discrimine": [10, 12, 46], "furthermor": [10, 17, 24, 25, 26, 29, 31, 33, 34, 51, 52, 55, 57, 63, 66], "grammar": [10, 17, 25, 28, 29, 54, 55, 57, 58, 62, 71], "rw_head_pattern": 10, "elimin": [10, 12, 14, 17, 24, 25, 26, 27, 30, 31, 34, 35, 37, 40, 54, 55, 58, 67, 71, 72, 77], "rw_pattern_arg": 10, "univ_annot": [10, 14, 29, 37], "bear": 10, "raise_nat": 10, "93": [10, 53], "118": 10, "break": [10, 12, 17, 28, 29, 30, 52, 57, 59, 64, 66, 71, 73, 74], "subject": [10, 17, 25, 26, 30, 31, 50, 51, 72], "22": [10, 12, 54, 57], "u0": [10, 14, 46], "sr": 10, "id_rew": 10, "qualiti": [10, 14, 17], "u1": [10, 13, 14, 17, 57], "u2": 10, "superfici": 10, "typed": [10, 55], "entir": [10, 13, 17, 24, 25, 31, 33, 34, 41, 44, 52, 53, 57, 60, 64, 66, 71], "neither": [10, 14, 17, 46, 54, 55, 57, 64, 67], "nor": [10, 11, 17, 26, 34, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71], "plan": [10, 17, 25, 53, 55, 72], "triangl": [10, 52], "criterion": [10, 17, 33, 34, 60], "ctw21": [10, 77], "expans": [10, 12, 13, 17, 25, 34, 53, 55, 57, 64, 71], "contract": [10, 17, 24, 31, 34, 54, 62, 71, 77], "integr": [10, 11, 17, 24, 25, 51, 52, 57, 61, 73], "upper": [10, 14, 17, 39, 44, 52], "layer": 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"yx": 11, "25": [11, 44], "zx": 11, "28x": 11, "24": [11, 17, 44, 53, 77], "xz": 11, "xxy": 11, "yz": 11, "zy": 11, "frequent": [11, 17, 25, 53, 57, 66, 67, 71], "rare": [11, 17, 66], "gallina": [11, 17, 25, 41, 66, 75], "mult": [11, 17, 24, 26, 27, 57], "mapsto": 11, "v_2": 11, "paragraph": [11, 27, 35, 40, 57, 75], "polynom": 11, "common": [11, 14, 17, 25, 26, 27, 29, 31, 32, 34, 42, 55, 57, 60, 67, 71, 74], "predefin": [11, 24, 25, 51, 52, 66], "arithr": 11, "zarithr": 11, "narithr": [11, 17], "narith": [11, 17], "zifi": [11, 17, 25, 29, 54, 55, 57, 60], "micromega": [11, 17, 25, 29, 54, 55, 57, 60, 61, 66], "btauto": [11, 17, 29, 57, 62], "30": [11, 17, 24, 27, 71], "Not": [11, 17, 32, 44, 51, 52, 54, 55, 58, 64, 67, 72, 75, 77], "ring_simplifi": [11, 17], "invok": [11, 17, 34, 51, 53, 60, 66, 67, 75], "lookup": 11, "ltac_expr0": [11, 54], "protect": [11, 17, 30, 57], "fv": 11, "ring_theori": 11, "semi_ring_theori": 11, "mk_rt": 11, "radd_0_l": 11, "radd_sym": 11, "radd_assoc": 11, "rmul_1_l": 11, "rmul_sym": 11, "rmul_assoc": 11, "rdistr_l": 11, "rsub_def": 11, "ropp_def": 11, "mk_srt": 11, "sradd_0_l": 11, "sradd_sym": 11, "sradd_assoc": 11, "srmul_1_l": 11, "srmul_0_l": 11, "srmul_sym": 11, "srmul_assoc": 11, "srdistr_l": 11, "surject": [11, 37], "ring_morph": 11, "mkmorph": 11, "morph0": 11, "morph1": 11, "ci": [11, 17, 53, 57, 73], "morph_add": 11, "morph_sub": 11, "morph_mul": 11, "morph_opp": 11, "morph_eq": 11, "semi_morph": 11, "mkrmorph": 11, "smorph0": 11, "smorph1": 11, "smorph_add": 11, "smorph_mul": 11, "smorph_eq": 11, "c0": [11, 59], "cpow": 11, "cp_phi": 11, "rpow": 11, "power_theori": 11, "mkpow_th": 11, "rpow_pow_n": 11, "pow_n": 11, "ring_mod": 11, "preprocess": [11, 17], "postprocess": 11, "tailor": 11, "setoid_theori": [11, 17], "ring_eq_ext": 11, "sring_eq_ext": 11, "initialr": 11, "notconst": 11, "nontrivi": [11, 17, 46, 51, 57], "preliminari": 11, "better": [11, 14, 17, 24, 51, 52, 53, 57, 59, 60, 64, 67, 71, 72], "undo": [11, 17, 52, 54, 58, 59, 66], "preprocessor": [11, 24], "expon": [11, 17, 29, 71], "realfield": 11, "minu": [11, 17, 29, 41, 72], "get_sign": 11, "euclidean": [11, 17, 24, 25, 57], "div_theori": 11, "7x": 11, "good": [11, 17, 53, 54, 55, 57, 66], "philosoph": 11, "calculu": [11, 14, 17, 24, 25, 27, 29, 31, 33, 34, 35, 37, 46, 54, 57, 58, 62, 64, 66, 67, 71, 77], "strongli": [11, 15, 17, 34, 35, 44, 53, 54, 57, 59], "advis": [11, 17, 24, 25, 28, 29, 30, 54, 60], "ring_polynom": 11, "pexpr": 11, "pesub": 11, "peopp": 11, "pepow": 11, "pol": 11, "pc": 11, "pinj": 11, "px": [11, 24, 57], "v_i": [11, 31], "big": [11, 14, 17, 57, 59, 71], "pphi_dev_ok": 11, "pe": 11, "npe": 11, "piec": [11, 42, 43, 53, 55, 57], "summar": [11, 51, 57, 66], "diagram": 11, "chosen": [11, 34, 54, 55, 57, 58, 66, 71], "denomin": [11, 17, 37, 71], "neq": 11, "broken": [11, 17, 71], "proven": [11, 17, 52, 58, 64, 66, 67], "rbase": [11, 17, 24], "qcanon": 11, "r_scope": [11, 71], "auto": [11, 13, 14, 17, 24, 29, 34, 41, 44, 51, 52, 54, 57, 58, 59, 60, 62, 66, 67, 72], "h1": [11, 17, 34, 43, 54, 55, 57, 58, 62, 66, 67], "f_1": [11, 34], "f_2": [11, 34], "n_1": [11, 26], "d_1": 11, "n_2": 11, "d_2": 11, "cancel": [11, 38, 41, 57, 66], "field_theori": 11, "semi_field_theori": 11, "semifield": 11, "mk_field": 11, "f_r": 11, "ro": 11, "ri": [11, 17, 51], "radd": 11, "rmul": 11, "rsub": 11, "ropp": 11, "req": 11, "f_1_neq_0": 11, "fdiv_def": 11, "finv_l": 11, "mk_sfield": 11, "sf_sr": 11, "sf_1_neq_0": 11, "sfdiv_def": 11, "sfinv_l": 11, "mk_linear": 11, "num": [11, 17], "denum": 11, "field_mod": 11, "samuel": [11, 17, 24], "boutin": [11, 24, 77], "acdsimpl": 11, "zmult_comm": 11, "eq_ind_r": [11, 27], "z0": [11, 17, 71], "mul_comm": [11, 59], "hundr": [11, 64], "rewrot": [11, 17], "bou97": [11, 77], "later": [11, 17, 25, 31, 32, 43, 44, 50, 53, 55, 57, 58, 66, 67, 71], "patrick": [11, 24], "loiseleur": [11, 24], "interleav": [11, 17, 58], "he": [11, 17, 24, 57], "wrote": [11, 17, 24], "larg": [11, 14, 17, 25, 26, 29, 34, 35, 39, 52, 53, 54, 57, 61, 64, 66, 67, 71, 75], "motiv": [11, 17, 55, 57, 77], "34": [11, 53, 71, 77], "12": [11, 25, 29, 53, 54, 57, 58, 60, 71], "46": [11, 77], "ominu": 11, "v_3": 11, "far": [11, 24, 46, 52, 57, 66, 71], "faster": [11, 17, 24, 51, 58, 59, 62, 64], "free": [11, 17, 24, 26, 34, 44, 52, 54, 55, 57, 58, 62, 64, 71, 75, 77], "difficult": [11, 17, 29, 55, 72], "ultim": 11, "answer": [11, 46, 53], "intens": [11, 17, 24, 64], "classic": [11, 17, 24, 25, 34, 51, 55, 57, 66], "tautologi": [11, 17, 24, 54, 62], "backtrack": [11, 13, 17, 24, 25, 52, 58, 60, 67], "clearli": [11, 24, 71, 74], "significantli": [11, 17, 24, 57, 66], "idea": [11, 17, 34, 42, 54], "suggest": [11, 17, 24, 25, 34, 51, 52, 53, 57, 66], "werner": [11, 17, 24, 77], "coupl": [11, 17, 46, 53, 57, 75], "tool": [11, 14, 25, 29, 51, 52, 53, 54, 57, 59, 66, 71, 72, 75, 77], "model": [11, 17, 24, 57, 77], "trace": [11, 13, 17, 25, 32, 51, 53, 57, 58, 59], "replai": [11, 57], "footnot": [11, 38, 57, 71], "bytecod": [12, 17, 59, 64], "gcst19": [12, 39, 77], "strictprop": [12, 17], "startup": [12, 51, 53, 60], "purpos": [12, 14, 17, 24, 27, 34, 35, 42, 51, 52, 54, 55, 57, 64, 66, 67, 71], "hx": [12, 57, 58], "\u03b7": [12, 17, 25, 30], "tractabl": 12, "cumul": [12, 13, 17, 24, 25, 26, 29, 30, 31, 34, 37, 40, 71], "forbidden": [12, 17, 24, 25], "relev": [12, 17, 24, 28, 30, 32, 34, 40, 46, 51, 53, 54, 57, 58, 64, 66, 71], "world": [12, 17, 24, 55, 57, 77], "escap": [12, 17, 25, 51, 53, 71], "box": [12, 17, 29, 54, 71], "box_rect": 12, "box_ind": 12, "box_rec": 12, "box_sind": 12, "box_irrelev": 12, "squash": [12, 14, 17], "isquash": 12, "isquash_sind": 12, "Or": [12, 17, 41, 53, 58, 71], "sempti": 12, "sempty_rect": 12, "sempty_ind": 12, "sempty_rec": 12, "sempty_sind": 12, "foo_sind": 12, "foo_ind": [12, 17, 57], "sprod": 12, "sfst": 12, "ssnd": 12, "extension": [12, 17, 27, 30, 57], "rbox": 12, "runbox": 12, "ssig": 12, "spr1": 12, "spr2": 12, "trivial": [12, 13, 14, 17, 34, 46, 53, 54, 55, 57, 58, 60, 66, 67], "sunit": 12, "stt": 12, "sunit_rect": 12, "is_tru": [12, 57], "is_true_eq_tru": 12, "eq_true_is_tru": 12, "seq": [12, 13, 30, 46, 55, 57, 67], "srefl": [12, 46], "seq_rect": [12, 46], "seq_ind": [12, 46], "seq_rec": [12, 46], "seq_sind": [12, 46], "hidden_arrow": 12, "stuck": [12, 13, 17], "Such": [12, 30, 35, 42, 44, 53, 55, 59, 71, 75], "around": [12, 17, 24, 29, 46, 52, 53, 55, 57, 58, 59, 64, 67, 71, 75], "ac19": [12, 77], "all_eq": 12, "transport": [12, 17], "timeout": [12, 17, 25, 59, 64], "infinit": [12, 30, 34, 39], "binder": [12, 13, 17, 24, 25, 30, 32, 34, 37, 38, 40, 52, 54, 55, 58, 59, 63, 64, 67, 75], "bug": [12, 17, 24, 52, 54, 66], "incorrectli": [12, 17, 55], "leav": [12, 13, 17, 32, 35, 52, 54, 57, 58, 59, 60, 64, 66, 67], "silent": [12, 14, 17, 24, 29, 51, 53, 59, 66, 72], "repair": [12, 17], "affect": [12, 17, 24, 29, 34, 41, 44, 46, 53, 54, 55, 57, 59, 60, 64, 66, 71], "programmat": 13, "quick": [13, 17, 24, 27, 54, 57, 66, 74], "paper": [13, 24, 42, 54, 57, 72, 77], "so08": [13, 77], "literatur": [13, 34], "class": [13, 17, 24, 25, 27, 28, 35, 39, 42, 44, 57, 59, 60, 62, 64], "classnam": 13, "p1": [13, 17, 37, 57, 67], "pn": [13, 17, 57], "f1": [13, 17, 41, 51, 57, 71], "fm": 13, "um": [13, 57], "instancenam": 13, "qm": 13, "tm": 13, "pi": [13, 17, 52], "ti": [13, 57], "fi": 13, "rise": [13, 24], "ll": [13, 17, 34, 52, 53], "eqdec": [13, 38, 60], "eqb_leibniz": 13, "unit_eqdec": 13, "member": [13, 42, 55], "oblig": [13, 17, 25, 37, 57, 62, 72], "eq_bool": 13, "discrimin": [13, 17, 24, 54, 57, 58, 59, 60, 62, 64, 66], "richer": [13, 25], "facil": [13, 17, 24, 52, 54, 55, 57, 59], "neqb": 13, "generaliz": [13, 17, 44], "neqb_implicit": 13, "prod_eqb": 13, "ea": 13, "eb": 13, "la": [13, 17, 24, 52, 55, 77], "ra": 13, "lb": 13, "rb": 13, "prod_eqb_obligation_1": 13, "eas": [13, 17, 37, 53, 55, 57, 58, 66], "eqdec_def": 13, "option_eqb": 13, "program_branch_2": 13, "y1": [13, 27, 42, 46, 59], "option_eqb_obligation_1": 13, "option_eqb_obligation_2": 13, "option_eqb_obligation_3": 13, "type_scop": [13, 14, 17, 25, 34, 44, 46, 52, 54, 58, 66, 67], "1182": 13, "1383": 13, "redeclar": [13, 17], "ord": [13, 57], "le_eqb": 13, "compon": [13, 17, 24, 25, 30, 33, 34, 35, 37, 42, 51, 52, 53, 54, 57, 59, 60, 71], "preorder": [13, 57, 59], "preorder_reflex": [13, 59], "preorder_transit": 13, "easili": [13, 17, 53, 57, 72], "useless": [13, 14, 17, 24, 25, 37, 46, 60], "templat": [13, 17, 25, 30, 37, 40, 66], "privat": [13, 14, 17, 25, 29, 30, 34, 37], "queri": [13, 17, 25], "hint_info": [13, 60], "field_val": [13, 37], "prioriti": [13, 17, 37, 46, 52, 57, 59, 66, 71], "one_pattern": [13, 59, 60], "trigger": [13, 17, 25, 29, 44, 54, 55, 57, 60, 71], "bf": [13, 17], "df": [13, 17], "best": [13, 17, 53, 54, 57, 60, 71], "effort": [13, 17, 24, 63, 74], "engin": [13, 17, 24, 33, 43, 55, 57, 58, 64, 77], "multi": [13, 17, 25, 52, 54, 55, 66, 75], "analys": 13, "hintdb": [13, 17, 55, 60], "full": [13, 14, 17, 24, 25, 30, 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71, "uintdecim": 71, "uinthexadecim": 71, "to_uint_dec": 71, "to_uint": 71, "radix3_scop": 71, "pos_neg_int63": 71, "int_wrapp": 71, "int_wrap": 71, "iempti": 71, "iunit": 71, "isum": 71, "i2": 71, "to_num_uint": 71, "nset": 71, "fin_scop": 71, "id_str": 71, "abc": 71, "ltac_production_item": 71, "_list_sep": 71, "destruct_with_eqn": 71, "smart_glob": 71, "tacn": 71, "_list": 71, "ne_": 71, "_complet": 72, "_correct": 72, "_equat": 72, "recdef": 72, "sf": 72, "_tcc": 72, "_termin": 72, "antonia": 72, "balaa": 72, "barth": 72, "pichardi": [72, 77], "vlad": 72, "rusu": 72, "plus_equ": 72, "plus_rect": 72, "plus_rec": 72, "r_plus_correct": 72, "r_plus_complet": 72, "minus_ind": 72, "sub_equ": 72, "func_scheme_def": 72, "div2_ind": 72, "div2_equ": 72, "div2_l": 72, "tree_size_equ": 72, "tree_size_rect": 72, "tree_size_ind": 72, "tree_size_rec": 72, "forest_size_equ": 72, "forest_size_rect": 72, "forest_size_ind": 72, "forest_size_rec": 72, "r_tree_size_correct": 72, "r_forest_size_correct": 72, "r_tree_size_complet": 72, "r_forest_size_complet": 72, "tree_size_ind2": 72, "forest_size_ind2": 72, "onlin": 73, "nearli": 73, "hyphen": 74, "estim": 74, "zim19": [74, 77], "trim": 74, "mylib": 74, "javadoc": 75, "ocamldoc": 75, "todd": 75, "coram": 75, "aft": 75, "preformat": 75, "overwritten": 75, "lex": 75, "ensuremath": 75, "asterisk": 75, "dash": 75, "mistaken": 75, "_emphas": 75, "text_": 75, "lastli": 75, "sheet": 75, "dvi": 75, "postscript": 75, "texmac": 75, "meaningless": 75, "trailer": 75, "preambl": 75, "quiet": 75, "domin": 75, "tableofcont": 75, "subtitl": 75, "modulenam": 75, "latin1": 75, "8859": 75, "inputenc": 75, "utf8x": 75, "ctan": 75, "textgreek": 75, "stmaryrd": 75, "declareunicodecharact": 75, "usepackag": 75, "xcolor": 75, "coqdockw": 75, "coqdocid": 75, "san": 75, "serif": 75, "slant": 75, "renewcommand": 75, "textsl": 75, "coqdocmodul": 75, "abel": 77, "gothenburg": 77, "north": 77, "holland": 77, "1981": 77, "mathieu": 77, 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"benaissa": 77, "tolmach": 77, "th\u00e8se": 77, "doctorat": 77, "collabor": 77, "tel": 77, "ouvert": 77, "02451322": 77}, "objects": {""All" is a predefined collection containing all variables": [[66, 0, 1, "coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined", " It can't be redefined"]], "": [[71, 0, 1, "coq:exn.'via'-and-'abstract'-cannot-be-used-together", "'via' and 'abstract' cannot be used together"], [54, 1, 1, "coq:tacn.+-(backtracking-branching)", "+ (backtracking branching)"], [57, 1, 1, "coq:tacn.=>", "=>"], [66, 3, 1, "coq:cmd.Abort", "Abort"], [59, 3, 1, "coq:cmd.About", "About"], [71, 2, 1, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry", "Activation of abbreviations does not expect mentioning a grammar entry"], [71, 2, 1, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope", "Activation of abbreviations does not expect mentioning a scope"], [29, 3, 1, "coq:cmd.Add", "Add"], [11, 3, 1, "coq:cmd.Add-Field", "Add Field"], [3, 3, 1, "coq:cmd.Add-Morphism", "Add Morphism"], [3, 3, 1, "coq:cmd.Add-Parametric-Morphism", "Add Parametric Morphism"], [3, 3, 1, "coq:cmd.Add-Parametric-Relation", "Add Parametric Relation"], [3, 3, 1, "coq:cmd.Add-Parametric-Setoid", "Add Parametric Setoid"], [3, 3, 1, "coq:cmd.Add-Relation", "Add Relation"], [11, 3, 1, "coq:cmd.Add-Ring", "Add Ring"], [3, 3, 1, "coq:cmd.Add-Setoid", "Add Setoid"], [5, 3, 1, "coq:cmd.Add-Zify", "Add Zify"], [9, 3, 1, "coq:cmd.Admit-Obligations", "Admit Obligations"], [66, 3, 1, "coq:cmd.Admitted", "Admitted"], [12, 4, 1, "coq:flag.Allow-StrictProp", "Allow StrictProp"], [44, 0, 1, "coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once", "Argument at position \u2018natural\u2019 is mentioned more than once"], [54, 0, 1, "coq:exn.Argument-of-match-does-not-evaluate-to-a-term", "Argument of match does not evaluate to a term"], [41, 3, 1, "coq:cmd.Arguments", "Arguments"], [44, 0, 1, "coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode", "Arguments given by name or position not supported in explicit mode"], [11, 0, 1, "coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type", "Arguments of ring_simplify do not have all the same type"], [41, 0, 1, "coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed", "Arguments of section variables such as \u2018name\u2019 may not be renamed"], [46, 4, 1, "coq:flag.Asymmetric-Patterns", "Asymmetric Patterns"], [66, 0, 1, "coq:exn.Attempt-to-save-an-incomplete-proof", "Attempt to save an incomplete proof"], [29, 3, 1, "coq:cmd.Attributes", "Attributes"], [34, 4, 1, "coq:flag.Auto-Template-Polymorphism", "Auto Template Polymorphism"], [34, 2, 1, "coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic", "Automatically declaring \u2018ident\u2019 as template polymorphic"], [28, 3, 1, "coq:cmd.Axiom", "Axiom"], [28, 3, 1, "coq:cmd.Axioms", "Axioms"], [59, 3, 1, "coq:cmd.Back", "Back"], [59, 3, 1, "coq:cmd.BackTo", "BackTo"], [11, 0, 1, "coq:exn.Bad-lemma-for-decidability-of-equality", "Bad lemma for decidability of equality"], [59, 0, 1, "coq:exn.Bad-magic-number", "Bad magic number"], [64, 0, 1, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019", "Bad occurrence number of \u2018qualid\u2019"], [12, 2, 1, "coq:warn.Bad-relevance", "Bad relevance"], [11, 0, 1, "coq:exn.Bad-ring-structure", "Bad ring structure"], [71, 3, 1, "coq:cmd.Bind-Scope", "Bind Scope"], [67, 4, 1, "coq:flag.Boolean-Equality-Schemes", "Boolean Equality Schemes"], [5, 5, 1, "coq:thm.Bound-on-the-ceiling-function", "Bound on the ceiling function"], [66, 0, 1, "coq:exn.Brackets-do-not-support-multi-goal-selectors", "Brackets do not support multi-goal selectors"], [66, 6, 1, "coq:opt.Bullet-Behavior", "Bullet Behavior"], [72, 2, 1, "coq:warn.Cannot-build-functional-inversion-principle", "Cannot build functional inversion principle"], [58, 0, 1, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion", "Cannot change \u2018ident\u2019, it is used in conclusion"], [58, 0, 1, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019", "Cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019"], [60, 0, 1, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference", "Cannot coerce \u2018qualid\u2019 to an evaluable reference"], [72, 2, 1, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019", "Cannot define graph for \u2018ident\u2019"], [72, 2, 1, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019", "Cannot define principle(s) for \u2018ident\u2019"], [11, 0, 1, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019", "Cannot find a declared ring structure for equality \u2018term\u2019"], [11, 0, 1, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019", "Cannot find a declared ring structure over \u2018term\u2019"], [64, 0, 1, "coq:exn.Cannot-find-a-relation-to-rewrite", "Cannot find a relation to rewrite"], [64, 0, 1, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019", "Cannot find any non-recursive equality over \u2018ident\u2019"], [72, 0, 1, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019", "Cannot find induction information on \u2018qualid\u2019"], [72, 0, 1, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019", "Cannot find inversion information for hypothesis \u2018ident\u2019"], [59, 0, 1, "coq:exn.Cannot-find-library-foo-in-loadpath", "Cannot find library foo in loadpath"], [4, 0, 1, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019", "Cannot find the source class of \u2018qualid\u2019"], [4, 0, 1, "coq:exn.Cannot-find-the-target-class", "Cannot find the target class"], [35, 2, 1, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored", "Cannot import local constant, it will be ignored"], [71, 0, 1, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment", "Cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment"], [71, 0, 1, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this number as a value of type \u2018type\u2019"], [71, 0, 1, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this string as a value of type \u2018type\u2019"], [59, 0, 1, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019", "Cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019"], [62, 0, 1, "coq:exn.Cannot-recognize-a-boolean-equality", "Cannot recognize a boolean equality"], [67, 0, 1, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019", "Cannot recognize a statement based on \u2018reference\u2019"], [4, 0, 1, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019", "Cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019"], [64, 0, 1, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference", "Cannot turn [inductive|constructor] into an evaluable reference"], [72, 0, 1, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure", "Cannot use mutual definition with well-founded recursion or measure"], [42, 3, 1, "coq:cmd.Canonical-Structure", "Canonical Structure"], [59, 0, 1, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath", "Can\u2019t find file \u2018ident\u2019 on loadpath"], [67, 4, 1, "coq:flag.Case-Analysis-Schemes", "Case Analysis Schemes"], [5, 5, 1, "coq:thm.Case-split", "Case split"], [40, 0, 1, "coq:exn.Casts-are-not-supported-in-this-pattern", "Casts are not supported in this pattern"], [2, 3, 1, "coq:cmd.Cd", "Cd"], [59, 3, 1, "coq:cmd.Check", "Check"], [13, 3, 1, "coq:cmd.Class", "Class"], [71, 3, 1, "coq:cmd.Close-Scope", "Close Scope"], [30, 3, 1, "coq:cmd.CoFixpoint", "CoFixpoint"], [30, 3, 1, "coq:cmd.CoInductive", "CoInductive"], [4, 3, 1, "coq:cmd.Coercion", "Coercion"], [66, 3, 1, "coq:cmd.Collection", "Collection"], [67, 3, 1, "coq:cmd.Combined-Scheme", "Combined Scheme"], [29, 3, 1, "coq:cmd.Comments", "Comments"], [64, 3, 1, "coq:cmd.Compute", "Compute"], [54, 0, 1, "coq:exn.Condition-not-satisfied", "Condition not satisfied"], [28, 3, 1, "coq:cmd.Conjecture", "Conjecture"], [28, 3, 1, "coq:cmd.Conjectures", "Conjectures"], [14, 3, 1, "coq:cmd.Constraint", "Constraint"], [38, 3, 1, "coq:cmd.Context", "Context"], [44, 4, 1, "coq:flag.Contextual-Implicit", "Contextual Implicit"], [51, 4, 1, "coq:flag.Coqtop-Exit-On-Error", "Coqtop Exit On Error"], [32, 3, 1, "coq:cmd.Corollary", "Corollary"], [60, 3, 1, "coq:cmd.Create-HintDb", "Create HintDb"], [14, 7, 1, "coq:attr.Cumulative", "Cumulative"], [14, 4, 1, "coq:flag.Cumulativity-Weak-Constraints", "Cumulativity Weak Constraints"], [54, 3, 1, "coq:cmd.Debug", "Debug"], [59, 6, 1, "coq:opt.Debug", "Debug"], [60, 4, 1, "coq:flag.Debug-Auto", "Debug Auto"], [60, 4, 1, "coq:flag.Debug-Eauto", "Debug Eauto"], [57, 4, 1, "coq:flag.Debug-SsrMatching", "Debug SsrMatching"], [57, 4, 1, "coq:flag.Debug-Ssreflect", "Debug Ssreflect"], [60, 4, 1, "coq:flag.Debug-Trivial", "Debug Trivial"], [54, 0, 1, "coq:exn.Debug-mode-not-available-in-the-IDE", "Debug mode not available in the IDE"], [67, 4, 1, "coq:flag.Decidable-Equality-Schemes", "Decidable Equality Schemes"], [71, 3, 1, "coq:cmd.Declare-Custom-Entry", "Declare Custom Entry"], [64, 3, 1, "coq:cmd.Declare-Equivalent-Keys", "Declare Equivalent Keys"], [13, 3, 1, "coq:cmd.Declare-Instance", "Declare Instance"], [64, 3, 1, "coq:cmd.Declare-Left-Step", "Declare Left Step"], [59, 3, 1, "coq:cmd.Declare-ML-Module", "Declare ML Module"], [35, 3, 1, "coq:cmd.Declare-Module", "Declare Module"], [3, 3, 1, "coq:cmd.Declare-Morphism", "Declare Morphism"], [64, 3, 1, "coq:cmd.Declare-Reduction", "Declare Reduction"], [64, 3, 1, "coq:cmd.Declare-Right-Step", "Declare Right Step"], [71, 3, 1, "coq:cmd.Declare-Scope", "Declare Scope"], [60, 2, 1, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead", "Declaring arbitrary terms as hints is fragile and deprecated; it is recommended to declare a toplevel constant instead"], [58, 6, 1, "coq:opt.Default-Goal-Selector", "Default Goal Selector"], [66, 6, 1, "coq:opt.Default-Proof-Mode", "Default Proof Mode"], [66, 6, 1, "coq:opt.Default-Proof-Using", "Default Proof Using"], [59, 6, 1, "coq:opt.Default-Timeout", "Default Timeout"], [66, 3, 1, "coq:cmd.Defined", "Defined"], [32, 3, 1, "coq:cmd.Definition", "Definition"], [12, 4, 1, "coq:flag.Definitional-UIP", "Definitional UIP"], [71, 3, 1, "coq:cmd.Delimit-Scope", "Delimit Scope"], [34, 4, 1, "coq:flag.Dependent-Proposition-Eliminators", "Dependent Proposition Eliminators"], [6, 3, 1, "coq:cmd.Derive", "Derive"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion", "Derive Dependent Inversion"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion_clear", "Derive Dependent Inversion_clear"], [67, 3, 1, "coq:cmd.Derive-Inversion", "Derive Inversion"], [67, 3, 1, "coq:cmd.Derive-Inversion_clear", "Derive Inversion_clear"], [66, 6, 1, "coq:opt.Diffs", "Diffs"], [71, 3, 1, "coq:cmd.Disable-Notation", "Disable Notation"], [59, 3, 1, "coq:cmd.Drop", "Drop"], [5, 6, 1, "coq:opt.Dump-Arith", "Dump Arith"], [59, 0, 1, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the", "Dynlink error: execution of module initializers in the"], [46, 0, 1, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies", "Either there is a type incompatibility or the problem involves dependencies"], [67, 4, 1, "coq:flag.Elimination-Schemes", "Elimination Schemes"], [71, 3, 1, "coq:cmd.Enable-Notation", "Enable Notation"], [38, 3, 1, "coq:cmd.End", "End"], [71, 0, 1, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation", "End of quoted string not followed by a space in notation"], [64, 3, 1, "coq:cmd.Eval", "Eval"], [32, 3, 1, "coq:cmd.Example", "Example"], [13, 3, 1, "coq:cmd.Existing-Class", "Existing Class"], [13, 3, 1, "coq:cmd.Existing-Instance", "Existing Instance"], [13, 3, 1, "coq:cmd.Existing-Instances", "Existing Instances"], [35, 3, 1, "coq:cmd.Export", "Export"], [54, 0, 1, "coq:exn.Expression-does-not-evaluate-to-a-tactic", "Expression does not evaluate to a tactic"], [2, 3, 1, "coq:cmd.Extract-Callback", "Extract Callback"], [2, 0, 1, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction", "Extract Callback is supported only for OCaml extraction"], [2, 3, 1, "coq:cmd.Extract-Constant", "Extract Constant"], [2, 3, 1, "coq:cmd.Extract-Foreign-Constant", "Extract Foreign Constant"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction", "Extract Foreign Constant is supported only for OCaml extraction"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions", "Extract Foreign Constant is supported only for functions"], [2, 3, 1, "coq:cmd.Extract-Inductive", "Extract Inductive"], [2, 3, 1, "coq:cmd.Extract-Inlined-Constant", "Extract Inlined Constant"], [2, 3, 1, "coq:cmd.Extraction", "Extraction"], [2, 4, 1, "coq:flag.Extraction-AutoInline", "Extraction AutoInline"], [2, 3, 1, "coq:cmd.Extraction-Blacklist", "Extraction Blacklist"], [2, 4, 1, "coq:flag.Extraction-Conservative-Types", "Extraction Conservative Types"], [2, 6, 1, "coq:opt.Extraction-File-Comment", "Extraction File Comment"], [2, 6, 1, "coq:opt.Extraction-Flag", "Extraction Flag"], [2, 3, 1, "coq:cmd.Extraction-Implicit", "Extraction Implicit"], [2, 3, 1, "coq:cmd.Extraction-Inline", "Extraction Inline"], [2, 4, 1, "coq:flag.Extraction-KeepSingleton", "Extraction KeepSingleton"], [2, 3, 1, "coq:cmd.Extraction-Language", "Extraction Language"], [2, 3, 1, "coq:cmd.Extraction-Library", "Extraction Library"], [2, 3, 1, "coq:cmd.Extraction-NoInline", "Extraction NoInline"], [2, 4, 1, "coq:flag.Extraction-Optimize", "Extraction Optimize"], [2, 6, 1, "coq:opt.Extraction-Output-Directory", "Extraction Output Directory"], [2, 4, 1, "coq:flag.Extraction-SafeImplicits", "Extraction SafeImplicits"], [2, 3, 1, "coq:cmd.Extraction-TestCompile", "Extraction TestCompile"], [2, 4, 1, "coq:flag.Extraction-TypeExpand", "Extraction TypeExpand"], [32, 3, 1, "coq:cmd.Fact", "Fact"], [59, 3, 1, "coq:cmd.Fail", "Fail"], [54, 0, 1, "coq:exn.Failed-to-progress", "Failed to progress"], [59, 4, 1, "coq:flag.Fast-Name-Printing", "Fast Name Printing"], [59, 0, 1, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019", "File not found on loadpath: \u2018string\u2019"], [59, 0, 1, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs", "Files processed by Load cannot leave open proofs"], [9, 3, 1, "coq:cmd.Final-Obligation", "Final Obligation"], [62, 6, 1, "coq:opt.Firstorder-Depth", "Firstorder Depth"], [62, 6, 1, "coq:opt.Firstorder-Solver", "Firstorder Solver"], [34, 3, 1, "coq:cmd.Fixpoint", "Fixpoint"], [41, 0, 1, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019", "Flag 'rename' expected to rename \u2018name\u2019 into \u2018name\u2019"], [66, 3, 1, "coq:cmd.Focus", "Focus"], [46, 0, 1, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected", "Found a constructor of inductive type term while a constructor of term is expected"], [64, 0, 1, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause", "Found an "at" clause without "with" clause"], [71, 2, 1, "coq:warn.Found-no-matching-notation-to-enable-or-disable", "Found no matching notation to enable or disable"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal", "Found no subterm matching \u2018term\u2019 in the current goal"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019", "Found no subterm matching \u2018term\u2019 in \u2018ident\u2019"], [4, 0, 1, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019", "Found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019"], [59, 3, 1, "coq:cmd.From-\u2026-Dependency", "From \u2026 Dependency"], [59, 3, 1, "coq:cmd.From-\u2026-Require", "From \u2026 Require"], [4, 0, 1, "coq:exn.Funclass-cannot-be-a-source-class", "Funclass cannot be a source class"], [72, 3, 1, "coq:cmd.Function", "Function"], [72, 3, 1, "coq:cmd.Functional-Case", "Functional Case"], [72, 3, 1, "coq:cmd.Functional-Scheme", "Functional Scheme"], [44, 3, 1, "coq:cmd.Generalizable", "Generalizable"], [72, 3, 1, "coq:cmd.Generate-graph-for", "Generate graph for"], [66, 3, 1, "coq:cmd.Goal", "Goal"], [59, 4, 1, "coq:flag.Guard-Checking", "Guard Checking"], [66, 3, 1, "coq:cmd.Guarded", "Guarded"], [60, 3, 1, "coq:cmd.Hint-Constants", "Hint Constants"], [60, 3, 1, "coq:cmd.Hint-Constructors", "Hint Constructors"], [60, 3, 1, "coq:cmd.Hint-Cut", "Hint Cut"], [60, 3, 1, "coq:cmd.Hint-Extern", "Hint Extern"], [60, 3, 1, "coq:cmd.Hint-Immediate", "Hint Immediate"], [60, 3, 1, "coq:cmd.Hint-Mode", "Hint Mode"], [60, 3, 1, "coq:cmd.Hint-Opaque", "Hint Opaque"], [60, 3, 1, "coq:cmd.Hint-Projections", "Hint Projections"], [60, 3, 1, "coq:cmd.Hint-Resolve", "Hint Resolve"], [60, 3, 1, "coq:cmd.Hint-Rewrite", "Hint Rewrite"], [60, 3, 1, "coq:cmd.Hint-Transparent", "Hint Transparent"], [60, 3, 1, "coq:cmd.Hint-Unfold", "Hint Unfold"], [60, 3, 1, "coq:cmd.Hint-Variables", "Hint Variables"], [57, 3, 1, "coq:cmd.Hint-View-for", "Hint View for"], [57, 3, 1, "coq:cmd.Hint-View-for-apply", "Hint View for apply"], [57, 3, 1, "coq:cmd.Hint-View-for-move", "Hint View for move"], [28, 3, 1, "coq:cmd.Hypotheses", "Hypotheses"], [28, 3, 1, "coq:cmd.Hypothesis", "Hypothesis"], [72, 0, 1, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function", "Hypothesis \u2018ident\u2019 must contain at least one Function"], [66, 6, 1, "coq:opt.Hyps-Limit", "Hyps Limit"], [62, 0, 1, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality", "I don\u2019t know how to handle dependent equality"], [4, 3, 1, "coq:cmd.Identity-Coercion", "Identity Coercion"], [13, 2, 1, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class", "Ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class"], [44, 2, 1, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position", "Ignoring implicit binder declaration in unexpected position"], [9, 0, 1, "coq:exn.Ill-formed-recursive-definition", "Ill-formed recursive definition"], [34, 0, 1, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe", "Ill-formed template inductive declaration: not polymorphic on any universe"], [44, 4, 1, "coq:flag.Implicit-Arguments", "Implicit Arguments"], [44, 3, 1, "coq:cmd.Implicit-Type", "Implicit Type"], [44, 3, 1, "coq:cmd.Implicit-Types", "Implicit Types"], [35, 3, 1, "coq:cmd.Import", "Import"], [35, 3, 1, "coq:cmd.Include", "Include"], [35, 3, 1, "coq:cmd.Include-Type", "Include Type"], [57, 0, 1, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)", "Incorrect number of tactics (expected N tactics, was given M)"], [34, 3, 1, "coq:cmd.Inductive", "Inductive"], [71, 3, 1, "coq:cmd.Infix", "Infix"], [54, 3, 1, "coq:cmd.Info", "Info"], [60, 4, 1, "coq:flag.Info-Auto", "Info Auto"], [60, 4, 1, "coq:flag.Info-Eauto", "Info Eauto"], [54, 6, 1, "coq:opt.Info-Level", "Info Level"], [5, 4, 1, "coq:flag.Info-Micromega", "Info Micromega"], [60, 4, 1, "coq:flag.Info-Trivial", "Info Trivial"], [59, 3, 1, "coq:cmd.Inspect", "Inspect"], [13, 3, 1, "coq:cmd.Instance", "Instance"], [59, 3, 1, "coq:cmd.Instructions", "Instructions"], [62, 4, 1, "coq:flag.Intuition-Negation-Unfolding", "Intuition Negation Unfolding"], [59, 0, 1, "coq:exn.Invalid-backtrack", "Invalid backtrack"], [67, 8, 1, "coq:table.Keep-Equalities", "Keep Equalities"], [67, 4, 1, "coq:flag.Keep-Proof-Equalities", "Keep Proof Equalities"], [64, 4, 1, "coq:flag.Kernel-Term-Sharing", "Kernel Term Sharing"], [64, 4, 1, "coq:flag.Keyed-Unification", "Keyed Unification"], [38, 0, 1, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019", "Last block to end has name \u2018ident\u2019"], [32, 3, 1, "coq:cmd.Lemma", "Lemma"], [38, 3, 1, "coq:cmd.Let", "Let"], [38, 3, 1, "coq:cmd.Let-CoFixpoint", "Let CoFixpoint"], [38, 3, 1, "coq:cmd.Let-Fixpoint", "Let Fixpoint"], [5, 4, 1, "coq:flag.Lia-Cache", "Lia Cache"], [59, 3, 1, "coq:cmd.Load", "Load"], [59, 0, 1, "coq:exn.Load-is-not-supported-inside-proofs", "Load is not supported inside proofs"], [59, 3, 1, "coq:cmd.Locate", "Locate"], [59, 3, 1, "coq:cmd.Locate-File", "Locate File"], [59, 3, 1, "coq:cmd.Locate-Library", "Locate Library"], [59, 3, 1, "coq:cmd.Locate-Ltac", "Locate Ltac"], [59, 3, 1, "coq:cmd.Locate-Ltac2", "Locate Ltac2"], [59, 3, 1, "coq:cmd.Locate-Module", "Locate Module"], [59, 3, 1, "coq:cmd.Locate-Term", "Locate Term"], [60, 6, 1, "coq:opt.Loose-Hint-Behavior", "Loose Hint Behavior"], [54, 3, 1, "coq:cmd.Ltac", "Ltac"], [54, 4, 1, "coq:flag.Ltac-Backtrace", "Ltac Backtrace"], [54, 4, 1, "coq:flag.Ltac-Batch-Debug", "Ltac Batch Debug"], [54, 4, 1, "coq:flag.Ltac-Debug", "Ltac Debug"], [54, 4, 1, "coq:flag.Ltac-Profiling", "Ltac Profiling"], [55, 3, 1, "coq:cmd.Ltac2", "Ltac2"], [55, 4, 1, "coq:flag.Ltac2-Backtrace", "Ltac2 Backtrace"], [55, 3, 1, "coq:cmd.Ltac2-Check", "Ltac2 Check"], [55, 3, 1, "coq:cmd.Ltac2-Eval", "Ltac2 Eval"], [55, 3, 1, "coq:cmd.Ltac2-Globalize", "Ltac2 Globalize"], [55, 4, 1, "coq:flag.Ltac2-In-Ltac1-Profiling", "Ltac2 In Ltac1 Profiling"], [55, 3, 1, "coq:cmd.Ltac2-Notation", "Ltac2 Notation"], [55, 3, 1, "coq:cmd.Ltac2-Notation-(abbreviation)", "Ltac2 Notation (abbreviation)"], [55, 3, 1, "coq:cmd.Ltac2-Set", "Ltac2 Set"], [55, 3, 1, "coq:cmd.Ltac2-Type", "Ltac2 Type"], [55, 4, 1, "coq:flag.Ltac2-Typed-Notations", "Ltac2 Typed Notations"], [55, 3, 1, "coq:cmd.Ltac2-external", "Ltac2 external"], [44, 2, 1, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position", "Making shadowed name of implicit argument accessible by position"], [66, 4, 1, "coq:flag.Mangle-Names", "Mangle Names"], [66, 4, 1, "coq:flag.Mangle-Names-Light", "Mangle Names Light"], [66, 6, 1, "coq:opt.Mangle-Names-Prefix", "Mangle Names Prefix"], [44, 4, 1, "coq:flag.Maximal-Implicit-Insertion", "Maximal Implicit Insertion"], [71, 0, 1, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019", "Missing mapping for constructor \u2018qualid\u2019"], [35, 3, 1, "coq:cmd.Module", "Module"], [35, 3, 1, "coq:cmd.Module-Type", "Module Type"], [59, 0, 1, "coq:exn.Module/section-\u2018qualid\u2019-not-found", "Module/section \u2018qualid\u2019 not found"], [14, 7, 1, "coq:attr.Monomorphic", "Monomorphic"], [71, 0, 1, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier", "More than one interpretation bound to this notation, confirm with the "all" modifier"], [71, 0, 1, "coq:exn.Multiple-'via'-options", "Multiple 'via' options"], [71, 0, 1, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options", "Multiple 'warning after' or 'abstract after' options"], [64, 6, 1, "coq:opt.NativeCompute-Profile-Filename", "NativeCompute Profile Filename"], [64, 4, 1, "coq:flag.NativeCompute-Profiling", "NativeCompute Profiling"], [64, 4, 1, "coq:flag.NativeCompute-Timing", "NativeCompute Timing"], [66, 4, 1, "coq:flag.Nested-Proofs-Allowed", "Nested Proofs Allowed"], [66, 2, 1, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one", "New Collection definition of \u2018ident\u2019 shadows the previous one"], [9, 3, 1, "coq:cmd.Next-Obligation", "Next Obligation"], [5, 4, 1, "coq:flag.Nia-Cache", "Nia Cache"], [54, 0, 1, "coq:exn.No-applicable-tactic", "No applicable tactic"], [72, 0, 1, "coq:exn.No-argument-name-\u2018ident\u2019", "No argument name \u2018ident\u2019"], [54, 0, 1, "coq:exn.No-evars", "No evars"], [35, 0, 1, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019", "No field named \u2018ident\u2019 in \u2018qualid\u2019"], [66, 0, 1, "coq:exn.No-focused-proof", "No focused proof"], [66, 0, 1, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)", "No focused proof (No proof-editing in progress)"], [66, 0, 1, "coq:exn.No-focused-proof-to-restart", "No focused proof to restart"], [64, 0, 1, "coq:exn.No-head-constant-to-reduce", "No head constant to reduce"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match", "No matching clauses for match"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match-goal", "No matching clauses for match goal"], [71, 0, 1, "coq:exn.No-notation-provided", "No notation provided"], [67, 0, 1, "coq:exn.No-primitive-equality-found", "No primitive equality found"], [58, 0, 1, "coq:exn.No-product-even-after-head-reduction", "No product even after head-reduction"], [3, 0, 1, "coq:exn.No-progress-made", "No progress made"], [58, 0, 1, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction", "No quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction"], [58, 0, 1, "coq:exn.No-such-assumption", "No such assumption"], [58, 0, 1, "coq:exn.No-such-binder", "No such binder"], [58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)", "No such bound variable \u2018ident\u2019 (no bound variables at all in the expression)"], [66, 0, 1, "coq:exn.No-such-goal", "No such goal"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018ident\u2019)", "No such goal (\u2018ident\u2019)"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018natural\u2019)", "No such goal (\u2018natural\u2019)"], [58, 0, 1, "coq:exn.No-such-hypothesis:-\u2018ident\u2019", "No such hypothesis: \u2018ident\u2019"], [58, 0, 1, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction", "No \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction"], [46, 0, 1, "coq:exn.Non-exhaustive-pattern-matching", "Non exhaustive pattern matching"], [9, 0, 1, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition", "Non extensible universe declaration not supported with monomorphic Program Definition"], [34, 0, 1, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019", "Non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019"], [14, 7, 1, "coq:attr.NonCumulative", "NonCumulative"], [67, 4, 1, "coq:flag.Nonrecursive-Elimination-Schemes", "Nonrecursive Elimination Schemes"], [54, 0, 1, "coq:exn.Not-a-context-variable", "Not a context variable"], [67, 0, 1, "coq:exn.Not-a-discriminable-equality", "Not a discriminable equality"], [67, 0, 1, "coq:exn.Not-a-negated-primitive-equality", "Not a negated primitive equality"], [11, 0, 1, "coq:exn.Not-a-valid-ring-equation", "Not a valid ring equation"], [54, 0, 1, "coq:exn.Not-a-variable-or-hypothesis", "Not a variable or hypothesis"], [54, 0, 1, "coq:exn.Not-an-evar", "Not an evar"], [58, 0, 1, "coq:exn.Not-an-exact-proof", "Not an exact proof"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-1-constructor", "Not an inductive goal with 1 constructor"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-2-constructors", "Not an inductive goal with 2 constructors"], [67, 0, 1, "coq:exn.Not-an-inductive-product", "Not an inductive product"], [64, 0, 1, "coq:exn.Not-convertible", "Not convertible"], [67, 0, 1, "coq:exn.Not-enough-constructors", "Not enough constructors"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018ident\u2019"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018natural\u2019"], [54, 0, 1, "coq:exn.Not-equal", "Not equal"], [54, 0, 1, "coq:exn.Not-equal-(due-to-universes)", "Not equal (due to universes)"], [54, 0, 1, "coq:exn.Not-ground", "Not ground"], [72, 0, 1, "coq:exn.Not-the-right-number-of-induction-arguments", "Not the right number of induction arguments"], [58, 0, 1, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)", "Not the right number of missing arguments (expected \u2018natural\u2019)"], [71, 3, 1, "coq:cmd.Notation", "Notation"], [71, 3, 1, "coq:cmd.Notation-(abbreviation)", "Notation (abbreviation)"], [55, 0, 1, "coq:exn.Notation-levels-must-range-between-0-and-6", "Notation levels must range between 0 and 6"], [67, 0, 1, "coq:exn.Nothing-to-inject", "Nothing to inject"], [3, 0, 1, "coq:exn.Nothing-to-rewrite", "Nothing to rewrite"], [5, 4, 1, "coq:flag.Nra-Cache", "Nra Cache"], [71, 3, 1, "coq:cmd.Number-Notation", "Number Notation"], [9, 3, 1, "coq:cmd.Obligation", "Obligation"], [9, 3, 1, "coq:cmd.Obligation-Tactic", "Obligation Tactic"], [9, 3, 1, "coq:cmd.Obligations", "Obligations"], [64, 3, 1, "coq:cmd.Opaque", "Opaque"], [71, 3, 1, "coq:cmd.Open-Scope", "Open Scope"], [66, 3, 1, "coq:cmd.Optimize-Heap", "Optimize Heap"], [66, 3, 1, "coq:cmd.Optimize-Proof", "Optimize Proof"], [28, 3, 1, "coq:cmd.Parameter", "Parameter"], [28, 3, 1, "coq:cmd.Parameters", "Parameters"], [44, 4, 1, "coq:flag.Parsing-Explicit", "Parsing Explicit"], [14, 7, 1, "coq:attr.Polymorphic", "Polymorphic"], [14, 4, 1, "coq:flag.Polymorphic-Inductive-Cumulativity", "Polymorphic Inductive Cumulativity"], [14, 0, 1, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead", "Polymorphic universe constraints can only be declared inside sections, use Monomorphic Constraint instead"], [14, 0, 1, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead", "Polymorphic universes can only be declared inside sections, use Monomorphic Universe instead"], [59, 4, 1, "coq:flag.Positivity-Checking", "Positivity Checking"], [57, 3, 1, "coq:cmd.Prenex-Implicits", "Prenex Implicits"], [9, 3, 1, "coq:cmd.Preterm", "Preterm"], [59, 3, 1, "coq:cmd.Primitive", "Primitive"], [37, 4, 1, "coq:flag.Primitive-Projections", "Primitive Projections"], [59, 3, 1, "coq:cmd.Print", "Print"], [59, 3, 1, "coq:cmd.Print-All", "Print All"], [59, 3, 1, "coq:cmd.Print-All-Dependencies", "Print All Dependencies"], [59, 3, 1, "coq:cmd.Print-Assumptions", "Print Assumptions"], [42, 3, 1, "coq:cmd.Print-Canonical-Projections", "Print Canonical Projections"], [4, 3, 1, "coq:cmd.Print-Classes", "Print Classes"], [4, 3, 1, "coq:cmd.Print-Coercion-Paths", "Print Coercion Paths"], [4, 3, 1, "coq:cmd.Print-Coercions", "Print Coercions"], [71, 3, 1, "coq:cmd.Print-Custom-Grammar", "Print Custom Grammar"], [66, 3, 1, "coq:cmd.Print-Debug-GC", "Print Debug GC"], [64, 3, 1, "coq:cmd.Print-Equivalent-Keys", "Print Equivalent Keys"], [2, 3, 1, "coq:cmd.Print-Extraction-Blacklist", "Print Extraction Blacklist"], [2, 3, 1, "coq:cmd.Print-Extraction-Callback", "Print Extraction Callback"], [2, 3, 1, "coq:cmd.Print-Extraction-Foreign", "Print Extraction Foreign"], [2, 3, 1, "coq:cmd.Print-Extraction-Inline", "Print Extraction Inline"], [11, 3, 1, "coq:cmd.Print-Fields", "Print Fields"], [62, 3, 1, "coq:cmd.Print-Firstorder-Solver", "Print Firstorder Solver"], [71, 3, 1, "coq:cmd.Print-Grammar", "Print Grammar"], [4, 3, 1, "coq:cmd.Print-Graph", "Print Graph"], [60, 3, 1, "coq:cmd.Print-Hint", "Print Hint"], [60, 3, 1, "coq:cmd.Print-HintDb", "Print HintDb"], [44, 3, 1, "coq:cmd.Print-Implicit", "Print Implicit"], [13, 3, 1, "coq:cmd.Print-Instances", "Print Instances"], [71, 3, 1, "coq:cmd.Print-Keywords", "Print Keywords"], [59, 3, 1, "coq:cmd.Print-Libraries", "Print Libraries"], [59, 3, 1, "coq:cmd.Print-LoadPath", "Print LoadPath"], [54, 3, 1, "coq:cmd.Print-Ltac", "Print Ltac"], [54, 3, 1, "coq:cmd.Print-Ltac-Signatures", "Print Ltac Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2", "Print Ltac2"], [55, 3, 1, "coq:cmd.Print-Ltac2-Signatures", "Print Ltac2 Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2-Type", "Print Ltac2 Type"], [59, 3, 1, "coq:cmd.Print-ML-Modules", "Print ML Modules"], [59, 3, 1, "coq:cmd.Print-ML-Path", "Print ML Path"], [35, 3, 1, "coq:cmd.Print-Module", "Print Module"], [35, 3, 1, "coq:cmd.Print-Module-Type", "Print Module Type"], [35, 3, 1, "coq:cmd.Print-Namespace", "Print Namespace"], [71, 3, 1, "coq:cmd.Print-Notation", "Print Notation"], [59, 3, 1, "coq:cmd.Print-Opaque-Dependencies", "Print Opaque Dependencies"], [29, 3, 1, "coq:cmd.Print-Options", "Print Options"], [59, 3, 1, "coq:cmd.Print-Registered", "Print Registered"], [59, 3, 1, "coq:cmd.Print-Registered-Schemes", "Print Registered Schemes"], [60, 3, 1, "coq:cmd.Print-Rewrite-HintDb", "Print Rewrite HintDb"], [11, 3, 1, "coq:cmd.Print-Rings", "Print Rings"], [71, 3, 1, "coq:cmd.Print-Scope", "Print Scope"], [71, 3, 1, "coq:cmd.Print-Scopes", "Print Scopes"], [59, 3, 1, "coq:cmd.Print-Section", "Print Section"], [64, 3, 1, "coq:cmd.Print-Strategies", "Print Strategies"], [64, 3, 1, "coq:cmd.Print-Strategy", "Print Strategy"], [29, 3, 1, "coq:cmd.Print-Table", "Print Table"], [29, 3, 1, "coq:cmd.Print-Tables", "Print Tables"], [59, 3, 1, "coq:cmd.Print-Transparent-Dependencies", "Print Transparent Dependencies"], [13, 3, 1, "coq:cmd.Print-Typeclasses", "Print Typeclasses"], [59, 3, 1, "coq:cmd.Print-Typing-Flags", "Print Typing Flags"], [14, 3, 1, "coq:cmd.Print-Universes", "Print Universes"], [71, 3, 1, "coq:cmd.Print-Visibility", "Print Visibility"], [59, 4, 1, "coq:flag.Printing-All", "Printing All"], [46, 4, 1, "coq:flag.Printing-Allow-Match-Default-Clause", "Printing Allow Match Default Clause"], [4, 8, 1, "coq:table.Printing-Coercion", "Printing Coercion"], [4, 4, 1, "coq:flag.Printing-Coercions", "Printing Coercions"], [59, 4, 1, "coq:flag.Printing-Compact-Contexts", "Printing Compact Contexts"], [37, 8, 1, "coq:table.Printing-Constructor", "Printing Constructor"], [59, 4, 1, "coq:flag.Printing-Dependent-Evars-Line", "Printing Dependent Evars Line"], [59, 6, 1, "coq:opt.Printing-Depth", "Printing Depth"], [43, 4, 1, "coq:flag.Printing-Existential-Instances", "Printing Existential Instances"], [46, 4, 1, "coq:flag.Printing-Factorizable-Match-Patterns", "Printing Factorizable Match Patterns"], [66, 4, 1, "coq:flag.Printing-Goal-Names", "Printing Goal Names"], [66, 4, 1, "coq:flag.Printing-Goal-Tags", "Printing Goal Tags"], [46, 8, 1, "coq:table.Printing-If", "Printing If"], [44, 4, 1, "coq:flag.Printing-Implicit", "Printing Implicit"], [44, 4, 1, "coq:flag.Printing-Implicit-Defensive", "Printing Implicit Defensive"], [46, 8, 1, "coq:table.Printing-Let", "Printing Let"], [46, 4, 1, "coq:flag.Printing-Match-All-Subterms", "Printing Match All Subterms"], [46, 4, 1, "coq:flag.Printing-Matching", "Printing Matching"], [71, 4, 1, "coq:flag.Printing-Notations", "Printing Notations"], [71, 4, 1, "coq:flag.Printing-Parentheses", "Printing Parentheses"], [37, 4, 1, "coq:flag.Printing-Primitive-Projection-Parameters", "Printing Primitive Projection Parameters"], [37, 4, 1, "coq:flag.Printing-Projections", "Printing Projections"], [71, 4, 1, "coq:flag.Printing-Raw-Literals", "Printing Raw Literals"], [37, 8, 1, "coq:table.Printing-Record", "Printing Record"], [37, 4, 1, "coq:flag.Printing-Records", "Printing Records"], [12, 4, 1, "coq:flag.Printing-Relevance-Marks", "Printing Relevance Marks"], [46, 4, 1, "coq:flag.Printing-Synth", "Printing Synth"], [59, 4, 1, "coq:flag.Printing-Unfocused", "Printing Unfocused"], [37, 4, 1, "coq:flag.Printing-Unfolded-Projection-As-Match", "Printing Unfolded Projection As Match"], [14, 4, 1, "coq:flag.Printing-Universes", "Printing Universes"], [44, 4, 1, "coq:flag.Printing-Use-Implicit-Types", "Printing Use Implicit Types"], [59, 6, 1, "coq:opt.Printing-Width", "Printing Width"], [46, 4, 1, "coq:flag.Printing-Wildcard", "Printing Wildcard"], [40, 7, 1, "coq:attr.Private", "Private"], [14, 4, 1, "coq:flag.Private-Polymorphic-Universes", "Private Polymorphic Universes"], [59, 3, 1, "coq:cmd.Profile", "Profile"], [9, 7, 1, "coq:attr.Program", "Program"], [9, 4, 1, "coq:flag.Program-Cases", "Program Cases"], [9, 4, 1, "coq:flag.Program-Generalized-Coercion", "Program Generalized Coercion"], [9, 4, 1, "coq:flag.Program-Mode", "Program Mode"], [66, 3, 1, "coq:cmd.Proof", "Proof"], [66, 3, 1, "coq:cmd.Proof-Mode", "Proof Mode"], [66, 3, 1, "coq:cmd.Proof-`term`", "Proof `term`"], [66, 3, 1, "coq:cmd.Proof-using", "Proof using"], [60, 3, 1, "coq:cmd.Proof-with", "Proof with"], [32, 3, 1, "coq:cmd.Property", "Property"], [32, 3, 1, "coq:cmd.Proposition", "Proposition"], [5, 5, 1, "coq:thm.Psatz", "Psatz"], [2, 3, 1, "coq:cmd.Pwd", "Pwd"], [66, 3, 1, "coq:cmd.Qed", "Qed"], [59, 3, 1, "coq:cmd.Quit", "Quit"], [37, 3, 1, "coq:cmd.Record", "Record"], [37, 0, 1, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive", "Records declared with the keyword Record or Structure cannot be recursive"], [2, 3, 1, "coq:cmd.Recursive-Extraction", "Recursive Extraction"], [2, 3, 1, "coq:cmd.Recursive-Extraction-Library", "Recursive Extraction Library"], [59, 3, 1, "coq:cmd.Redirect", "Redirect"], [59, 3, 1, "coq:cmd.Register", "Register"], [59, 3, 1, "coq:cmd.Register-Inline", "Register Inline"], [59, 3, 1, "coq:cmd.Register-Scheme", "Register Scheme"], [64, 4, 1, "coq:flag.Regular-Subst-Tactic", "Regular Subst Tactic"], [32, 3, 1, "coq:cmd.Remark", "Remark"], [29, 3, 1, "coq:cmd.Remove", "Remove"], [60, 3, 1, "coq:cmd.Remove-Hints", "Remove Hints"], [59, 3, 1, "coq:cmd.Require", "Require"], [59, 3, 1, "coq:cmd.Require-Export", "Require Export"], [59, 3, 1, "coq:cmd.Require-Import", "Require Import"], [71, 3, 1, "coq:cmd.Reserved-Infix", "Reserved Infix"], [71, 3, 1, "coq:cmd.Reserved-Notation", "Reserved Notation"], [59, 3, 1, "coq:cmd.Reset", "Reset"], [2, 3, 1, "coq:cmd.Reset-Extraction-Blacklist", "Reset Extraction Blacklist"], [2, 3, 1, "coq:cmd.Reset-Extraction-Callback", "Reset Extraction Callback"], [2, 3, 1, "coq:cmd.Reset-Extraction-Inline", "Reset Extraction Inline"], [59, 3, 1, "coq:cmd.Reset-Initial", "Reset Initial"], [54, 3, 1, "coq:cmd.Reset-Ltac-Profile", "Reset Ltac Profile"], [66, 3, 1, "coq:cmd.Restart", "Restart"], [44, 4, 1, "coq:flag.Reversible-Pattern-Implicit", "Reversible Pattern Implicit"], [10, 3, 1, "coq:cmd.Rewrite-Rule", "Rewrite Rule"], [10, 3, 1, "coq:cmd.Rewrite-Rules", "Rewrite Rules"], [10, 0, 1, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\"", "Rewrite rule declaration requires passing the flag "-allow-rewrite-rules""], [67, 4, 1, "coq:flag.Rewriting-Schemes", "Rewriting Schemes"], [11, 0, 1, "coq:exn.Ring-operation-should-be-declared-as-a-morphism", "Ring operation should be declared as a morphism"], [12, 0, 1, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off", "SProp is disallowed because the "Allow StrictProp" flag is off"], [66, 3, 1, "coq:cmd.Save", "Save"], [67, 3, 1, "coq:cmd.Scheme", "Scheme"], [67, 3, 1, "coq:cmd.Scheme-Boolean-Equality", "Scheme Boolean Equality"], [67, 3, 1, "coq:cmd.Scheme-Equality", "Scheme Equality"], [71, 0, 1, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore", "Scope delimiters should not start with an underscore"], [71, 0, 1, "coq:exn.Scope-names-should-not-start-with-an-underscore", "Scope names should not start with an underscore"], [59, 3, 1, "coq:cmd.Search", "Search"], [59, 8, 1, "coq:table.Search-Blacklist", "Search Blacklist"], [59, 4, 1, "coq:flag.Search-Output-Name-Only", "Search Output Name Only"], [59, 3, 1, "coq:cmd.SearchPattern", "SearchPattern"], [59, 3, 1, "coq:cmd.SearchRewrite", "SearchRewrite"], [38, 3, 1, "coq:cmd.Section", "Section"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion"], [2, 3, 1, "coq:cmd.Separate-Extraction", "Separate Extraction"], [29, 3, 1, "coq:cmd.Set", "Set"], [35, 4, 1, "coq:flag.Short-Module-Printing", "Short Module Printing"], [66, 3, 1, "coq:cmd.Show", "Show"], [66, 3, 1, "coq:cmd.Show-Conjectures", "Show Conjectures"], [66, 3, 1, "coq:cmd.Show-Existentials", "Show Existentials"], [2, 3, 1, "coq:cmd.Show-Extraction", "Show Extraction"], [66, 3, 1, "coq:cmd.Show-Goal", "Show Goal"], [66, 3, 1, "coq:cmd.Show-Intro", "Show Intro"], [66, 3, 1, "coq:cmd.Show-Intros", "Show Intros"], [5, 3, 1, "coq:cmd.Show-Lia-Profile", "Show Lia Profile"], [54, 3, 1, "coq:cmd.Show-Ltac-Profile", "Show Ltac Profile"], [66, 3, 1, "coq:cmd.Show-Match", "Show Match"], [9, 3, 1, "coq:cmd.Show-Obligation-Tactic", "Show Obligation Tactic"], [66, 3, 1, "coq:cmd.Show-Proof", "Show Proof"], [66, 3, 1, "coq:cmd.Show-Universes", "Show Universes"], [5, 3, 1, "coq:cmd.Show-Zify", "Show Zify"], [35, 0, 1, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match", "Signature components for field \u2018ident\u2019 do not match"], [59, 4, 1, "coq:flag.Silent", "Silent"], [9, 3, 1, "coq:cmd.Solve-All-Obligations", "Solve All Obligations"], [9, 3, 1, "coq:cmd.Solve-Obligations", "Solve Obligations"], [66, 4, 1, "coq:flag.Solve-Unification-Constraints", "Solve Unification Constraints"], [57, 4, 1, "coq:flag.SsrHave-NoTCResolution", "SsrHave NoTCResolution"], [57, 4, 1, "coq:flag.SsrIdents", "SsrIdents"], [57, 4, 1, "coq:flag.SsrOldRewriteGoalsOrder", "SsrOldRewriteGoalsOrder"], [57, 4, 1, "coq:flag.SsrRewrite", "SsrRewrite"], [71, 2, 1, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)", "Stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed)"], [64, 3, 1, "coq:cmd.Strategy", "Strategy"], [44, 4, 1, "coq:flag.Strict-Implicit", "Strict Implicit"], [14, 4, 1, "coq:flag.Strict-Universe-Declaration", "Strict Universe Declaration"], [71, 3, 1, "coq:cmd.String-Notation", "String Notation"], [44, 4, 1, "coq:flag.Strongly-Strict-Implicit", "Strongly Strict Implicit"], [67, 4, 1, "coq:flag.Structural-Injection", "Structural Injection"], [37, 3, 1, "coq:cmd.Structure", "Structure"], [4, 3, 1, "coq:cmd.SubClass", "SubClass"], [59, 3, 1, "coq:cmd.Succeed", "Succeed"], [66, 4, 1, "coq:flag.Suggest-Proof-Using", "Suggest Proof Using"], [10, 3, 1, "coq:cmd.Symbol", "Symbol"], [10, 3, 1, "coq:cmd.Symbols", "Symbols"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])", "Syntax error: [prim:reference] expected after 'Notation' (in [vernac:command])"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])", "Syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command])"], [71, 3, 1, "coq:cmd.Tactic-Notation", "Tactic Notation"], [54, 0, 1, "coq:exn.Tactic-failure", "Tactic failure"], [54, 0, 1, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)", "Tactic failure (level \u2018natural\u2019)"], [54, 0, 1, "coq:exn.Tactic-failure:--succeeds", "Tactic failure: <tactic closure> succeeds"], [64, 0, 1, "coq:exn.Tactic-failure:-Setoid-library-not-loaded", "Tactic failure: Setoid library not loaded"], [64, 0, 1, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal", "Tactic generated a subgoal identical to the original goal"], [64, 0, 1, "coq:exn.Terms-do-not-have-convertible-types", "Terms do not have convertible types"], [29, 3, 1, "coq:cmd.Test", "Test"], [60, 0, 1, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic", "The "at" syntax isn't available yet for the autorewrite tactic"], [41, 0, 1, "coq:exn.The-&-modifier-may-only-occur-once", "The & modifier may only occur once"], [71, 2, 1, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type", "The 'abstract after' directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type"], [41, 0, 1, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given", "The 'clear implicits' flag must be omitted if implicit annotations are given"], [41, 0, 1, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations", "The 'default implicits' flag is incompatible with implicit annotations"], [41, 0, 1, "coq:exn.The-/-modifier-may-only-occur-once", "The / modifier may only occur once"], [59, 0, 1, "coq:exn.The-command-has-not-failed!", "The command has not failed!"], [34, 0, 1, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019", "The conclusion of \u2018type\u2019 is not valid; it must be built from \u2018ident\u2019"], [46, 0, 1, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments", "The constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments"], [14, 0, 1, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context", "The cumulative attribute can only be used in a polymorphic context"], [46, 0, 1, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)", "The elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case)"], [35, 0, 1, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019", "The field \u2018ident\u2019 is missing in \u2018qualid\u2019"], [72, 0, 1, "coq:exn.The-recursive-argument-must-be-specified", "The recursive argument must be specified"], [55, 0, 1, "coq:exn.The-reference-X-was-not-found-in-the-current-environment", "The reference X was not found in the current environment"], [64, 0, 1, "coq:exn.The-reference-is-not-unfoldable", "The reference is not unfoldable"], [64, 0, 1, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment", "The reference \u2018qualid\u2019 was not found in the current environment"], [58, 0, 1, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type", "The term "\u2018type\u2019" has type "\u2018type\u2019" which should be Set, Prop or Type"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant", "The term \u2018qualid\u2019 is already defined as foreign custom constant"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant", "The term \u2018qualid\u2019 is already defined as inline custom constant"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type", "The term \u2018term\u2019 has type \u2018type\u2019 which should be Set, Prop or Type"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'", "The term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019'"], [67, 0, 1, "coq:exn.The-type-has-no-constructors", "The type has no constructors"], [59, 0, 1, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked", "The type \u2018ident\u2019 must be registered before this construction can be typechecked"], [46, 0, 1, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term", "The variable ident is bound several times in pattern term"], [58, 0, 1, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared", "The variable \u2018ident\u2019 is already declared"], [40, 0, 1, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019", "The \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019"], [32, 3, 1, "coq:cmd.Theorem", "Theorem"], [54, 0, 1, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019", "There is already an Ltac named \u2018qualid\u2019"], [54, 0, 1, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019", "There is no Ltac named \u2018qualid\u2019"], [29, 2, 1, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag or option with this name: "\u2018setting_name\u2019""], [29, 0, 1, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag, option or table with this name: "\u2018setting_name\u2019""], [29, 0, 1, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no qualid-valued table with this name: "\u2018setting_name\u2019""], [29, 0, 1, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no string-valued table with this name: "\u2018setting_name\u2019""], [38, 0, 1, "coq:exn.There-is-nothing-to-end", "There is nothing to end"], [29, 2, 1, "coq:warn.This-command-does-not-support-this-attribute", "This command does not support this attribute"], [59, 0, 1, "coq:exn.This-object-does-not-support-universe-names", "This object does not support universe names"], [66, 0, 1, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way", "This proof is focused, but cannot be unfocused this way"], [54, 0, 1, "coq:exn.This-tactic-has-more-than-one-success", "This tactic has more than one success"], [59, 3, 1, "coq:cmd.Time", "Time"], [59, 3, 1, "coq:cmd.Timeout", "Timeout"], [71, 2, 1, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019", "To avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019"], [41, 0, 1, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified", "To rename arguments the 'rename' flag must be specified"], [64, 3, 1, "coq:cmd.Transparent", "Transparent"], [9, 4, 1, "coq:flag.Transparent-Obligations", "Transparent Obligations"], [35, 2, 1, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!", "Trying to mask the absolute name \u2018qualid\u2019!"], [59, 3, 1, "coq:cmd.Type", "Type"], [67, 0, 1, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019", "Type of \u2018ident\u2019 is not an equality of recognized \u03a3 types: expected one of sig sig2 sigT sigT2 sigT2 ex or ex2 but got \u2018term\u2019"], [13, 4, 1, "coq:flag.Typeclass-Resolution-For-Conversion", "Typeclass Resolution For Conversion"], [13, 4, 1, "coq:flag.Typeclasses-Debug", "Typeclasses Debug"], [13, 6, 1, "coq:opt.Typeclasses-Debug-Verbosity", "Typeclasses Debug Verbosity"], [13, 6, 1, "coq:opt.Typeclasses-Default-Mode", "Typeclasses Default Mode"], [13, 4, 1, "coq:flag.Typeclasses-Dependency-Order", "Typeclasses Dependency Order"], [13, 6, 1, "coq:opt.Typeclasses-Depth", "Typeclasses Depth"], [13, 4, 1, "coq:flag.Typeclasses-Iterative-Deepening", "Typeclasses Iterative Deepening"], [13, 4, 1, "coq:flag.Typeclasses-Limit-Intros", "Typeclasses Limit Intros"], [13, 3, 1, "coq:cmd.Typeclasses-Opaque", "Typeclasses Opaque"], [13, 4, 1, "coq:flag.Typeclasses-Strict-Resolution", "Typeclasses Strict Resolution"], [13, 3, 1, "coq:cmd.Typeclasses-Transparent", "Typeclasses Transparent"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Instances", "Typeclasses Unique Instances"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Solutions", "Typeclasses Unique Solutions"], [13, 3, 1, "coq:cmd.Typeclasses-eauto", "Typeclasses eauto"], [67, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019"], [58, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019"], [46, 0, 1, "coq:exn.Unable-to-infer-a-match-predicate", "Unable to infer a match predicate"], [3, 0, 1, "coq:exn.Unable-to-satisfy-the-rewriting-constraints", "Unable to satisfy the rewriting constraints"], [58, 0, 1, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019", "Unable to unify \u2018one_term\u2019 with \u2018one_term\u2019"], [55, 0, 1, "coq:exn.Unbound-[value|constructor]-X", "Unbound [value|constructor] X"], [54, 0, 1, "coq:exn.Unbound-context-identifier-\u2018ident\u2019", "Unbound context identifier \u2018ident\u2019"], [14, 0, 1, "coq:exn.Undeclared-universe-\u2018ident\u2019", "Undeclared universe \u2018ident\u2019"], [71, 3, 1, "coq:cmd.Undelimit-Scope", "Undelimit Scope"], [66, 3, 1, "coq:cmd.Undo", "Undo"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected non-option term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected non-option term \u2018term\u2019 while parsing a string notation"], [71, 0, 1, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation", "Unexpected only parsing for an only printing notation"], [71, 0, 1, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation", "Unexpected only printing for an only parsing notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected term \u2018term\u2019 while parsing a string notation"], [66, 3, 1, "coq:cmd.Unfocus", "Unfocus"], [66, 3, 1, "coq:cmd.Unfocused", "Unfocused"], [34, 4, 1, "coq:flag.Uniform-Inductive-Parameters", "Uniform Inductive Parameters"], [14, 3, 1, "coq:cmd.Universe", "Universe"], [59, 4, 1, "coq:flag.Universe-Checking", "Universe Checking"], [14, 4, 1, "coq:flag.Universe-Minimization-ToSet", "Universe Minimization ToSet"], [14, 4, 1, "coq:flag.Universe-Polymorphism", "Universe Polymorphism"], [14, 0, 1, "coq:exn.Universe-inconsistency", "Universe inconsistency"], [59, 0, 1, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019", "Universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019"], [14, 3, 1, "coq:cmd.Universes", "Universes"], [71, 0, 1, "coq:exn.Unknown-custom-entry", "Unknown custom entry"], [71, 0, 1, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019", "Unknown custom entry: \u2018ident\u2019"], [66, 0, 1, "coq:exn.Unknown-inductive-type", "Unknown inductive type"], [29, 3, 1, "coq:cmd.Unset", "Unset"], [66, 3, 1, "coq:cmd.Unshelve", "Unshelve"], [71, 0, 1, "coq:exn.Unterminated-string-in-notation", "Unterminated string in notation"], [28, 2, 1, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\"", "Use of "Variable" or "Hypothesis" outside sections behaves as "#[local] Parameter" or "#[local] Axiom""], [71, 2, 1, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax", "Use of \u2018string\u2019 Notation is deprecated as it is inconsistent with pattern syntax"], [13, 2, 1, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d", "Using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d"], [66, 3, 1, "coq:cmd.Validate-Proof", "Validate Proof"], [28, 3, 1, "coq:cmd.Variable", "Variable"], [66, 2, 1, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables", "Variable All is shadowed by Collection named All containing all variables"], [28, 3, 1, "coq:cmd.Variables", "Variables"], [40, 3, 1, "coq:cmd.Variant", "Variant"], [59, 6, 1, "coq:opt.Warnings", "Warnings"], [44, 0, 1, "coq:exn.Wrong-argument-name", "Wrong argument name"], [44, 0, 1, "coq:exn.Wrong-argument-position", "Wrong argument position"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here", "Wrong bullet \u2018bullet\u2019: Bullet \u2018bullet\u2019 is mandatory here"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished", "Wrong bullet \u2018bullet\u2019: Current bullet \u2018bullet\u2019 is not finished"], [54, 1, 1, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[ \u2026 | \u2026 | \u2026 ] (dispatch)"], [54, 1, 1, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[> \u2026 | \u2026 | \u2026 ] (dispatch)"], [55, 7, 1, "coq:attr.abstract", "abstract"], [66, 1, 1, "coq:tacn.abstract", "abstract"], [57, 1, 1, "coq:tacn.abstract-(ssreflect)", "abstract (ssreflect)"], [58, 1, 1, "coq:tacn.absurd", "absurd"], [71, 7, 1, "coq:attr.add_bottom", "add_bottom"], [71, 7, 1, "coq:attr.add_top", "add_top"], [66, 1, 1, "coq:tacn.admit", "admit"], [58, 1, 1, "coq:tacn.apply", "apply"], [57, 1, 1, "coq:tacn.apply-(ssreflect)", "apply (ssreflect)"], [58, 1, 1, "coq:tacn.assert", "assert"], [54, 1, 1, "coq:tacn.assert_fails", "assert_fails"], [54, 1, 1, "coq:tacn.assert_succeeds", "assert_succeeds"], [58, 1, 1, "coq:tacn.assumption", "assumption"], [60, 1, 1, "coq:tacn.auto", "auto"], [13, 1, 1, "coq:tacn.autoapply", "autoapply"], [60, 1, 1, "coq:tacn.autorewrite", "autorewrite"], [60, 1, 1, "coq:tacn.autounfold", "autounfold"], [60, 1, 1, "coq:tacn.autounfold_one", "autounfold_one"], [62, 1, 1, "coq:tacn.btauto", "btauto"], [66, 1, 1, "coq:tacn.bullet-(--+-*)", "bullet (- + *)"], [57, 1, 1, "coq:tacn.by", "by"], [59, 7, 1, "coq:attr.bypass_check(guard)", "bypass_check(guard)"], [59, 7, 1, "coq:attr.bypass_check(positivity)", "bypass_check(positivity)"], [59, 7, 1, "coq:attr.bypass_check(universes)", "bypass_check(universes)"], [42, 7, 1, "coq:attr.canonical", "canonical"], [67, 1, 1, "coq:tacn.case", "case"], [57, 1, 1, "coq:tacn.case-(ssreflect)", "case (ssreflect)"], [67, 1, 1, "coq:tacn.case_eq", "case_eq"], [64, 1, 1, "coq:tacn.cbn", "cbn"], [64, 1, 1, "coq:tacn.cbv", "cbv"], [64, 1, 1, "coq:tacn.change", "change"], [64, 1, 1, "coq:tacn.change_no_check", "change_no_check"], [58, 1, 1, "coq:tacn.classical_left", "classical_left"], [58, 1, 1, "coq:tacn.classical_right", "classical_right"], [58, 1, 1, "coq:tacn.clear", "clear"], [58, 1, 1, "coq:tacn.clear-dependent", "clear dependent"], [38, 7, 1, "coq:attr.clearbody", "clearbody"], [58, 1, 1, "coq:tacn.clearbody", "clearbody"], [71, 2, 1, "coq:warn.closed-notation-not-level-0", "closed-notation-not-level-0"], [67, 1, 1, "coq:tacn.cofix", "cofix"], [67, 1, 1, "coq:tacn.compare", "compare"], [64, 1, 1, "coq:tacn.compute", "compute"], [57, 1, 1, "coq:tacn.congr", "congr"], [62, 1, 1, "coq:tacn.congruence", "congruence"], [54, 1, 1, "coq:tacn.constr_eq", "constr_eq"], [54, 1, 1, "coq:tacn.constr_eq_nounivs", "constr_eq_nounivs"], [54, 1, 1, "coq:tacn.constr_eq_strict", "constr_eq_strict"], [67, 1, 1, "coq:tacn.constructor", "constructor"], [54, 1, 1, "coq:tacn.context", "context"], [58, 1, 1, "coq:tacn.contradict", "contradict"], [58, 1, 1, "coq:tacn.contradiction", "contradiction"], [54, 1, 1, "coq:tacn.convert", "convert"], [58, 1, 1, "coq:tacn.cut", "cut"], [66, 1, 1, "coq:tacn.cycle", "cycle"], [60, 1, 1, "coq:tacn.debug-auto", "debug auto"], [60, 1, 1, "coq:tacn.debug-eauto", "debug eauto"], [60, 1, 1, "coq:tacn.debug-trivial", "debug trivial"], [67, 1, 1, "coq:tacn.decide", "decide"], [67, 1, 1, "coq:tacn.decide-equality", "decide equality"], [67, 1, 1, "coq:tacn.decompose", "decompose"], [67, 1, 1, "coq:tacn.decompose-record", "decompose record"], [67, 1, 1, "coq:tacn.decompose-sum", "decompose sum"], [67, 1, 1, "coq:tacn.dependent-destruction", "dependent destruction"], [58, 1, 1, "coq:tacn.dependent-generalize_eqs", "dependent generalize_eqs"], [58, 1, 1, "coq:tacn.dependent-generalize_eqs_vars", "dependent generalize_eqs_vars"], [67, 1, 1, "coq:tacn.dependent-induction", "dependent induction"], [67, 1, 1, "coq:tacn.dependent-inversion", "dependent inversion"], [67, 1, 1, "coq:tacn.dependent-inversion_clear", "dependent inversion_clear"], [67, 1, 1, "coq:tacn.dependent-rewrite", "dependent rewrite"], [67, 1, 1, "coq:tacn.dependent-simple-inversion", "dependent simple inversion"], [74, 7, 1, "coq:attr.deprecated", "deprecated"], [67, 1, 1, "coq:tacn.destauto", "destauto"], [67, 1, 1, "coq:tacn.destruct", "destruct"], [62, 1, 1, "coq:tacn.dintuition", "dintuition"], [67, 1, 1, "coq:tacn.discriminate", "discriminate"], [54, 1, 1, "coq:tacn.do", "do"], [57, 1, 1, "coq:tacn.do-(ssreflect)", "do (ssreflect)"], [57, 1, 1, "coq:tacn.done", "done"], [62, 1, 1, "coq:tacn.dtauto", "dtauto"], [58, 1, 1, "coq:tacn.eapply", "eapply"], [58, 1, 1, "coq:tacn.eassert", "eassert"], [58, 1, 1, "coq:tacn.eassumption", "eassumption"], [60, 1, 1, "coq:tacn.easy", "easy"], [60, 1, 1, "coq:tacn.eauto", "eauto"], [67, 1, 1, "coq:tacn.ecase", "ecase"], [67, 1, 1, "coq:tacn.econstructor", "econstructor"], [67, 1, 1, "coq:tacn.edestruct", "edestruct"], [67, 1, 1, "coq:tacn.ediscriminate", "ediscriminate"], [67, 1, 1, "coq:tacn.eelim", "eelim"], [58, 1, 1, "coq:tacn.eenough", "eenough"], [58, 1, 1, "coq:tacn.eexact", "eexact"], [67, 1, 1, "coq:tacn.eexists", "eexists"], [67, 1, 1, "coq:tacn.einduction", "einduction"], [67, 1, 1, "coq:tacn.einjection", "einjection"], [58, 1, 1, "coq:tacn.eintros", "eintros"], [67, 1, 1, "coq:tacn.eleft", "eleft"], [67, 1, 1, "coq:tacn.elim", "elim"], [57, 1, 1, "coq:tacn.elim-(ssreflect)", "elim (ssreflect)"], [58, 1, 1, "coq:tacn.enough", "enough"], [58, 1, 1, "coq:tacn.epose", "epose"], [58, 1, 1, "coq:tacn.epose-proof", "epose proof"], [58, 1, 1, "coq:tacn.eremember", "eremember"], [64, 1, 1, "coq:tacn.erewrite", "erewrite"], [67, 1, 1, "coq:tacn.eright", "eright"], [58, 1, 1, "coq:tacn.eset", "eset"], [67, 1, 1, "coq:tacn.esimplify_eq", "esimplify_eq"], [67, 1, 1, "coq:tacn.esplit", "esplit"], [64, 1, 1, "coq:tacn.etransitivity", "etransitivity"], [64, 1, 1, "coq:tacn.eval", "eval"], [58, 1, 1, "coq:tacn.evar", "evar"], [58, 1, 1, "coq:tacn.exact", "exact"], [57, 1, 1, "coq:tacn.exact-(ssreflect)", "exact (ssreflect)"], [58, 1, 1, "coq:tacn.exact_no_check", "exact_no_check"], [54, 1, 1, "coq:tacn.exactly_once", "exactly_once"], [58, 1, 1, "coq:tacn.exfalso", "exfalso"], [67, 1, 1, "coq:tacn.exists", "exists"], [35, 7, 1, "coq:attr.export", "export"], [64, 1, 1, "coq:tacn.f_equal", "f_equal"], [54, 1, 1, "coq:tacn.fail", "fail"], [11, 1, 1, "coq:tacn.field", "field"], [11, 1, 1, "coq:tacn.field_lookup", "field_lookup"], [11, 1, 1, "coq:tacn.field_simplify", "field_simplify"], [11, 1, 1, "coq:tacn.field_simplify_eq", "field_simplify_eq"], [54, 1, 1, "coq:tacn.finish_timing", "finish_timing"], [54, 1, 1, "coq:tacn.first", "first"], [57, 1, 1, "coq:tacn.first-(ssreflect)", "first (ssreflect)"], [57, 9, 1, "coq:tacv.first-last", "first last"], [62, 1, 1, "coq:tacn.firstorder", "firstorder"], [67, 1, 1, "coq:tacn.fix", "fix"], [64, 1, 1, "coq:tacn.fold", "fold"], [54, 1, 1, "coq:tacn.fresh", "fresh"], [54, 1, 1, "coq:tacn.fun", "fun"], [72, 1, 1, "coq:tacn.functional-induction", "functional induction"], [72, 1, 1, "coq:tacn.functional-inversion", "functional inversion"], [58, 1, 1, "coq:tacn.generalize", "generalize"], [58, 1, 1, "coq:tacn.generalize-dependent", "generalize dependent"], [58, 1, 1, "coq:tacn.generalize_eqs", "generalize_eqs"], [58, 1, 1, "coq:tacn.generalize_eqs_vars", "generalize_eqs_vars"], [57, 1, 1, "coq:tacn.generally-have", "generally have"], [54, 1, 1, "coq:tacn.gfail", "gfail"], [66, 1, 1, "coq:tacn.give_up", "give_up"], [35, 7, 1, "coq:attr.global", "global"], [54, 1, 1, "coq:tacn.guard", "guard"], [54, 1, 1, "coq:tacn.has_evar", "has_evar"], [57, 1, 1, "coq:tacn.have", "have"], [3, 1, 1, "coq:tacn.head_of_constr", "head_of_constr"], [64, 1, 1, "coq:tacn.hnf", "hnf"], [54, 1, 1, "coq:tacn.idtac", "idtac"], [55, 1, 1, "coq:tacn.if-then-else-(Ltac2)", "if-then-else (Ltac2)"], [57, 1, 1, "coq:tacn.in", "in"], [67, 1, 1, "coq:tacn.induction", "induction"], [54, 3, 1, "coq:cmd.infoH", "infoH"], [60, 1, 1, "coq:tacn.info_auto", "info_auto"], [60, 1, 1, "coq:tacn.info_eauto", "info_eauto"], [60, 1, 1, "coq:tacn.info_trivial", "info_trivial"], [67, 1, 1, "coq:tacn.injection", "injection"], [58, 1, 1, "coq:tacn.instantiate", "instantiate"], [58, 1, 1, "coq:tacn.intro", "intro"], [58, 1, 1, "coq:tacn.intros", "intros"], [58, 1, 1, "coq:tacn.intros-until", "intros until"], [62, 1, 1, "coq:tacn.intuition", "intuition"], [67, 1, 1, "coq:tacn.inversion", "inversion"], [67, 1, 1, "coq:tacn.inversion_clear", "inversion_clear"], [67, 1, 1, "coq:tacn.inversion_sigma", "inversion_sigma"], [54, 1, 1, "coq:tacn.is_cofix", "is_cofix"], [54, 1, 1, "coq:tacn.is_const", "is_const"], [54, 1, 1, "coq:tacn.is_constructor", "is_constructor"], [54, 1, 1, "coq:tacn.is_evar", "is_evar"], [54, 1, 1, "coq:tacn.is_fix", "is_fix"], [54, 1, 1, "coq:tacn.is_ground", "is_ground"], [54, 1, 1, "coq:tacn.is_ind", "is_ind"], [54, 1, 1, "coq:tacn.is_proj", "is_proj"], [54, 1, 1, "coq:tacn.is_var", "is_var"], [58, 1, 1, "coq:tacn.lapply", "lapply"], [58, 0, 1, "coq:exn.lapply-needs-a-non-dependent-product", "lapply needs a non-dependent product"], [57, 1, 1, "coq:tacn.last", "last"], [57, 9, 1, "coq:tacv.last-first", "last first"], [64, 1, 1, "coq:tacn.lazy", "lazy"], [55, 1, 1, "coq:tacn.lazy_match!", "lazy_match!"], [55, 1, 1, "coq:tacn.lazy_match!-goal", "lazy_match! goal"], [54, 1, 1, "coq:tacn.lazymatch", "lazymatch"], [54, 1, 1, "coq:tacn.lazymatch-goal", "lazymatch goal"], [67, 1, 1, "coq:tacn.left", "left"], [54, 1, 1, "coq:tacn.let", "let"], [5, 1, 1, "coq:tacn.lia", "lia"], [35, 7, 1, "coq:attr.local", "local"], [5, 1, 1, "coq:tacn.lra", "lra"], [54, 1, 1, "coq:tacn.ltac-seq", "ltac-seq"], [54, 1, 1, "coq:tacn.match", "match"], [55, 1, 1, "coq:tacn.match-(Ltac2)", "match (Ltac2)"], [54, 1, 1, "coq:tacn.match-goal", "match goal"], [55, 1, 1, "coq:tacn.match!", "match!"], [55, 1, 1, "coq:tacn.match!-goal", "match! goal"], [60, 2, 1, "coq:warn.mismatched-hint-db", "mismatched-hint-db"], [13, 7, 1, "coq:attr.mode", "mode"], [58, 1, 1, "coq:tacn.move", "move"], [57, 1, 1, "coq:tacn.move-(ssreflect)", "move (ssreflect)"], [55, 1, 1, "coq:tacn.multi_match!", "multi_match!"], [55, 1, 1, "coq:tacn.multi_match!-goal", "multi_match! goal"], [54, 1, 1, "coq:tacn.multimatch", "multimatch"], [54, 1, 1, "coq:tacn.multimatch-goal", "multimatch goal"], [58, 1, 1, "coq:tacn.native_cast_no_check", "native_cast_no_check"], [64, 1, 1, "coq:tacn.native_compute", "native_compute"], [5, 1, 1, "coq:tacn.nia", "nia"], [4, 7, 1, "coq:attr.nonuniform", "nonuniform"], [54, 0, 1, "coq:exn.not-a-cofix-definition", "not a cofix definition"], [54, 0, 1, "coq:exn.not-a-constant", "not a constant"], [54, 0, 1, "coq:exn.not-a-constructor", "not a constructor"], [54, 0, 1, "coq:exn.not-a-fix-definition", "not a fix definition"], [54, 0, 1, "coq:exn.not-a-primitive-projection", "not a primitive projection"], [54, 0, 1, "coq:exn.not-an-(co)inductive-datatype", "not an (co)inductive datatype"], [54, 1, 1, "coq:tacn.not_evar", "not_evar"], [71, 2, 1, "coq:warn.notation-incompatible-prefix", "notation-incompatible-prefix"], [60, 1, 1, "coq:tacn.now", "now"], [64, 1, 1, "coq:tacn.now_show", "now_show"], [5, 1, 1, "coq:tacn.nra", "nra"], [7, 1, 1, "coq:tacn.nsatz", "nsatz"], [7, 1, 1, "coq:tacn.nsatz_compute", "nsatz_compute"], [54, 1, 1, "coq:tacn.numgoals", "numgoals"], [54, 1, 1, "coq:tacn.once", "once"], [54, 1, 1, "coq:tacn.only", "only"], [54, 1, 1, "coq:tacn.optimize_heap", "optimize_heap"], [57, 1, 1, "coq:tacn.over", "over"], [71, 0, 1, "coq:exn.overflow-in-int63-literal-\u2018bigint\u2019", "overflow in int63 literal \u2018bigint\u2019"], [64, 1, 1, "coq:tacn.pattern", "pattern"], [58, 1, 1, "coq:tacn.pose", "pose"], [57, 1, 1, "coq:tacn.pose-(ssreflect)", "pose (ssreflect)"], [58, 1, 1, "coq:tacn.pose-proof", "pose proof"], [71, 2, 1, "coq:warn.postfix-notation-not-level-1", "postfix-notation-not-level-1"], [40, 7, 1, "coq:attr.private(matching)", "private(matching)"], [9, 7, 1, "coq:attr.program", "program"], [54, 1, 1, "coq:tacn.progress", "progress"], [37, 7, 1, "coq:attr.projections(primitive)", "projections(primitive)"], [11, 1, 1, "coq:tacn.protect_fv", "protect_fv"], [5, 1, 1, "coq:tacn.psatz", "psatz"], [59, 0, 1, "coq:exn.public-name-according-to-findlib,-for-example", "public name according to findlib, for example"], [58, 1, 1, "coq:tacn.rapply", "rapply"], [64, 1, 1, "coq:tacn.red", "red"], [13, 7, 1, "coq:attr.refine", "refine"], [58, 1, 1, "coq:tacn.refine", "refine"], [64, 1, 1, "coq:tacn.reflexivity", "reflexivity"], [58, 1, 1, "coq:tacn.remember", "remember"], [58, 1, 1, "coq:tacn.rename", "rename"], [54, 1, 1, "coq:tacn.repeat", "repeat"], [64, 1, 1, "coq:tacn.replace", "replace"], [54, 1, 1, "coq:tacn.reset-ltac-profile", "reset ltac profile"], [54, 1, 1, "coq:tacn.restart_timer", "restart_timer"], [4, 7, 1, "coq:attr.reversible", "reversible"], [58, 1, 1, "coq:tacn.revert", "revert"], [58, 1, 1, "coq:tacn.revert-dependent", "revert dependent"], [66, 1, 1, "coq:tacn.revgoals", "revgoals"], [64, 1, 1, "coq:tacn.rewrite", "rewrite"], [57, 1, 1, "coq:tacn.rewrite-(ssreflect)", "rewrite (ssreflect)"], [64, 1, 1, "coq:tacn.rewrite-*", "rewrite *"], [3, 1, 1, "coq:tacn.rewrite_db", "rewrite_db"], [3, 1, 1, "coq:tacn.rewrite_strat", "rewrite_strat"], [67, 1, 1, "coq:tacn.right", "right"], [11, 1, 1, "coq:tacn.ring", "ring"], [11, 1, 1, "coq:tacn.ring_lookup", "ring_lookup"], [11, 1, 1, "coq:tacn.ring_simplify", "ring_simplify"], [62, 1, 1, "coq:tacn.rtauto", "rtauto"], [58, 1, 1, "coq:tacn.set", "set"], [57, 1, 1, "coq:tacn.set-(ssreflect)", "set (ssreflect)"], [3, 1, 1, "coq:tacn.setoid_etransitivity", "setoid_etransitivity"], [3, 1, 1, "coq:tacn.setoid_reflexivity", "setoid_reflexivity"], [3, 1, 1, "coq:tacn.setoid_replace", "setoid_replace"], [3, 1, 1, "coq:tacn.setoid_rewrite", "setoid_rewrite"], [3, 1, 1, "coq:tacn.setoid_symmetry", "setoid_symmetry"], [3, 1, 1, "coq:tacn.setoid_transitivity", "setoid_transitivity"], [59, 0, 1, "coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid", "shared library failed: Coq Error: \u2018string\u2019 is not a valid"], [66, 1, 1, "coq:tacn.shelve", "shelve"], [66, 1, 1, "coq:tacn.shelve_unifiable", "shelve_unifiable"], [54, 1, 1, "coq:tacn.show-ltac-profile", "show ltac profile"], [64, 1, 1, "coq:tacn.simpl", "simpl"], [58, 1, 1, "coq:tacn.simple-apply", "simple apply"], [62, 1, 1, "coq:tacn.simple-congruence", "simple congruence"], [67, 1, 1, "coq:tacn.simple-destruct", "simple destruct"], [58, 1, 1, "coq:tacn.simple-eapply", "simple eapply"], [67, 1, 1, "coq:tacn.simple-induction", "simple induction"], [67, 1, 1, "coq:tacn.simple-injection", "simple injection"], [67, 1, 1, "coq:tacn.simple-inversion", "simple inversion"], [64, 1, 1, "coq:tacn.simple-subst", "simple subst"], [67, 1, 1, "coq:tacn.simplify_eq", "simplify_eq"], [72, 1, 1, "coq:tacn.soft-functional-induction", "soft functional induction"], [54, 1, 1, "coq:tacn.solve", "solve"], [66, 1, 1, "coq:tacn.solve_constraints", "solve_constraints"], [58, 1, 1, "coq:tacn.specialize", "specialize"], [58, 1, 1, "coq:tacn.specialize_eqs", "specialize_eqs"], [67, 1, 1, "coq:tacn.split", "split"], [54, 1, 1, "coq:tacn.start-ltac-profiling", "start ltac profiling"], [64, 1, 1, "coq:tacn.stepl", "stepl"], [64, 1, 1, "coq:tacn.stepr", "stepr"], [54, 1, 1, "coq:tacn.stop-ltac-profiling", "stop ltac profiling"], [64, 1, 1, "coq:tacn.subst", "subst"], [64, 1, 1, "coq:tacn.substitute", "substitute"], [57, 1, 1, "coq:tacn.suff", "suff"], [57, 1, 1, "coq:tacn.suffices", "suffices"], [66, 1, 1, "coq:tacn.swap", "swap"], [64, 1, 1, "coq:tacn.symmetry", "symmetry"], [62, 1, 1, "coq:tacn.tauto", "tauto"], [34, 0, 1, "coq:exn.template-and-polymorphism-not-compatible", "template and polymorphism not compatible"], [54, 1, 1, "coq:tacn.time", "time"], [54, 1, 1, "coq:tacn.time_constr", "time_constr"], [54, 1, 1, "coq:tacn.timeout", "timeout"], [64, 1, 1, "coq:tacn.transitivity", "transitivity"], [66, 1, 1, "coq:tacn.transparent_abstract", "transparent_abstract"], [60, 1, 1, "coq:tacn.trivial", "trivial"], [54, 1, 1, "coq:tacn.try", "try"], [54, 1, 1, "coq:tacn.tryif", "tryif"], [54, 1, 1, "coq:tacn.type-of", "type of"], [54, 1, 1, "coq:tacn.type_term", "type_term"], [13, 1, 1, "coq:tacn.typeclasses-eauto", "typeclasses eauto"], [57, 1, 1, "coq:tacn.under", "under"], [64, 1, 1, "coq:tacn.unfold", "unfold"], [54, 1, 1, "coq:tacn.unify", "unify"], [14, 7, 1, "coq:attr.universes(cumulative)", "universes(cumulative)"], [14, 7, 1, "coq:attr.universes(polymorphic)", "universes(polymorphic)"], [34, 7, 1, "coq:attr.universes(template)", "universes(template)"], [57, 1, 1, "coq:tacn.unlock", "unlock"], [66, 1, 1, "coq:tacn.unshelve", "unshelve"], [66, 7, 1, "coq:attr.using", "using"], [58, 1, 1, "coq:tacn.vm_cast_no_check", "vm_cast_no_check"], [64, 1, 1, "coq:tacn.vm_compute", "vm_compute"], [74, 7, 1, "coq:attr.warn", "warn"], [29, 7, 1, "coq:attr.warning", "warning"], [29, 7, 1, "coq:attr.warnings", "warnings"], [64, 1, 1, "coq:tacn.with_strategy", "with_strategy"], [57, 1, 1, "coq:tacn.without-loss", "without loss"], [5, 1, 1, "coq:tacn.wlia", "wlia"], [57, 1, 1, "coq:tacn.wlog", "wlog"], [5, 1, 1, "coq:tacn.wlra_Q", "wlra_Q"], [5, 1, 1, "coq:tacn.wnia", "wnia"], [5, 1, 1, "coq:tacn.wnra_Q", "wnra_Q"], [5, 1, 1, "coq:tacn.wpsatz_Q", "wpsatz_Q"], [5, 1, 1, "coq:tacn.wpsatz_Z", "wpsatz_Z"], [5, 1, 1, "coq:tacn.wsos_Q", "wsos_Q"], [5, 1, 1, "coq:tacn.wsos_Z", "wsos_Z"], [5, 1, 1, "coq:tacn.xlia", "xlia"], [5, 1, 1, "coq:tacn.xlra_Q", "xlra_Q"], [5, 1, 1, "coq:tacn.xlra_R", "xlra_R"], [5, 1, 1, "coq:tacn.xnia", "xnia"], [5, 1, 1, "coq:tacn.xnra_Q", "xnra_Q"], [5, 1, 1, "coq:tacn.xnra_R", "xnra_R"], [5, 1, 1, "coq:tacn.xpsatz_Q", "xpsatz_Q"], [5, 1, 1, "coq:tacn.xpsatz_R", "xpsatz_R"], [5, 1, 1, "coq:tacn.xpsatz_Z", "xpsatz_Z"], [5, 1, 1, "coq:tacn.xsos_Q", "xsos_Q"], [5, 1, 1, "coq:tacn.xsos_R", "xsos_R"], [5, 1, 1, "coq:tacn.xsos_Z", "xsos_Z"], [5, 1, 1, "coq:tacn.zify", "zify"], [5, 1, 1, "coq:tacn.zify_elim_let", "zify_elim_let"], [5, 1, 1, "coq:tacn.zify_iter_let", "zify_iter_let"], [5, 1, 1, "coq:tacn.zify_iter_specs", "zify_iter_specs"], [5, 1, 1, "coq:tacn.zify_op", "zify_op"], [5, 1, 1, "coq:tacn.zify_saturate", "zify_saturate"], [66, 1, 1, "coq:tacn.{", "{"], [54, 1, 1, "coq:tacn.||-(first-tactic-making-progress)", "|| (first tactic making progress)"], [66, 1, 1, "coq:tacn.}", "}"], [4, 0, 1, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant", "\u2018coercion_class\u2019 must be a transparent constant"], [37, 0, 1, "coq:exn.\u2018ident\u2019-already-exists", "\u2018ident\u2019 already exists"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined", "\u2018ident\u2019 cannot be defined"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not", "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined", "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined"], [13, 2, 1, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass", "\u2018ident\u2019 is already declared as a typeclass"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-already-used", "\u2018ident\u2019 is already used"], [66, 2, 1, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable", "\u2018ident\u2019 is both name of a Collection and Variable, Collection \u2018ident\u2019 takes precedence over Variable"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-not-a-local-definition", "\u2018ident\u2019 is not a local definition"], [67, 0, 1, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types", "\u2018ident\u2019 is not an equality of \u03a3 types"], [64, 0, 1, "coq:exn.\u2018ident\u2019-is-opaque", "\u2018ident\u2019 is opaque"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion", "\u2018ident\u2019 is used in the conclusion"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019", "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019"], [66, 2, 1, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command", "\u2018ident\u2019 was already a defined Variable, the name \u2018ident\u2019 will refer to Collection when executing "Proof using" command"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint", "\u2018qualid\u2019 cannot be used as a hint"], [64, 0, 1, "coq:exn.\u2018qualid\u2019-does-not-occur", "\u2018qualid\u2019 does not occur"], [4, 2, 1, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition", "\u2018qualid\u2019 does not respect the uniform inheritance condition"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-already-a-coercion", "\u2018qualid\u2019 is already a coercion"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference", "\u2018qualid\u2019 is bound to a notation that does not denote a reference"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-function", "\u2018qualid\u2019 is not a function"], [35, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-module", "\u2018qualid\u2019 is not a module"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type", "\u2018qualid\u2019 is not an inductive type"], [59, 0, 1, "coq:exn.\u2018qualid\u2019-not-a-defined-object", "\u2018qualid\u2019 not a defined object"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-not-declared", "\u2018qualid\u2019 not declared"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019", "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019"], [74, 2, 1, "coq:warn.\u2018string\u2019", "\u2018string\u2019"], [71, 0, 1, "coq:exn.\u2018type\u2019-is-not-an-inductive-type", "\u2018type\u2019 is not an inductive type"], [71, 2, 1, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation", "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation"], [54, 1, 1, "coq:tacn.\u2026-:-\u2026-(goal-selector)", "\u2026 : \u2026 (goal selector)"], [57, 1, 1, "coq:tacn.\u2026-:-\u2026-(ssreflect)", "\u2026 : \u2026 (ssreflect)"]], "..": [[4, 2, 1, "coq:warn....-is-not-definitionally-an-identity-function", " is not definitionally an identity function"]], "Argument \u2018name\u2019 is a trailing implicit, so it can't be declared non maximal": [[44, 0, 1, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]", " Please use { } instead of [ ]"]], "Cannot infer a term for this placeholder": [[44, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)", " (Casual use of implicit arguments)"], [58, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)", " (refine)"]], "Compiled library \u2018ident\u2019": [[59, 0, 1, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019", "vo makes inconsistent assumptions over library \u2018qualid\u2019"]], "Duplicate clear of H": [[57, 2, 1, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H", " Use { }H instead of { H }H"]], "File ... found twice in ..": [[59, 2, 1, "coq:warn.File-...-found-twice-in-...", ""]], "Goal is solvable by congruence but some arguments are missing": [[62, 0, 1, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms", " Try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms"]], "Library File (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Library File \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Ltac Profiler encountered an invalid stack (no self node)": [[54, 2, 1, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution", " This can happen if you reset the profile during tactic execution"]], "Ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Nested proofs are discouraged and not allowed by default. This error probably means that you forgot to close the last "Proof." with "Qed." or "Defined."": [[32, 0, 1, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on", " If you really intended to use nested proofs, you can do so by turning the "Nested Proofs Allowed" flag on"]], "New coercion path ... is ambiguous with existing ..": [[4, 2, 1, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-...", ""]], "No information can be deduced from this equality and the injectivity of constructors. This may be because the terms are convertible, or due to pattern matching restrictions in the sort Prop": [[67, 0, 1, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities", " You can try to use option Set Keep Proof Equalities"]], "No such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ..": [[58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)", ")"]], "No such goal": [[54, 0, 1, "coq:exn.No-such-goal.-(Goal-selector)", " (Goal selector)"], [54, 0, 1, "coq:exn.No-such-goal.-(fail)", " (fail)"], [66, 0, 1, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019", " Focus next goal with bullet \u2018bullet\u2019"], [66, 0, 1, "coq:exn.No-such-goal.-Try-unfocusing-with-}", " Try unfocusing with }"]], "Notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Proof is not complete": [[66, 0, 1, "coq:exn.Proof-is-not-complete.-(abstract)", " (abstract)"], [58, 0, 1, "coq:exn.Proof-is-not-complete.-(assert)", " (assert)"]], "Require inside a module is deprecated and strongly discouraged": [[59, 2, 1, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one", " You can Require a module at toplevel and optionally Import it inside another one"]], "Required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ..": [[59, 0, 1, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)", ")"]], "SSReflect: cannot obtain new equations out of ..": [[57, 2, 1, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-...", ""]], "Tactic Notation \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "The file \u2018ident\u2019": [[59, 0, 1, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019", "vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019"]], "The relation \u2018ident\u2019 is not a declared reflexive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared symmetric relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared transitive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "This command is just asserting the names of arguments of \u2018qualid\u2019. If this is what you want, add ': assert' to silence the warning. If you want to clear implicit arguments, add ': clear implicits'": [[41, 2, 1, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'", " If you want to clear notation scopes, add ': clear scopes'"]], "This hint is not local but depends on a section variable": [[60, 2, 1, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed", " It will disappear when the section is closed"]], "Type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. Expected type is: \u2018type\u2019 instead of \u2018type\u2019": [[71, 2, 1, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation", " This might yield ill typed terms when using the notation"]], "Unable to apply lemma of type "..." on hypothesis of type "..": [[58, 0, 1, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\"", """]], "Unused variable \u2018ident\u2019 might be a misspelled constructor. Use _ or _\u2018ident\u2019 to silence this warning": [[46, 2, 1, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning.", ""]], "package-name": [[59, 0, 1, "coq:exn.package-name.foo-and-not-foo_plugin", "foo and not foo_plugin"]], "plugin name anymore": [[59, 0, 1, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their", " Plugins should be loaded using their"]], "\u2018ident\u2019 already exists": [[28, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)", " (Axiom)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)", " (Definition)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)", " (Theorem)"]], "\u2018qualid\u2019 should go from Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)", "string to \u2018type\u2019 or (option \u2018type\u2019)"]], "\u2018qualid\u2019 should go from Number.int to \u2018type\u2019 or (option \u2018type\u2019). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or PrimFloat.float or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 or PrimFloat first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to Number.int or (option Number.int). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to T or (option T), where T is either Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string", "string"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by "_""]], "\u2018string\u2019 cannot be interpreted as a known notation": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by "_""]]}, "objtypes": {"0": "coq:exn", "1": "coq:tacn", "2": "coq:warn", "3": "coq:cmd", "4": "coq:flag", "5": "coq:thm", "6": "coq:opt", "7": "coq:attr", "8": "coq:table", "9": "coq:tacv"}, "objnames": {"0": ["coq", "exn", "Coq exn"], "1": ["coq", "tacn", "Coq tacn"], "2": ["coq", "warn", "Coq warn"], "3": ["coq", "cmd", "Coq cmd"], "4": ["coq", "flag", "Coq flag"], "5": ["coq", "thm", "Coq thm"], "6": ["coq", "opt", "Coq opt"], "7": ["coq", "attr", "Coq attr"], "8": ["coq", "table", "Coq table"], "9": ["coq", "tacv", "Coq tacv"]}, "titleterms": {"program": [2, 6, 9, 27, 55, 60], "extract": [2, 17, 24], "gener": [2, 3, 4, 11, 14, 23, 29, 44, 54, 55, 57, 67, 71, 72], "ml": [2, 55], "code": 2, "option": [2, 17, 21, 29, 51, 66, 75], "set": [2, 13, 26, 29, 37, 41, 57, 58, 60, 66], "target": [2, 53], "languag": [2, 17, 24, 25, 33, 45, 55, 57], "inlin": [2, 59], "optim": [2, 54], "extra": [2, 59], "elimin": [2, 46, 57], "useless": 2, "argument": [2, 37, 41, 44, 46, 53, 57, 67, 71], "realiz": 2, "axiom": 2, "induct": [2, 26, 34, 40, 46, 67, 71, 72], "type": [2, 3, 4, 10, 17, 26, 28, 30, 32, 34, 35, 37, 38, 40, 44, 46, 54, 55, 57, 59, 67, 71], "ffi": 2, "avoid": 2, "conflict": 2, "exist": [2, 24, 35], "filenam": [2, 53], "addit": [2, 57, 60], "differ": [2, 44, 66], "between": [2, 55, 59, 66], "rocq": [2, 25, 51, 53, 57, 60, 71, 74, 75], "system": [2, 35], "some": [2, 35], "exampl": [2, 3, 4, 5, 6, 11, 14, 17, 26, 27, 28, 29, 30, 31, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "A": [2, 14, 35, 58, 67], "detail": [2, 17, 24, 53], "euclidean": 2, "divis": 2, "": [2, 41, 67], "horror": 2, "museum": 2, "user": [2, 3, 10, 24, 27], "contribut": [2, 24, 27], "rewrit": [3, 10, 57, 64, 67], "introduct": [3, 25, 57], "relat": 3, "morphism": 3, "parametr": [3, 46, 57], "continu": [3, 41, 44], "contravari": 3, "ad": [3, 11, 52], "new": [3, 11, 17, 24, 35, 53, 57, 63], "nonreflex": 3, "nonsymmetr": 3, "covari": 3, "ambigu": 3, "setoid": [3, 64], "context": [3, 13, 54, 55, 57, 58], "valu": [3, 46, 54, 55], "declar": [3, 13, 38, 41, 42, 44, 55, 57, 66, 67], "command": [3, 13, 17, 19, 24, 35, 51, 52, 57, 59, 66, 67, 71, 75, 76], "tactic": [3, 5, 11, 17, 22, 24, 27, 43, 54, 55, 57, 58, 60, 61, 63, 64, 67, 71, 72, 74], "first": [3, 34, 46, 54, 57], "class": [3, 4, 37, 55, 71], "enabl": [3, 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"Constant unfolding during rewriting": [[3, "constant-unfolding-during-rewriting"]], "Constant unfolding during Proper-instance search": [[3, "constant-unfolding-during-proper-instance-search"]], "Strategies for rewriting": [[3, "strategies-for-rewriting"]], "Usage": [[3, "usage"], [57, "usage"], [75, "usage"]], "Definitions": [[3, "definitions"], [32, "definitions"], [57, "definitions"]], "Example: innermost and outermost": [[3, "rewrite-strat-innermost-outermost"]], "Implicit Coercions": [[4, "implicit-coercions"]], "General Presentation": [[4, "general-presentation"], [14, "general-presentation"]], "Coercion Classes": [[4, "coercion-classes"], [4, "id2"]], "Coercions": [[4, "id1"]], "Reversible Coercions": [[4, "reversible-coercions"]], "Identity Coercions": [[4, "identity-coercions"]], "Inheritance Graph": [[4, "inheritance-graph"]], "Displaying Available Coercions": [[4, "displaying-available-coercions"]], "Activating the Printing of Coercions": [[4, "activating-the-printing-of-coercions"]], "Classes as Records": [[4, "classes-as-records"]], "Coercions and Sections": [[4, "coercions-and-sections"]], "Coercions and Modules": [[4, "coercions-and-modules"]], "Examples": [[4, "examples"], [31, "examples"], [35, "examples"], [57, "examples"]], "Example: Coercion at function application": [[4, null]], "Example: Coercion to a type": [[4, null]], "Example: Coercion to a function": [[4, null]], "Example: Reversible coercions": [[4, "example-reversible-coercion"]], "Example: Reversible coercions using the reversible attribute": [[4, "example-reversible-coercion-attribute"]], "Example: Identity coercions.": [[4, "example-identity-coercion"]], "Example: Inheritance Graph": [[4, null]], "Micromega: solvers for arithmetic goals over ordered rings": [[5, "micromega-solvers-for-arithmetic-goals-over-ordered-rings"]], "Short description of the tactics": [[5, "short-description-of-the-tactics"]], "Positivstellensatz refutations": [[5, "positivstellensatz-refutations"]], "lra: a decision procedure for linear real and rational arithmetic": [[5, "lra-a-decision-procedure-for-linear-real-and-rational-arithmetic"]], "lia: a tactic for linear integer arithmetic": [[5, "lia-a-tactic-for-linear-integer-arithmetic"]], "High level view of lia": [[5, "high-level-view-of-lia"]], "Cutting plane proofs": [[5, "cutting-plane-proofs"]], "Example: Cutting plane": [[5, null]], "Case split": [[5, "case-split"]], "nra: a proof procedure for non-linear arithmetic": [[5, "nra-a-proof-procedure-for-non-linear-arithmetic"]], "nia: a proof procedure for non-linear integer arithmetic": [[5, "nia-a-proof-procedure-for-non-linear-integer-arithmetic"]], "psatz: a proof procedure for non-linear arithmetic": [[5, "psatz-a-proof-procedure-for-non-linear-arithmetic"]], "zify: pre-processing of arithmetic goals": [[5, "zify-pre-processing-of-arithmetic-goals"]], "Example: Lra": [[5, "lra-example"]], "Program derivation": [[6, "program-derivation"]], "Nsatz: a solver for equalities in integral domains": [[7, "nsatz-a-solver-for-equalities-in-integral-domains"]], "More about nsatz": [[7, "more-about-nsatz"]], "Asynchronous and Parallel Proof Processing": [[8, "asynchronous-and-parallel-proof-processing"]], "Proof annotations": [[8, "proof-annotations"]], "Automatic suggestion of proof annotations": [[8, "automatic-suggestion-of-proof-annotations"]], "Proof blocks and error resilience": [[8, "proof-blocks-and-error-resilience"]], "Caveats": [[8, "caveats"], [8, "id3"]], "Interactive mode": [[8, "interactive-mode"], [57, "interactive-mode"]], "Limiting the number of parallel workers": [[8, "limiting-the-number-of-parallel-workers"]], "Program": [[9, "program"]], "Elaborating programs": [[9, "elaborating-programs"]], "Syntactic control over equalities": [[9, "syntactic-control-over-equalities"]], "Program Definition": [[9, "program-definition"]], "Program Fixpoint": [[9, "program-fixpoint"]], "Program Lemma": [[9, "program-lemma"]], "Solving obligations": [[9, "solving-obligations"]], "Frequently Asked Questions": [[9, "frequently-asked-questions"]], "User-defined rewrite rules": [[10, "user-defined-rewrite-rules"]], "Symbols": [[10, "symbols"]], "Rewrite rules": [[10, "id1"]], "Pattern syntax": [[10, "pattern-syntax"]], "Higher-order pattern holes": [[10, "higher-order-pattern-holes"]], "Universe polymorphic rules": [[10, "universe-polymorphic-rules"]], "Rewrite rules, type preservation, confluence and termination": [[10, "rewrite-rules-type-preservation-confluence-and-termination"]], "Compatibility with the eta laws": [[10, "compatibility-with-the-eta-laws"]], "Level of support": [[10, "level-of-support"]], "ring and field: solvers for polynomial and rational equations": [[11, "ring-and-field-solvers-for-polynomial-and-rational-equations"]], "What does this tactic do?": [[11, "what-does-this-tactic-do"]], "The variables map": [[11, "the-variables-map"]], "Is it automatic?": [[11, "is-it-automatic"]], "Concrete 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extension": [[24, "parsing-and-grammar-extension"]], "New commands": [[24, "new-commands"]], "Changes in existing commands": [[24, "changes-in-existing-commands"]], "New user contributions": [[24, "new-user-contributions"]], "Details of changes in 7.2": [[24, "details-of-changes-in-7-2"]], "Details of changes in 7.3": [[24, "details-of-changes-in-7-3"]], "Changes in 7.3.1": [[24, "changes-in-7-3-1"]], "Details of changes in 7.4": [[24, "details-of-changes-in-7-4"]], "Introduction and Contents": [[25, "introduction-and-contents"]], "Contents": [[25, "contents"]], "Specification language": [[25, null]], "Proofs": [[25, null]], "Using the Rocq Prover": [[25, null]], "Appendix": [[25, null]], "Typing rules": [[26, "typing-rules"], [26, "id4"]], "The terms": [[26, "the-terms"]], "Subtyping rules": [[26, "subtyping-rules"]], "The Calculus of Inductive Constructions with impredicative Set": [[26, "the-calculus-of-inductive-constructions-with-impredicative-set"]], "The Coq libraries": [[27, "the-coq-libraries"]], "The prelude": [[27, "the-prelude"]], "Logic": [[27, "logic"]], "Propositional Connectives": [[27, "propositional-connectives"]], "Quantifiers": [[27, "quantifiers"]], "Equality": [[27, "equality"]], "Lemmas": [[27, "lemmas"]], "Datatypes": [[27, "datatypes"]], "Programming": [[27, "programming"]], "Specification": [[27, "specification"]], "Basic Arithmetic": [[27, "basic-arithmetic"]], "Well-founded recursion": [[27, "well-founded-recursion"]], "Users\u2019 contributions": [[27, "users-contributions"]], "Functions and assumptions": [[28, "functions-and-assumptions"]], "Binders": [[28, "binders"]], "Functions (fun) and function types (forall)": [[28, "functions-fun-and-function-types-forall"]], "Function application": [[28, "function-application"]], "Assumptions": [[28, "assumptions"]], "Example: Simple assumptions": [[28, null]], "Basic notions and conventions": [[29, "basic-notions-and-conventions"]], "Syntax and lexical conventions": [[29, "syntax-and-lexical-conventions"]], "Syntax conventions": [[29, "syntax-conventions"]], "Lexical conventions": [[29, "lexical-conventions"]], "Example: Stack overflow with nat": [[29, null]], "Essential vocabulary": [[29, "essential-vocabulary"]], "Attributes": [[29, "attributes"]], "Generic attributes": [[29, "generic-attributes"]], "Document-level attributes": [[29, "document-level-attributes"]], "Flags, Options and Tables": [[29, "flags-options-and-tables"]], "Locality attributes supported by Set and Unset": [[29, "locality-attributes-supported-by-set-and-unset"]], "Coinductive types and corecursive functions": [[30, "coinductive-types-and-corecursive-functions"]], "Coinductive types": [[30, "coinductive-types"]], "Caveat": [[30, "caveat"]], "Co-recursive functions: cofix": [[30, "co-recursive-functions-cofix"]], "Top-level definitions of corecursive functions": [[30, "top-level-definitions-of-corecursive-functions"]], "Conversion rules": [[31, "conversion-rules"]], "\u03b1-conversion": [[31, "conversion"]], "\u03b2-reduction": [[31, "reduction"]], "\u03b4-reduction": [[31, "delta-reduction-sect"]], "\u03b9-reduction": [[31, "id4"]], "\u03b6-reduction": [[31, "id6"]], "\u03b7-expansion": [[31, "expansion"]], "Example: Simple delta, fix, beta and match reductions": [[31, null]], "Proof Irrelevance": [[31, "proof-irrelevance"]], "Convertibility": [[31, "convertibility"]], "Let-in definitions": [[32, "let-in-definitions"]], "Type cast": [[32, "type-cast"]], "Top-level definitions": [[32, "top-level-definitions"]], "Assertions and proofs": [[32, "assertions-and-proofs"]], "Core language": [[33, "core-language"]], "Inductive types and recursive functions": [[34, "inductive-types-and-recursive-functions"]], "Inductive types": [[34, "inductive-types"]], "Simple inductive types": [[34, "simple-inductive-types"]], "Automatic Prop lowering": [[34, "automatic-prop-lowering"]], "Simple indexed inductive types": [[34, "simple-indexed-inductive-types"]], "Parameterized inductive types": [[34, "parameterized-inductive-types"]], "Mutually defined inductive types": [[34, "mutually-defined-inductive-types"]], "Example: Mutually defined inductive types": [[34, null]], "Recursive functions: fix": [[34, "recursive-functions-fix"]], "Top-level recursive functions": [[34, "top-level-recursive-functions"]], "Example: Mutual fixpoints": [[34, null]], "Theory of inductive definitions": [[34, "theory-of-inductive-definitions"]], "Types of inductive objects": [[34, "types-of-inductive-objects"]], "Well-formed inductive definitions": [[34, "well-formed-inductive-definitions"]], "Arity of a given sort": [[34, "arity-of-a-given-sort"]], "Arity": [[34, "arity"]], "Type of constructor": [[34, "type-of-constructor"]], "Positivity Condition": [[34, "positivity-condition"]], "Strict positivity": [[34, "strict-positivity"]], "Nested Positivity": [[34, "nested-positivity"]], "Correctness rules": [[34, "correctness-rules"]], "Example: Negative occurrence (first example)": [[34, null]], "Example: Negative occurrence (second example)": [[34, null]], "Example: Non strictly positive occurrence": [[34, null]], "Template polymorphism": [[34, "template-polymorphism"]], "Destructors": [[34, "destructors"]], "The match ... with ... end construction": [[34, "the-match-with-end-construction"]], "Fixpoint definitions": [[34, "fixpoint-definitions"]], "Typing rule": [[34, "id10"]], "Reduction rule": [[34, "reduction-rule"]], "The Module System": [[35, "the-module-system"]], "Modules and module types": [[35, "modules-and-module-types"]], "Using modules": [[35, "using-modules"]], "Example: Defining a simple module interactively": [[35, null]], "Example: Defining a simple module type interactively": [[35, "example-def-simple-module-type"]], "Example: Creating a new module that omits some items from an existing module": [[35, "example-filter-module"]], "Example: Creating a functor (a module with parameters)": [[35, null]], "Example: A module type with two sub-modules, sharing some fields": [[35, null]], "Qualified names": [[35, "qualified-names"]], "Controlling the scope of commands with locality attributes": [[35, "controlling-the-scope-of-commands-with-locality-attributes"]], "Summary of locality attributes in a module": [[35, "summary-of-locality-attributes-in-a-module"]], "Typing Modules": [[35, "typing-modules"]], "Primitive objects": [[36, "primitive-objects"]], "Primitive Integers": [[36, "primitive-integers"]], "Primitive Floats": [[36, "primitive-floats"]], "Primitive Arrays": [[36, "primitive-arrays"]], "Primitive (Byte-Based) Strings": [[36, "primitive-byte-based-strings"]], "Record types": [[37, "record-types"]], "Defining record types": [[37, "defining-record-types"]], "Example: Defining a record": [[37, null]], "Example: Reusing a field name in multiple records": [[37, null]], "Example: Using the \"as\" clause in a record definition": [[37, null]], "Example: Argument name for a record type created using Class": [[37, null]], "Constructing records": [[37, "constructing-records"]], "Example: Constructing 1/2 as a record": [[37, null]], "Accessing fields (projections)": [[37, "accessing-fields-projections"]], "Example: Accessing record fields": [[37, null]], "Example: Matching on records": [[37, null]], "Example: Accessing anonymous record fields with match": [[37, null]], "Settings for printing records": [[37, "settings-for-printing-records"]], "Primitive Projections": [[37, "primitive-projections"]], "Compatibility Constants for Projections": [[37, "compatibility-constants-for-projections"]], "Sections": [[38, "sections"], [75, "sections"]], "Using sections": [[38, "using-sections"]], "Example: Section-local declarations": [[38, "section-local-declarations"]], "Summary of locality attributes in a section": [[38, "summary-of-locality-attributes-in-a-section"]], "Typing rules used at the end of a section": [[38, "typing-rules-used-at-the-end-of-a-section"]], "Sorts": [[39, "sorts"]], "Variants and the match construct": [[40, "variants-and-the-match-construct"]], "Variants": [[40, "id1"]], "Private (matching) inductive types": [[40, "private-matching-inductive-types"]], "Definition by cases: match": [[40, "definition-by-cases-match"]], "Setting properties of a function's arguments": [[41, "setting-properties-of-a-function-s-arguments"]], "Manual declaration of implicit arguments": [[41, "manual-declaration-of-implicit-arguments"]], "Example: Multiple alternatives with implicits_alt": [[41, "example-more-implicits"]], "Automatic declaration of implicit arguments": [[41, "automatic-declaration-of-implicit-arguments"]], "Example: Default implicits": [[41, null]], "Renaming implicit arguments": [[41, "renaming-implicit-arguments"]], "Example: (continued) Renaming implicit arguments": [[41, null]], "Binding arguments to scopes": [[41, "binding-arguments-to-scopes"]], "Effects of Arguments on unfolding": [[41, "effects-of-arguments-on-unfolding"]], "Bidirectionality hints": [[41, "bidirectionality-hints"]], "Example: Bidirectionality hints": [[41, null]], "Canonical Structures": [[42, "canonical-structures"]], "Declaration of canonical structures": [[42, "declaration-of-canonical-structures"]], "Notation overloading": [[42, "notation-overloading"]], "Derived Canonical Structures": [[42, "derived-canonical-structures"]], "Hierarchy of structures": [[42, "hierarchy-of-structures"]], "Compact declaration of Canonical Structures": [[42, "compact-declaration-of-canonical-structures"]], "Existential variables": [[43, "existential-variables"]], "Inferable subterms": [[43, "inferable-subterms"]], "e* tactics that can create existential variables": [[43, "e-tactics-that-can-create-existential-variables"]], "Example: apply vs eapply": [[43, null]], "Automatic resolution of existential variables": [[43, "automatic-resolution-of-existential-variables"]], "Example: Automatic resolution of existential variables": [[43, "automatic-evar-resolution"]], "Explicit display of existential instances for pretty-printing": [[43, "explicit-display-of-existential-instances-for-pretty-printing"]], "Solving existential variables using tactics": [[43, "solving-existential-variables-using-tactics"]], "Implicit arguments": [[44, "implicit-arguments"]], "The different kinds of implicit arguments": [[44, "the-different-kinds-of-implicit-arguments"]], "Implicit arguments inferable from the knowledge of other arguments of a function": [[44, "implicit-arguments-inferable-from-the-knowledge-of-other-arguments-of-a-function"]], "Implicit arguments inferable by resolution": [[44, "implicit-arguments-inferable-by-resolution"]], "Maximal and non-maximal insertion of implicit arguments": [[44, "maximal-and-non-maximal-insertion-of-implicit-arguments"]], "Trailing Implicit Arguments": [[44, "trailing-implicit-arguments"]], "Casual use of implicit arguments": [[44, "casual-use-of-implicit-arguments"]], "Declaration of implicit arguments": [[44, "declaration-of-implicit-arguments"]], "Implicit Argument Binders": [[44, "implicit-argument-binders"]], "Mode for automatic declaration of implicit arguments": [[44, "mode-for-automatic-declaration-of-implicit-arguments"]], "Controlling strict implicit arguments": [[44, "controlling-strict-implicit-arguments"]], "Controlling contextual implicit arguments": [[44, "controlling-contextual-implicit-arguments"]], "Controlling reversible-pattern implicit arguments": [[44, "controlling-reversible-pattern-implicit-arguments"]], "Controlling the insertion of implicit arguments not followed by explicit arguments": [[44, "controlling-the-insertion-of-implicit-arguments-not-followed-by-explicit-arguments"]], "Combining manual declaration and automatic declaration": [[44, "combining-manual-declaration-and-automatic-declaration"]], "Explicit applications": [[44, "explicit-applications"]], "Example: Syntax for explicitly giving implicit arguments (continued)": [[44, null]], "Displaying implicit arguments": [[44, "displaying-implicit-arguments"]], "Displaying implicit arguments when pretty-printing": [[44, "displaying-implicit-arguments-when-pretty-printing"]], "Interaction with subtyping": [[44, "interaction-with-subtyping"]], "Deactivation of implicit arguments for parsing": [[44, "deactivation-of-implicit-arguments-for-parsing"]], "Implicit types of variables": [[44, "implicit-types-of-variables"]], "Implicit generalization": [[44, "implicit-generalization"]], "Language extensions": [[45, "language-extensions"]], "Extended pattern matching": [[46, "extended-pattern-matching"]], "Variants and extensions of match": [[46, "variants-and-extensions-of-match"]], "Multiple and nested pattern matching": [[46, "multiple-and-nested-pattern-matching"]], "Pattern-matching on boolean values: the if expression": [[46, "pattern-matching-on-boolean-values-the-if-expression"]], "Irrefutable patterns: the destructuring let variants": [[46, "irrefutable-patterns-the-destructuring-let-variants"]], "First destructuring let syntax": [[46, "first-destructuring-let-syntax"]], "Second destructuring let syntax": [[46, "second-destructuring-let-syntax"]], "Controlling pretty-printing of match expressions": [[46, "controlling-pretty-printing-of-match-expressions"]], "Printing nested patterns": [[46, "printing-nested-patterns"]], "Factorization of clauses with same right-hand side": [[46, "factorization-of-clauses-with-same-right-hand-side"]], "Use of a default clause": [[46, "use-of-a-default-clause"]], "Printing of wildcard patterns": [[46, "printing-of-wildcard-patterns"]], "Printing of the elimination predicate": [[46, "printing-of-the-elimination-predicate"]], "Printing of hidden subterms": [[46, "printing-of-hidden-subterms"]], "Printing matching on irrefutable patterns": [[46, "printing-matching-on-irrefutable-patterns"]], "Printing matching on booleans": [[46, "printing-matching-on-booleans"]], "Conventions about unused pattern-matching variables": [[46, "conventions-about-unused-pattern-matching-variables"]], "Patterns": [[46, "patterns"]], "Multiple patterns": [[46, "multiple-patterns"]], "Aliasing subpatterns": [[46, "aliasing-subpatterns"]], "Nested patterns": [[46, "nested-patterns"]], "Disjunctive patterns": [[46, "disjunctive-patterns"]], "About patterns of parametric types": [[46, "about-patterns-of-parametric-types"]], "Parameters in patterns": [[46, "parameters-in-patterns"]], "Implicit arguments in patterns": [[46, "implicit-arguments-in-patterns"]], "Matching objects of dependent types": [[46, "matching-objects-of-dependent-types"]], "Understanding dependencies in patterns": [[46, "understanding-dependencies-in-patterns"]], "When the elimination predicate must be provided": [[46, "when-the-elimination-predicate-must-be-provided"]], "Dependent pattern matching": [[46, "dependent-pattern-matching"]], "Multiple dependent pattern matching": [[46, "multiple-dependent-pattern-matching"]], "Patterns in in": [[46, "patterns-in-in"]], "Using pattern matching to write proofs": [[46, "using-pattern-matching-to-write-proofs"]], "Pattern-matching on inductive objects involving local definitions": [[46, "pattern-matching-on-inductive-objects-involving-local-definitions"]], "Pattern-matching and coercions": [[46, "pattern-matching-and-coercions"]], "When does the expansion strategy fail?": [[46, "when-does-the-expansion-strategy-fail"]], "The Rocq Prover commands": [[51, "the-rocq-prover-commands"]], "Interactive use (rocq repl)": [[51, "interactive-use-rocq-repl"]], "Batch compilation (rocq compile)": [[51, "batch-compilation-rocq-compile"]], "Example: Compiling and loading a single file": [[51, null]], "Customization at launch time": [[51, "customization-at-launch-time"]], "Command parameters": [[51, "command-parameters"]], "coqrc start up script": [[51, "coqrc-start-up-script"]], "Environment variables": [[51, "environment-variables"]], "Command line options": [[51, "command-line-options"], [75, "command-line-options"]], "Profiling": [[51, "profiling"], [55, "profiling"]], "Compiled interfaces (produced using -vos)": [[51, "compiled-interfaces-produced-using-vos"]], "Compiled libraries checker (rocqchk)": [[51, "compiled-libraries-checker-rocqchk"]], "Managing files and buffers, basic editing": [[52, "managing-files-and-buffers-basic-editing"]], "Running Coq scripts": [[52, "running-coq-scripts"]], "Asynchronous mode": [[52, "asynchronous-mode"]], "Commands and templates": [[52, "commands-and-templates"]], "Queries": [[52, "queries"]], "Compilation": [[52, "compilation"]], "Customizations": [[52, "customizations"]], "Preferences": [[52, "preferences"]], "Key bindings": [[52, "key-bindings"]], "Using Unicode symbols": [[52, "using-unicode-symbols"]], "Displaying Unicode symbols": [[52, "displaying-unicode-symbols"]], "Bindings for input of Unicode symbols": [[52, "bindings-for-input-of-unicode-symbols"]], "Adding custom bindings": [[52, "adding-custom-bindings"]], "Character encoding for saved files": [[52, "character-encoding-for-saved-files"]], "Debugger": [[52, "debugger"]], "Breakpoints": [[52, "breakpoints"]], "Call Stack and Variables": [[52, "call-stack-and-variables"]], "Supported use cases": [[52, "supported-use-cases"]], "Building Rocq Projects": [[53, "building-rocq-projects"]], "Rocq configuration basics": [[53, "rocq-configuration-basics"]], "Installing the Rocq Prover and Rocq packages with opam": [[53, "installing-the-rocq-prover-and-rocq-packages-with-opam"]], "Setup for working on your own projects": [[53, "setup-for-working-on-your-own-projects"]], "Building a project with _CoqProject (overview)": [[53, "building-a-project-with-coqproject-overview"]], "Logical paths and the load path": [[53, "logical-paths-and-the-load-path"]], "Modifying multiple interdependent projects at the same time": [[53, "modifying-multiple-interdependent-projects-at-the-same-time"]], "Installed and uninstalled packages": [[53, "installed-and-uninstalled-packages"]], "Upgrading to a new version of Rocq": [[53, "upgrading-to-a-new-version-of-rocq"]], "Building a Rocq project with rocq makefile (details)": [[53, "building-a-rocq-project-with-rocq-makefile-details"]], "Comments": [[53, "comments"]], "Quoting arguments to rocq c": [[53, "quoting-arguments-to-rocq-c"]], "Forbidden filenames": [[53, "forbidden-filenames"]], "Warning: No common logical root": [[53, "warning-no-common-logical-root"]], "CoqMakefile.local": [[53, "coqmakefile-local"]], "CoqMakefile.local-late": [[53, "coqmakefile-local-late"]], "Timing targets and performance testing": [[53, "timing-targets-and-performance-testing"]], "Building a subset of the targets with -j": [[53, "building-a-subset-of-the-targets-with-j"]], "Precompiling for native_compute": [[53, "precompiling-for-native-compute"]], "The grammar of _CoqProject": [[53, "the-grammar-of-coqproject"]], "Building a Rocq project with Dune": [[53, "building-a-rocq-project-with-dune"]], "rocq dep: Computing Module dependencies": [[53, "rocq-dep-computing-module-dependencies"]], "Split compilation of native computation files": [[53, "split-compilation-of-native-computation-files"]], "Using Rocq as a library": [[53, "using-rocq-as-a-library"]], "Embedded Rocq phrases inside LaTeX documents": [[53, "embedded-rocq-phrases-inside-latex-documents"]], "Man pages": [[53, "man-pages"]], "Ltac": [[54, "ltac"]], "Example: Basic tactic macros": [[54, null]], "Defects": [[54, "defects"]], "Syntax": [[54, "syntax"], [55, "syntax"], [57, "syntax"], [71, "syntax"]], "Values": [[54, "values"]], "Syntactic values": [[54, "syntactic-values"]], "Substitution": [[54, "substitution"]], "Example: Substitution of global and local symbols": [[54, null]], "Local definitions: let": [[54, "local-definitions-let"]], "Function construction and application": [[54, "function-construction-and-application"]], "Tactics in terms": [[54, "tactics-in-terms"]], "Goal selectors": [[54, "goal-selectors"]], "Example: Selector reordering goals": [[54, "reordering-goals-ex"]], "Processing multiple goals": [[54, "processing-multiple-goals"]], "Example: Multiple focused goals": [[54, null]], "Branching and backtracking": [[54, "branching-and-backtracking"]], "Example: Backtracking": [[54, null]], "Control flow": [[54, "control-flow"], [57, "control-flow"]], "Sequence: ;": [[54, "sequence"]], "Do loop": [[54, "do-loop"]], "Repeat loop": [[54, "repeat-loop"]], "Catching errors: try": [[54, "catching-errors-try"]], "Conditional branching: tryif": [[54, "conditional-branching-tryif"]], "Alternatives": [[54, "alternatives"]], "Branching with backtracking: +": [[54, "branching-with-backtracking"]], "Example: Backtracking branching with +": [[54, null]], "Local application of tactics: [> ... ]": [[54, "local-application-of-tactics"]], "First tactic to succeed": [[54, "first-tactic-to-succeed"]], "Example: Backtracking inside a non-backtracking construct": [[54, null]], "Example: Referring to a list of tactics in Tactic Notation": [[54, null]], "Solving": [[54, "solving"]], "First tactic to make progress: ||": [[54, "first-tactic-to-make-progress"]], "Detecting progress": [[54, "detecting-progress"]], "Success and failure": [[54, "success-and-failure"]], "Checking for success: assert_succeeds": [[54, "checking-for-success-assert-succeeds"]], "Checking for failure: assert_fails": [[54, "checking-for-failure-assert-fails"]], "Failing": [[54, "failing"]], "Soft cut: once": [[54, "soft-cut-once"]], "Checking for a single success: exactly_once": [[54, "checking-for-a-single-success-exactly-once"]], "Manipulating values": [[54, "manipulating-values"]], "Pattern matching on terms: match": [[54, "pattern-matching-on-terms-match"]], "Example: Comparison of lazymatch and match": [[54, null]], "Example: Comparison of match and multimatch": [[54, null]], "Example: Matching a pattern with holes": [[54, null]], "Example: Multiple matches for a \"context\" pattern.": [[54, null]], "Pattern matching on goals and hypotheses: match goal": [[54, "pattern-matching-on-goals-and-hypotheses-match-goal"]], "Example: Matching hypotheses": [[54, null]], "Example: Matching hypotheses with reverse": [[54, null], [55, "ltac2-match-goal-hyps-rev-ex"]], "Example: Multiple ways to match hypotheses": [[54, null]], "Filling a term context": [[54, "filling-a-term-context"]], "Example: Substituting a matched context": [[54, null]], "Generating fresh hypothesis names": [[54, "generating-fresh-hypothesis-names"]], "Computing in a term: eval": [[54, "computing-in-a-term-eval"]], "Getting the type of a term": [[54, "getting-the-type-of-a-term"]], "Manipulating untyped terms: type_term": [[54, "manipulating-untyped-terms-type-term"]], "Counting goals: numgoals": [[54, "counting-goals-numgoals"]], "Testing boolean expressions: guard": [[54, "testing-boolean-expressions-guard"]], "Example: guard": [[54, null]], "Checking properties of terms": [[54, "checking-properties-of-terms"]], "Example: is_fix": [[54, null]], "Example: is_cofix": [[54, null]], "Example: is_proj": [[54, null]], "Timing": [[54, "timing"]], "Timeout": [[54, "timeout"]], "Timing a tactic": [[54, "timing-a-tactic"]], "Timing a tactic that evaluates to a term: time_constr": [[54, "timing-a-tactic-that-evaluates-to-a-term-time-constr"]], "Print/identity tactic: idtac": [[54, "print-identity-tactic-idtac"]], "Tactic toplevel definitions": [[54, "tactic-toplevel-definitions"]], "Defining Ltac symbols": [[54, "defining-ltac-symbols"]], "Printing Ltac tactics": [[54, "printing-ltac-tactics"]], "Examples of using Ltac": [[54, "examples-of-using-ltac"]], "Proof that the natural numbers have at least two elements": [[54, "proof-that-the-natural-numbers-have-at-least-two-elements"]], "Example: Proof that the natural numbers have at least two elements": [[54, null]], "Proving that a list is a permutation of a second list": [[54, "proving-that-a-list-is-a-permutation-of-a-second-list"]], "Example: Proving that a list is a permutation of a second list": [[54, null]], "Deciding intuitionistic propositional logic": [[54, "deciding-intuitionistic-propositional-logic"]], "Deciding type isomorphisms": [[54, "deciding-type-isomorphisms"]], "Debugging Ltac tactics": [[54, "debugging-ltac-tactics"]], "Backtraces": [[54, "backtraces"]], "Tracing execution": [[54, "tracing-execution"]], "Interactive debugger": [[54, "interactive-debugger"]], "Profiling Ltac tactics": [[54, "profiling-ltac-tactics"]], "Run-time optimization tactic": [[54, "run-time-optimization-tactic"]], "Ltac2": [[55, "ltac2"]], "General design": [[55, "general-design"]], "ML component": [[55, "ml-component"]], "Overview": [[55, "overview"], [55, "id3"]], "Type Syntax": [[55, "type-syntax"]], "Type declarations": [[55, "type-declarations"]], "APIs": [[55, "apis"]], "Term Syntax": [[55, "term-syntax"]], "Ltac2 Definitions": [[55, "ltac2-definitions"]], "Example: Dynamic nature of mutable cells": [[55, null]], "Example: Interaction with recursive calls": [[55, null]], "Printing Ltac2 tactics": [[55, "printing-ltac2-tactics"]], "Typing": [[55, "typing"]], "Effects": [[55, "effects"]], "Standard IO": [[55, "standard-io"]], "Fatal errors": [[55, "fatal-errors"]], "Backtracking": [[55, "backtracking"], [59, "backtracking"]], "Goals": [[55, "goals"]], "Meta-programming": [[55, "meta-programming"]], "Quotations": [[55, "quotations"]], "Built-in quotations": [[55, "built-in-quotations"]], "Strict vs. non-strict mode": [[55, "strict-vs-non-strict-mode"]], "Term Antiquotations": [[55, "term-antiquotations"]], "Semantics": [[55, "semantics"]], "Static semantics": [[55, "static-semantics"]], "Dynamic semantics": [[55, "dynamic-semantics"]], "Match over terms": [[55, "match-over-terms"]], "Example: Ltac2 Comparison of lazy_match! and match!": [[55, "ltac2-match-vs-lazymatch-ex"]], "Example: Ltac2 Comparison of match! and multi_match!": [[55, "ltac2-match-vs-multimatch-ex"]], "Example: Ltac2 Multiple matches for a \"context\" pattern.": [[55, "ltac2-match-term-context-ex"]], "Match over goals": [[55, "match-over-goals"]], "Example: Ltac2 Matching hypotheses": [[55, "ltac2-match-goal-hyps-ex"]], "Example: Multiple ways to match a hypotheses": [[55, "ltac2-match-goal-multiple-hyps-ex"]], "Match on values": [[55, "match-on-values"]], "Example: Printing a term": [[55, null]], "Example: Parsing a list of terms": [[55, null]], "Abbreviations": [[55, "abbreviations"], [57, "abbreviations"], [71, "abbreviations"]], "Defining tactics": [[55, "defining-tactics"]], "Syntactic classes": [[55, "syntactic-classes"]], "Evaluation": [[55, "evaluation"]], "Debug": [[55, "debug"]], "Compatibility layer with Ltac1": [[55, "compatibility-layer-with-ltac1"]], "Ltac1 from Ltac2": [[55, "ltac1-from-ltac2"]], "Simple API": [[55, "simple-api"]], "Low-level API": [[55, "low-level-api"]], "Ltac2 from Ltac1": [[55, "ltac2-from-ltac1"]], "Switching between Ltac languages": [[55, "switching-between-ltac-languages"]], "Transition from Ltac1": [[55, "transition-from-ltac1"]], "Syntax changes": [[55, "syntax-changes"]], "Tactic delay": [[55, "tactic-delay"]], "Variable binding": [[55, "variable-binding"]], "In Ltac expressions": [[55, "in-ltac-expressions"]], "In quotations": [[55, "in-quotations"]], "Exception catching": [[55, "exception-catching"]], "The SSReflect proof language": [[57, "the-ssr-proof-language"]], "Introduction": [[57, "introduction"]], "Acknowledgments": [[57, "acknowledgments"]], "Getting started": [[57, "getting-started"]], "Compatibility issues": [[57, "compatibility-issues"]], "Gallina extensions": [[57, "gallina-extensions"]], "Pattern assignment": [[57, "pattern-assignment"]], "Pattern conditional": [[57, "pattern-conditional"]], "Parametric polymorphism": [[57, "parametric-polymorphism"]], "Anonymous arguments": [[57, "anonymous-arguments"]], "Wildcards": [[57, "wildcards"]], "Matching": [[57, "matching"]], "Occurrence selection": [[57, "occurrence-selection"]], "Basic localization": [[57, "basic-localization"]], "Basic tactics": [[57, "basic-tactics"]], "Bookkeeping": [[57, "bookkeeping"]], "The defective tactics": [[57, "the-defective-tactics"]], "The move tactic.": [[57, "the-move-tactic"]], "The case tactic": [[57, "the-case-tactic"]], "The elim tactic": [[57, "the-elim-tactic"]], "The apply tactic": [[57, "the-apply-tactic"]], "Discharge": [[57, "discharge"]], "Clear rules": [[57, "clear-rules"]], "Matching for apply and exact": [[57, "matching-for-apply-and-exact"]], "The abstract tactic": [[57, "the-abstract-tactic"]], "Introduction in the context": [[57, "introduction-in-the-context"]], "Simplification items": [[57, "simplification-items"]], "Views": [[57, "views"]], "Intro patterns": [[57, "intro-patterns"], [58, "intro-patterns"]], "Clear switch": [[57, "clear-switch"]], "Branching and destructuring": [[57, "branching-and-destructuring"]], "Block introduction": [[57, "block-introduction"]], "Generation of equations": [[57, "generation-of-equations"]], "Type families": [[57, "type-families"]], "Indentation and bullets": [[57, "indentation-and-bullets"]], "Terminators": [[57, "terminators"]], "Selectors": [[57, "selectors"]], "Iteration": [[57, "iteration"]], "Localization": [[57, "localization"]], "Structure": [[57, "structure"]], "The have tactic.": [[57, "the-have-tactic"]], "Generating let in context entries with have": [[57, "generating-let-in-context-entries-with-have"]], "The have tactic and typeclass resolution": [[57, "the-have-tactic-and-typeclass-resolution"]], "Variants: the suff and wlog tactics": [[57, "variants-the-suff-and-wlog-tactics"]], "Advanced generalization": [[57, "advanced-generalization"]], "Rewriting": [[57, "rewriting"]], "An extended rewrite tactic": [[57, "an-extended-rewrite-tactic"]], "Remarks and examples": [[57, "remarks-and-examples"]], "Rewrite redex selection": [[57, "rewrite-redex-selection"]], "Chained rewrite steps": [[57, "chained-rewrite-steps"]], "Explicit redex switches are matched first": [[57, "explicit-redex-switches-are-matched-first"]], "Occurrence switches and redex switches": [[57, "occurrence-switches-and-redex-switches"]], "Occurrence selection and repetition": [[57, "occurrence-selection-and-repetition"]], "Multi-rule rewriting": [[57, "multi-rule-rewriting"]], "Wildcards vs abstractions": [[57, "wildcards-vs-abstractions"]], "When SSReflect rewrite fails on standard Rocq licit rewrite": [[57, "when-ssr-rewrite-fails-on-standard-rocq-licit-rewrite"]], "Existential metavariables and rewriting": [[57, "existential-metavariables-and-rewriting"]], "The under tactic": [[57, "the-under-tactic"]], "The over tactic": [[57, "the-over-tactic"]], "One-liner mode": [[57, "one-liner-mode"]], "Locking, unlocking": [[57, "locking-unlocking"]], "Congruence": [[57, "congruence"]], "Contextual patterns": [[57, "contextual-patterns"]], "Matching contextual patterns": [[57, "matching-contextual-patterns"]], "Contextual pattern in set and the : tactical": [[57, "contextual-pattern-in-set-and-the-tactical"]], "Contextual patterns in rewrite": [[57, "contextual-patterns-in-rewrite"]], "Patterns for recurrent contexts": [[57, "patterns-for-recurrent-contexts"]], "Views and reflection": [[57, "views-and-reflection"]], "Interpreting eliminations": [[57, "interpreting-eliminations"]], "Interpreting assumptions": [[57, "interpreting-assumptions"], [57, "id16"]], "Specializing assumptions": [[57, "specializing-assumptions"], [57, "id15"]], "Interpreting goals": [[57, "interpreting-goals"], [57, "id17"]], "Boolean reflection": [[57, "boolean-reflection"]], "The reflect predicate": [[57, "the-reflect-predicate"]], "General mechanism for interpreting goals and assumptions": [[57, "general-mechanism-for-interpreting-goals-and-assumptions"]], "Interpreting equivalences": [[57, "interpreting-equivalences"]], "Declaring new Hint Views": [[57, "declaring-new-hint-views"]], "Multiple views": [[57, "multiple-views"]], "Additional view shortcuts": [[57, "additional-view-shortcuts"]], "Synopsis and Index": [[57, "synopsis-and-index"]], "Parameters": [[57, "parameters"]], "Items and switches": [[57, "items-and-switches"]], "Tacticals": [[57, "tacticals"]], "Common elements of tactics": [[58, "common-elements-of-tactics"]], "Reserved keywords": [[58, "reserved-keywords"]], "Invocation of tactics": [[58, "invocation-of-tactics"]], "Bindings": [[58, "bindings"]], "Example: intro pattern for /\\": [[58, null]], "Example: intro pattern for \\/": [[58, null]], "Example: -> intro pattern": [[58, null]], "Example: [=] intro pattern": [[58, null]], "Example: (A & B & \u2026) intro pattern": [[58, null]], "Example: * intro pattern": [[58, null]], "Example: ** pattern (\"intros **\" is equivalent to \"intros\")": [[58, null]], "Example: compound intro pattern": [[58, null]], "Example: combined intro pattern using [=] -> and %": [[58, null]], "Occurrence clauses": [[58, "occurrence-clauses"]], "Applying theorems": [[58, "applying-theorems"]], "Example: Backward reasoning in the goal with apply": [[58, "apply-backward"]], "Example: Backward reasoning in the goal with apply including a premise": [[58, "apply-backward-w-premises"]], "Example: Forward reasoning in hypotheses with apply": [[58, "apply-forward"]], "Example: Apply a theorem with a binding in a goal": [[58, "apply-with-binding-goal"]], "Example: Apply a theorem with a binding in a hypothesis": [[58, "apply-with-binding-hyp"]], "Example: Applying theorems with <->": [[58, "apply-with-iff"]], "Example: Special case of second-order unification in apply": [[58, "example-apply-pattern"]], "Managing the local context": [[58, "managing-the-local-context"]], "Example: intro and intros": [[58, "intro-examples"]], "Example: intros until": [[58, null]], "Example: move": [[58, null]], "Example: set with a simple_binder": [[58, null]], "Controlling the proof flow": [[58, "controlling-the-proof-flow"]], "Example: partial application in specialize": [[58, null]], "Example: specialize with a non-dependent product": [[58, null]], "Example: contradiction tactic": [[58, null]], "Classical tactics": [[58, "classical-tactics"]], "Performance-oriented tactic variants": [[58, "performance-oriented-tactic-variants"]], "Displaying": [[59, "displaying"]], "Query commands": [[59, "query-commands"]], "Example: Searching for a pattern": [[59, "search-pattern"]], "Example: Searching for part of an identifier": [[59, "search-part-ident"]], "Example: Searching for a reference by notation": [[59, "search-by-notation"]], "Example: Disambiguating between part of identifier and notation": [[59, "search-disambiguate-notation"]], "Example: Search in hypotheses": [[59, "search-hyp"]], "Example: Search in conclusion": [[59, "search-concl"]], "Example: Search by keyword or status": [[59, "search-by-keyword"]], "Example: SearchPattern examples": [[59, null]], "Example: SearchRewrite examples": [[59, null]], "Requests to the environment": [[59, "requests-to-the-environment"]], "Example: Locate examples": [[59, null]], "Printing flags": [[59, "printing-flags"]], "Loading files": [[59, "loading-files"]], "Compiled files": [[59, "compiled-files"]], "Load paths": [[59, "load-paths"]], "Extra Dependencies": [[59, "extra-dependencies"]], "Quitting and debugging": [[59, "quitting-and-debugging"]], "Controlling display": [[59, "controlling-display"]], "Printing constructions in full": [[59, "printing-constructions-in-full"]], "Controlling Typing Flags": [[59, "controlling-typing-flags"]], "Internal registration commands": [[59, "internal-registration-commands"]], "Exposing constants to OCaml libraries": [[59, "exposing-constants-to-ocaml-libraries"]], "Inlining hints for the fast reduction machines": [[59, "inlining-hints-for-the-fast-reduction-machines"]], "Registering primitive operations": [[59, "registering-primitive-operations"]], "Programmable proof search": [[60, "programmable-proof-search"]], "Example: Ackermann function": [[60, null]], "Example: MacCarthy function": [[60, null]], "Hint databases": [[60, "hint-databases"]], "Creating hint databases": [[60, "creating-hint-databases"]], "Hint databases defined in the Rocq standard library": [[60, "hint-databases-defined-in-the-rocq-standard-library"]], "Creating Hints": [[60, "creating-hints"]], "Example: Logic programming with addition on natural numbers": [[60, null]], "Hint locality": [[60, "hint-locality"]], "Setting implicit automation tactics": [[60, "setting-implicit-automation-tactics"]], "Automatic solvers and programmable tactics": [[61, "automatic-solvers-and-programmable-tactics"]], "Solvers for logic and equality": [[62, "solvers-for-logic-and-equality"]], "Creating new tactics": [[63, "creating-new-tactics"]], "Reasoning with equalities": [[64, "reasoning-with-equalities"]], "Tactics for simple equalities": [[64, "tactics-for-simple-equalities"]], "Rewriting with Leibniz and setoid equality": [[64, "rewriting-with-leibniz-and-setoid-equality"]], "Rewriting with definitional equality": [[64, "rewriting-with-definitional-equality"]], "Applying conversion rules": [[64, "applying-conversion-rules"]], "Example: fold doesn't always undo unfold": [[64, null]], "Example: Use fold to reverse unfolding of fold_right": [[64, null]], "Fast reduction tactics: vm_compute and native_compute": [[64, "fast-reduction-tactics-vm-compute-and-native-compute"]], "Computing in a term: eval and Eval": [[64, "computing-in-a-term-eval-and-eval"]], "Controlling reduction strategies and the conversion algorithm": [[64, "controlling-reduction-strategies-and-the-conversion-algorithm"]], "Basic proof writing": [[65, "basic-proof-writing"]], "Proof mode": [[66, "proof-mode"]], "Proof State": [[66, "proof-state"]], "Entering and exiting proof mode": [[66, "entering-and-exiting-proof-mode"]], "Example: Declaring section variables": [[66, null]], "Proof using options": [[66, "proof-using-options"]], "Name a set of section hypotheses for Proof using": [[66, "name-a-set-of-section-hypotheses-for-proof-using"]], "Proof modes": [[66, "proof-modes"]], "Managing goals": [[66, "managing-goals"]], "Focusing goals": [[66, "focusing-goals"]], "Curly braces": [[66, "curly-braces"]], "Example: Working with named goals": [[66, null]], "Bullets": [[66, "bullets"]], "Example: Use of bullets": [[66, null]], "Other focusing commands": [[66, "other-focusing-commands"]], "Shelving goals": [[66, "shelving-goals"]], "Example: shelve_unifiable": [[66, null]], "Reordering goals": [[66, "reordering-goals"]], "Example: cycle": [[66, null]], "Example: swap": [[66, null]], "Example: revgoals": [[66, null]], "Proving a subgoal as a separate lemma: abstract": [[66, "proving-a-subgoal-as-a-separate-lemma-abstract"]], "Requesting information": [[66, "requesting-information"]], "Showing differences between proof steps": [[66, "showing-differences-between-proof-steps"]], "How to enable diffs": [[66, "how-to-enable-diffs"]], "How diffs are calculated": [[66, "how-diffs-are-calculated"]], "\"Show Proof\" differences": [[66, "show-proof-differences"]], "Delaying solving unification constraints": [[66, "delaying-solving-unification-constraints"]], "Proof maintenance": [[66, "proof-maintenance"]], "Controlling proof mode": [[66, "controlling-proof-mode"]], "Controlling memory usage": [[66, "controlling-memory-usage"]], "Reasoning with inductive types": [[67, "reasoning-with-inductive-types"]], "Applying constructors": [[67, "applying-constructors"]], "Example: constructor, left and right": [[67, null]], "Case analysis": [[67, "case-analysis"]], "Example: Using destruct on an argument with premises": [[67, "example-destruct-ind-concl"]], "Induction": [[67, "induction"]], "Example: induction with occurrences": [[67, null]], "Equality of inductive types": [[67, "equality-of-inductive-types"]], "Example: Proving 1 <> 2": [[67, null]], "Example: discriminate limitation: proving n <> S n": [[67, null]], "Example: inversion with as or_and_intropattern": [[67, null]], "Example: Non-dependent inversion": [[67, null]], "Example: Dependent inversion": [[67, null]], "Example: Using inversion_sigma": [[67, null]], "Helper tactics": [[67, "helper-tactics"]], "Example: Using decide to rewrite the goal": [[67, null]], "Generation of induction principles with Scheme": [[67, "generation-of-induction-principles-with-scheme"]], "Example: Induction scheme for tree and forest": [[67, null]], "Example: Predicates odd and even on naturals": [[67, null]], "Example: Scheme commands with various scheme_types": [[67, null]], "Automatic declaration of schemes": [[67, "automatic-declaration-of-schemes"]], "Combined Scheme": [[67, "combined-scheme"]], "Generation of inversion principles with Derive Inversion": [[67, "generation-of-inversion-principles-with-derive-inversion"]], "Examples of dependent destruction / dependent induction": [[67, "examples-of-dependent-destruction-dependent-induction"]], "A larger example": [[67, "a-larger-example"]], "Glossary index": [[69, "glossary-index"]], "Syntax extensions and notation scopes": [[71, "syntax-extensions-and-notation-scopes"]], "Basic notations": [[71, "basic-notations"]], "Precedences and associativity": [[71, "precedences-and-associativity"]], "Complex notations": [[71, "complex-notations"]], "Simple factorization rules": [[71, "simple-factorization-rules"]], "Use of notations for printing": [[71, "use-of-notations-for-printing"]], "The Infix command": [[71, "the-infix-command"]], "Reserving notations": [[71, "reserving-notations"]], "Simultaneous definition of terms and notations": [[71, "simultaneous-definition-of-terms-and-notations"]], "Enabling and disabling notations": [[71, "enabling-and-disabling-notations"]], "Example: Enabling and disabling notations": [[71, null]], "Displaying information about notations": [[71, "displaying-information-about-notations"]], "Example: Print Notation": [[71, null]], "Locating notations": [[71, "locating-notations"]], "Inheritance of the properties of arguments of constants bound to a notation": [[71, "inheritance-of-the-properties-of-arguments-of-constants-bound-to-a-notation"]], "Notations and binders": [[71, "notations-and-binders"]], "Binders bound in the notation and parsed as identifiers": [[71, "binders-bound-in-the-notation-and-parsed-as-identifiers"]], "Binders bound in the notation and parsed as patterns": [[71, "binders-bound-in-the-notation-and-parsed-as-patterns"]], "Binders bound in the notation and parsed as terms": [[71, "binders-bound-in-the-notation-and-parsed-as-terms"]], "Binders bound in the notation and parsed as general binders": [[71, "binders-bound-in-the-notation-and-parsed-as-general-binders"]], "Binders not bound in the notation": [[71, "binders-not-bound-in-the-notation"]], "Notations with expressions used both as binder and term": [[71, "notations-with-expressions-used-both-as-binder-and-term"]], "Notations with recursive patterns": [[71, "notations-with-recursive-patterns"]], "Notations with recursive patterns involving binders": [[71, "notations-with-recursive-patterns-involving-binders"]], "Predefined entries": [[71, "predefined-entries"]], "Custom entries": [[71, "custom-entries"]], "Notation scopes": [[71, "notation-scopes"]], "Global interpretation rules for notations": [[71, "global-interpretation-rules-for-notations"]], "Local interpretation rules for notations": [[71, "local-interpretation-rules-for-notations"]], "Opening a notation scope locally": [[71, "opening-a-notation-scope-locally"]], "Binding types or coercion classes to notation scopes": [[71, "binding-types-or-coercion-classes-to-notation-scopes"]], "Example: Binding scopes to a type": [[71, null]], "The type_scope notation scope": [[71, "the-type-scope-notation-scope"]], "The function_scope notation scope": [[71, "the-function-scope-notation-scope"]], "Notation scopes used in the standard library of Rocq": [[71, "notation-scopes-used-in-the-standard-library-of-rocq"]], "Displaying information about scopes": [[71, "displaying-information-about-scopes"]], "Numbers and strings": [[71, "numbers-and-strings"]], "Number notations": [[71, "number-notations"]], "String notations": [[71, "string-notations"]], "Example: Number Notation for radix 3": [[71, null]], "Example: Number Notation for primitive integers": [[71, "example-number-notation-primitive-int"]], "Example: Number Notation for a non-inductive type": [[71, "example-number-notation-non-inductive"]], "Example: Number Notation with implicit arguments": [[71, "example-number-notation-implicit-args"]], "Example: String Notation with a parameterized inductive type": [[71, "example-string-notation-parameterized-inductive"]], "Tactic Notations": [[71, "tactic-notations"]], "Functional induction": [[72, "functional-induction"]], "Advanced recursive functions": [[72, "advanced-recursive-functions"]], "Generation of induction principles with Functional Scheme": [[72, "generation-of-induction-principles-with-functional-scheme"]], "Libraries and plugins": [[73, "libraries-and-plugins"]], "Writing Rocq libraries and plugins": [[74, "writing-rocq-libraries-and-plugins"]], "Deprecating library objects, tactics or library files": [[74, "deprecating-library-objects-tactics-or-library-files"]], "Triggering warning for library objects or library files": [[74, "triggering-warning-for-library-objects-or-library-files"]], "Example: Deprecating a tactic.": [[74, null]], "Example: Introducing a compatibility alias": [[74, "compatibility-alias"]], "Documenting Rocq files with rocq doc": [[75, "documenting-rocq-files-with-rocq-doc"]], "Principles": [[75, "principles"]], "Rocq material inside documentation.": [[75, "rocq-material-inside-documentation"]], "Pretty-printing.": [[75, "pretty-printing"]], "Lists.": [[75, "lists"]], "Rules.": [[75, "rules"]], "Emphasis.": [[75, "emphasis"]], "Escaping to LaTeX and HTML.": [[75, "escaping-to-latex-and-html"]], "Verbatim": [[75, "verbatim"]], "Hyperlinks": [[75, "hyperlinks"]], "Hiding / Showing parts of the source": [[75, "hiding-showing-parts-of-the-source"]], "The rocq doc LaTeX style file": [[75, "the-rocq-doc-latex-style-file"]], "Command-line and graphical tools": [[76, "command-line-and-graphical-tools"]], "Bibliography": [[77, "bibliography"]]}, "indexentries": {"cd (command)": [[2, "coq:cmd.Cd"]], "extract callback (command)": [[2, "coq:cmd.Extract-Callback"]], "extract callback is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction"]], "extract constant (command)": [[2, "coq:cmd.Extract-Constant"]], "extract foreign constant (command)": [[2, "coq:cmd.Extract-Foreign-Constant"]], "extract foreign constant is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction"]], "extract foreign constant is supported only for functions (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions"]], "extract inductive (command)": [[2, "coq:cmd.Extract-Inductive"]], "extract inlined constant (command)": [[2, "coq:cmd.Extract-Inlined-Constant"]], "extraction (command)": [[2, "coq:cmd.Extraction"]], "extraction autoinline (flag)": [[2, "coq:flag.Extraction-AutoInline"]], "extraction blacklist (command)": [[2, "coq:cmd.Extraction-Blacklist"]], "extraction conservative types (flag)": [[2, "coq:flag.Extraction-Conservative-Types"]], "extraction file comment (option)": [[2, "coq:opt.Extraction-File-Comment"]], "extraction flag (option)": [[2, "coq:opt.Extraction-Flag"]], "extraction implicit (command)": [[2, "coq:cmd.Extraction-Implicit"]], "extraction inline (command)": [[2, "coq:cmd.Extraction-Inline"]], "extraction keepsingleton (flag)": [[2, "coq:flag.Extraction-KeepSingleton"]], "extraction language (command)": [[2, "coq:cmd.Extraction-Language"]], "extraction library (command)": [[2, "coq:cmd.Extraction-Library"]], "extraction noinline (command)": [[2, "coq:cmd.Extraction-NoInline"]], "extraction optimize (flag)": [[2, "coq:flag.Extraction-Optimize"]], "extraction output directory (option)": [[2, "coq:opt.Extraction-Output-Directory"]], "extraction safeimplicits (flag)": [[2, "coq:flag.Extraction-SafeImplicits"]], "extraction testcompile (command)": [[2, "coq:cmd.Extraction-TestCompile"]], "extraction typeexpand (flag)": [[2, "coq:flag.Extraction-TypeExpand"]], "print extraction blacklist (command)": [[2, "coq:cmd.Print-Extraction-Blacklist"]], "print extraction callback (command)": [[2, "coq:cmd.Print-Extraction-Callback"]], "print extraction foreign (command)": [[2, "coq:cmd.Print-Extraction-Foreign"]], "print extraction inline (command)": [[2, "coq:cmd.Print-Extraction-Inline"]], "pwd (command)": [[2, "coq:cmd.Pwd"]], "recursive extraction (command)": [[2, "coq:cmd.Recursive-Extraction"]], "recursive extraction library (command)": [[2, "coq:cmd.Recursive-Extraction-Library"]], "reset extraction blacklist (command)": [[2, "coq:cmd.Reset-Extraction-Blacklist"]], "reset extraction callback (command)": [[2, "coq:cmd.Reset-Extraction-Callback"]], "reset extraction inline (command)": [[2, "coq:cmd.Reset-Extraction-Inline"]], "separate extraction (command)": [[2, "coq:cmd.Separate-Extraction"]], "show extraction (command)": [[2, "coq:cmd.Show-Extraction"]], "the term \u2018qualid\u2019 is already defined as foreign custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant"]], "the term \u2018qualid\u2019 is already defined as inline custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant"]], "add morphism (command)": [[3, "coq:cmd.Add-Morphism"]], "add parametric morphism (command)": [[3, "coq:cmd.Add-Parametric-Morphism"]], "add parametric relation (command)": [[3, "coq:cmd.Add-Parametric-Relation"]], "add parametric setoid (command)": [[3, "coq:cmd.Add-Parametric-Setoid"]], "add relation (command)": [[3, "coq:cmd.Add-Relation"]], "add setoid (command)": [[3, "coq:cmd.Add-Setoid"]], "declare morphism (command)": [[3, "coq:cmd.Declare-Morphism"]], "no progress made (error)": [[3, "coq:exn.No-progress-made"]], "nothing to rewrite (error)": [[3, "coq:exn.Nothing-to-rewrite"]], "unable to satisfy the rewriting constraints (error)": [[3, "coq:exn.Unable-to-satisfy-the-rewriting-constraints"]], "head_of_constr (tactic)": [[3, "coq:tacn.head_of_constr"]], "rewrite_db (tactic)": [[3, "coq:tacn.rewrite_db"]], "rewrite_strat (tactic)": [[3, "coq:tacn.rewrite_strat"]], "setoid_etransitivity (tactic)": [[3, "coq:tacn.setoid_etransitivity"]], "setoid_reflexivity (tactic)": [[3, "coq:tacn.setoid_reflexivity"]], "setoid_replace (tactic)": [[3, "coq:tacn.setoid_replace"]], "setoid_rewrite (tactic)": [[3, "coq:tacn.setoid_rewrite"]], "setoid_symmetry (tactic)": [[3, "coq:tacn.setoid_symmetry"]], "setoid_transitivity (tactic)": [[3, "coq:tacn.setoid_transitivity"]], "... is not definitionally an identity function (warning)": [[4, "coq:warn....-is-not-definitionally-an-identity-function"]], ":> (coercion)": [[4, "index-0"]], "cannot find the source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019"]], "cannot find the target class (error)": [[4, "coq:exn.Cannot-find-the-target-class"]], "cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019"]], "coercion (command)": [[4, "coq:cmd.Coercion"]], "found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019 (error)": [[4, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019"]], "funclass cannot be a source class (error)": [[4, "coq:exn.Funclass-cannot-be-a-source-class"]], "identity coercion (command)": [[4, "coq:cmd.Identity-Coercion"]], "new coercion path ... is ambiguous with existing ... (warning)": [[4, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-..."]], "print classes (command)": [[4, "coq:cmd.Print-Classes"]], "print coercion paths (command)": [[4, "coq:cmd.Print-Coercion-Paths"]], "print coercions (command)": [[4, "coq:cmd.Print-Coercions"]], "print graph (command)": [[4, "coq:cmd.Print-Graph"]], "printing coercion (table)": [[4, "coq:table.Printing-Coercion"]], "printing coercions (flag)": [[4, "coq:flag.Printing-Coercions"]], "subclass (command)": [[4, "coq:cmd.SubClass"]], "nonuniform (attribute)": [[4, "coq:attr.nonuniform"]], "reversible (attribute)": [[4, "coq:attr.reversible"]], "\u2018coercion_class\u2019 must be a transparent constant (error)": [[4, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant"]], "\u2018qualid\u2019 does not respect the uniform inheritance condition (warning)": [[4, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition"]], "\u2018qualid\u2019 is already a coercion (error)": [[4, "coq:exn.\u2018qualid\u2019-is-already-a-coercion"]], "\u2018qualid\u2019 is not a function (error)": [[4, "coq:exn.\u2018qualid\u2019-is-not-a-function"]], "\u2018qualid\u2019 not declared (error)": [[4, "coq:exn.\u2018qualid\u2019-not-declared"]], "add zify (command)": [[5, "coq:cmd.Add-Zify"]], "bound on the ceiling function (theorem)": [[5, "coq:thm.Bound-on-the-ceiling-function"]], "case split (theorem)": [[5, "coq:thm.Case-split"]], "dump arith (option)": [[5, "coq:opt.Dump-Arith"]], "info micromega (flag)": [[5, "coq:flag.Info-Micromega"]], "lia cache (flag)": [[5, "coq:flag.Lia-Cache"]], "nia cache (flag)": [[5, "coq:flag.Nia-Cache"]], "nra cache (flag)": [[5, "coq:flag.Nra-Cache"]], "psatz (theorem)": [[5, "coq:thm.Psatz"]], "show lia profile (command)": [[5, "coq:cmd.Show-Lia-Profile"]], "show zify (command)": [[5, "coq:cmd.Show-Zify"]], "lia (tactic)": [[5, "coq:tacn.lia"]], "lra (tactic)": [[5, "coq:tacn.lra"]], "nia (tactic)": [[5, "coq:tacn.nia"]], "nra (tactic)": [[5, "coq:tacn.nra"]], "psatz (tactic)": [[5, "coq:tacn.psatz"]], "wlia (tactic)": [[5, "coq:tacn.wlia"]], "wlra_q (tactic)": [[5, "coq:tacn.wlra_Q"]], "wnia (tactic)": [[5, "coq:tacn.wnia"]], "wnra_q (tactic)": [[5, "coq:tacn.wnra_Q"]], "wpsatz_q (tactic)": [[5, "coq:tacn.wpsatz_Q"]], "wpsatz_z (tactic)": [[5, "coq:tacn.wpsatz_Z"]], "wsos_q (tactic)": [[5, "coq:tacn.wsos_Q"]], "wsos_z (tactic)": [[5, "coq:tacn.wsos_Z"]], "xlia (tactic)": [[5, "coq:tacn.xlia"]], "xlra_q (tactic)": [[5, "coq:tacn.xlra_Q"]], "xlra_r (tactic)": [[5, "coq:tacn.xlra_R"]], "xnia (tactic)": [[5, "coq:tacn.xnia"]], "xnra_q (tactic)": [[5, "coq:tacn.xnra_Q"]], "xnra_r (tactic)": [[5, "coq:tacn.xnra_R"]], "xpsatz_q (tactic)": [[5, "coq:tacn.xpsatz_Q"]], "xpsatz_r (tactic)": [[5, "coq:tacn.xpsatz_R"]], "xpsatz_z (tactic)": [[5, "coq:tacn.xpsatz_Z"]], "xsos_q (tactic)": [[5, "coq:tacn.xsos_Q"]], "xsos_r (tactic)": [[5, "coq:tacn.xsos_R"]], "xsos_z (tactic)": [[5, "coq:tacn.xsos_Z"]], "zify (tactic)": [[5, "coq:tacn.zify"]], "zify_elim_let (tactic)": [[5, "coq:tacn.zify_elim_let"]], "zify_iter_let (tactic)": [[5, "coq:tacn.zify_iter_let"]], "zify_iter_specs (tactic)": [[5, "coq:tacn.zify_iter_specs"]], "zify_op (tactic)": [[5, "coq:tacn.zify_op"]], "zify_saturate (tactic)": [[5, "coq:tacn.zify_saturate"]], "derive (command)": [[6, "coq:cmd.Derive"]], "nsatz (tactic)": [[7, "coq:tacn.nsatz"]], "nsatz_compute (tactic)": [[7, "coq:tacn.nsatz_compute"]], "admit obligations (command)": [[9, "coq:cmd.Admit-Obligations"]], "final obligation (command)": [[9, "coq:cmd.Final-Obligation"]], "ill-formed recursive definition (error)": [[9, "coq:exn.Ill-formed-recursive-definition"]], "next obligation (command)": [[9, "coq:cmd.Next-Obligation"]], "non extensible universe declaration not supported with monomorphic program definition (error)": [[9, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition"]], "obligation (command)": [[9, "coq:cmd.Obligation"]], "obligation tactic (command)": [[9, "coq:cmd.Obligation-Tactic"]], "obligations (command)": [[9, "coq:cmd.Obligations"]], "preterm (command)": [[9, "coq:cmd.Preterm"]], "program (attribute)": [[9, "coq:attr.Program"], [9, "coq:attr.program"]], "program cases (flag)": [[9, "coq:flag.Program-Cases"]], "program generalized coercion (flag)": [[9, "coq:flag.Program-Generalized-Coercion"]], "program mode (flag)": [[9, "coq:flag.Program-Mode"]], "show obligation tactic (command)": [[9, "coq:cmd.Show-Obligation-Tactic"]], "solve all obligations (command)": [[9, "coq:cmd.Solve-All-Obligations"]], "solve obligations (command)": [[9, "coq:cmd.Solve-Obligations"]], "transparent obligations (flag)": [[9, "coq:flag.Transparent-Obligations"]], "rewrite rule (command)": [[10, "coq:cmd.Rewrite-Rule"]], "rewrite rules (command)": [[10, "coq:cmd.Rewrite-Rules"]], "rewrite rule declaration requires passing the flag \"-allow-rewrite-rules\" (error)": [[10, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\""]], "symbol (command)": [[10, "coq:cmd.Symbol"]], "symbols (command)": [[10, "coq:cmd.Symbols"]], "add field (command)": [[11, "coq:cmd.Add-Field"]], "add ring (command)": [[11, "coq:cmd.Add-Ring"]], "arguments of ring_simplify do not have all the same type (error)": [[11, "coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type"]], "bad lemma for decidability of equality (error)": [[11, "coq:exn.Bad-lemma-for-decidability-of-equality"]], "bad ring structure (error)": [[11, "coq:exn.Bad-ring-structure"]], "cannot find a declared ring structure for equality \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019"]], "cannot find a declared ring structure over \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019"]], "not a valid ring equation (error)": [[11, "coq:exn.Not-a-valid-ring-equation"]], "print fields (command)": [[11, "coq:cmd.Print-Fields"]], "print rings (command)": [[11, "coq:cmd.Print-Rings"]], "ring operation should be declared as a morphism (error)": [[11, "coq:exn.Ring-operation-should-be-declared-as-a-morphism"]], "field (tactic)": [[11, "coq:tacn.field"]], "field_lookup (tactic)": [[11, "coq:tacn.field_lookup"]], "field_simplify (tactic)": [[11, "coq:tacn.field_simplify"]], "field_simplify_eq (tactic)": [[11, "coq:tacn.field_simplify_eq"]], "protect_fv (tactic)": [[11, "coq:tacn.protect_fv"]], "ring (tactic)": [[11, "coq:tacn.ring"]], "ring_lookup (tactic)": [[11, "coq:tacn.ring_lookup"]], "ring_simplify (tactic)": [[11, "coq:tacn.ring_simplify"]], "allow strictprop (flag)": [[12, "coq:flag.Allow-StrictProp"]], "bad relevance (warning)": [[12, "coq:warn.Bad-relevance"]], "definitional uip (flag)": [[12, "coq:flag.Definitional-UIP"]], "printing relevance marks (flag)": [[12, "coq:flag.Printing-Relevance-Marks"]], "sprop is disallowed because the \"allow strictprop\" flag is off (error)": [[12, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off"]], ":: (substructure)": [[13, "index-0"]], "class (command)": [[13, "coq:cmd.Class"]], "declare instance (command)": [[13, "coq:cmd.Declare-Instance"]], "existing class (command)": [[13, "coq:cmd.Existing-Class"]], "existing instance (command)": [[13, "coq:cmd.Existing-Instance"]], "existing instances (command)": [[13, "coq:cmd.Existing-Instances"]], "ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class (warning)": [[13, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class"]], "instance (command)": [[13, "coq:cmd.Instance"]], "print instances (command)": [[13, "coq:cmd.Print-Instances"]], "print typeclasses (command)": [[13, "coq:cmd.Print-Typeclasses"]], "typeclass resolution for conversion (flag)": [[13, "coq:flag.Typeclass-Resolution-For-Conversion"]], "typeclasses debug (flag)": [[13, "coq:flag.Typeclasses-Debug"]], "typeclasses debug verbosity (option)": [[13, "coq:opt.Typeclasses-Debug-Verbosity"]], "typeclasses default mode (option)": [[13, "coq:opt.Typeclasses-Default-Mode"]], "typeclasses dependency order (flag)": [[13, "coq:flag.Typeclasses-Dependency-Order"]], "typeclasses depth (option)": [[13, "coq:opt.Typeclasses-Depth"]], "typeclasses iterative deepening (flag)": [[13, "coq:flag.Typeclasses-Iterative-Deepening"]], "typeclasses limit intros (flag)": [[13, "coq:flag.Typeclasses-Limit-Intros"]], "typeclasses opaque (command)": [[13, "coq:cmd.Typeclasses-Opaque"]], "typeclasses strict resolution (flag)": [[13, "coq:flag.Typeclasses-Strict-Resolution"]], "typeclasses transparent (command)": [[13, "coq:cmd.Typeclasses-Transparent"]], "typeclasses unique instances (flag)": [[13, "coq:flag.Typeclasses-Unique-Instances"]], "typeclasses unique solutions (flag)": [[13, "coq:flag.Typeclasses-Unique-Solutions"]], "typeclasses eauto (command)": [[13, "coq:cmd.Typeclasses-eauto"]], "using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d (warning)": [[13, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d"]], "autoapply (tactic)": [[13, "coq:tacn.autoapply"]], "mode (attribute)": [[13, "coq:attr.mode"]], "refine (attribute)": [[13, "coq:attr.refine"]], "typeclasses eauto (tactic)": [[13, "coq:tacn.typeclasses-eauto"]], "\u2018ident\u2019 is already declared as a typeclass (warning)": [[13, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass"]], "constraint (command)": [[14, "coq:cmd.Constraint"]], "cumulative (attribute)": [[14, "coq:attr.Cumulative"]], "cumulativity weak constraints (flag)": [[14, "coq:flag.Cumulativity-Weak-Constraints"]], "monomorphic (attribute)": [[14, "coq:attr.Monomorphic"]], "noncumulative (attribute)": [[14, "coq:attr.NonCumulative"]], "polymorphic (attribute)": [[14, "coq:attr.Polymorphic"]], "polymorphic inductive cumulativity (flag)": [[14, "coq:flag.Polymorphic-Inductive-Cumulativity"]], "polymorphic universe constraints can only be declared inside sections, use monomorphic constraint instead (error)": [[14, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead"]], "polymorphic universes can only be declared inside sections, use monomorphic universe instead (error)": [[14, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead"]], "print universes (command)": [[14, "coq:cmd.Print-Universes"]], "printing universes (flag)": [[14, "coq:flag.Printing-Universes"]], "private polymorphic universes (flag)": [[14, "coq:flag.Private-Polymorphic-Universes"]], "strict universe declaration (flag)": [[14, "coq:flag.Strict-Universe-Declaration"]], "the cumulative attribute can only be used in a polymorphic context (error)": [[14, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context"]], "undeclared universe \u2018ident\u2019 (error)": [[14, "coq:exn.Undeclared-universe-\u2018ident\u2019"]], "universe (command)": [[14, "coq:cmd.Universe"]], "universe minimization toset (flag)": [[14, "coq:flag.Universe-Minimization-ToSet"]], "universe polymorphism (flag)": [[14, "coq:flag.Universe-Polymorphism"]], "universe inconsistency (error)": [[14, "coq:exn.Universe-inconsistency"]], "universes (command)": [[14, "coq:cmd.Universes"]], "universes(cumulative) (attribute)": [[14, "coq:attr.universes(cumulative)"]], "universes(polymorphic) (attribute)": [[14, "coq:attr.universes(polymorphic)"]], "* (term)": [[27, "index-9"]], "+ (term)": [[27, "index-9"]], "a*b (term)": [[27, "index-9"]], "a+b (term)": [[27, "index-9"]], "a+{b} (term)": [[27, "index-13"]], "acc (term)": [[27, "index-20"]], "acc_inv (term)": [[27, "index-20"]], "acc_rect (term)": [[27, "index-20"]], "choice (term)": [[27, "index-14"]], "choice2 (term)": [[27, "index-14"]], "connectives": [[27, "index-1"]], "datatypes": [[27, "index-7"]], "equality": [[27, "index-4"]], "exc (term)": [[27, "index-15"]], "false (term)": [[27, "index-1"], [27, "index-8"]], "false_rec (term)": [[27, "index-16"]], "false_rect (term)": [[27, "index-16"]], "fix_f (term)": [[27, "index-21"]], "fix_f_eq (term)": [[27, "index-21"]], "fix_f_inv (term)": [[27, "index-21"]], "fix_eq (term)": [[27, "index-21"]], "i (term)": [[27, "index-1"]], "issucc (term)": [[27, "index-17"]], "none (term)": [[27, "index-8"]], "o (term)": [[27, "index-8"]], "o_s (term)": [[27, "index-17"]], "programming": [[27, "index-8"]], "quantifiers": [[27, "index-3"]], "recursion": [[27, "index-20"]], "s (term)": [[27, "index-8"]], "some (term)": [[27, "index-8"]], "theories": [[27, "index-0"]], "true (term)": [[27, "index-1"], [27, "index-8"]], "well founded induction": [[27, "index-20"]], "well foundedness": [[27, "index-20"]], "absurd (term)": [[27, "index-5"]], "absurd_set (term)": [[27, "index-16"]], "all (term)": [[27, "index-3"]], "and (term)": [[27, "index-1"]], "and_rect (term)": [[27, "index-16"]], "bool (term)": [[27, "index-8"]], "bool_choice (term)": [[27, "index-14"]], "conj (term)": [[27, "index-1"]], "eq (term)": [[27, "index-4"]], "eq_s (term)": [[27, "index-17"]], "eq_add_s (term)": [[27, "index-17"]], "eq_ind_r (term)": [[27, "index-5"]], "eq_rec_r (term)": [[27, "index-5"]], "eq_rect (term)": [[27, "index-16"], [27, "index-5"]], "eq_rect_r (term)": [[27, "index-5"]], "eq_refl (term)": [[27, "index-4"]], "eq_sym (term)": [[27, "index-5"]], "eq_trans (term)": [[27, "index-5"]], "error (term)": [[27, "index-15"]], "ex (term)": [[27, "index-3"]], "ex2 (term)": [[27, "index-3"]], "ex_intro (term)": [[27, "index-3"]], "ex_intro2 (term)": [[27, "index-3"]], "exist (term)": [[27, "index-10"]], "exist2 (term)": [[27, "index-10"]], "existt (term)": [[27, "index-11"]], "existt2 (term)": [[27, "index-11"]], "exists (term)": [[27, "index-3"]], "exists2 (term)": [[27, "index-3"]], "f_equal (term)": [[27, "index-5"]], "f_equal2 ... f_equal5 (term)": [[27, "index-6"]], "fst (term)": [[27, "index-9"]], "ge (term)": [[27, "index-18"]], "gt (term)": [[27, "index-18"]], "identity (term)": [[27, "index-8"]], "iff (term)": [[27, "index-1"]], "inl (term)": [[27, "index-9"]], "inleft (term)": [[27, "index-13"]], "inr (term)": [[27, "index-9"]], "inright (term)": [[27, "index-13"]], "le (term)": [[27, "index-18"]], "le_s (term)": [[27, "index-18"]], "le_n (term)": [[27, "index-18"]], "left (term)": [[27, "index-12"]], "lt (term)": [[27, "index-18"]], "mult (term)": [[27, "index-17"]], "mult_n_o (term)": [[27, "index-17"]], "mult_n_sm (term)": [[27, "index-17"]], "n_sn (term)": [[27, "index-17"]], "nat (term)": [[27, "index-8"]], "nat_case (term)": [[27, "index-19"]], "nat_double_ind (term)": [[27, "index-19"]], "not (term)": [[27, "index-1"]], "nott (term)": [[27, "index-2"]], "not_eq_s (term)": [[27, "index-17"]], "option (term)": [[27, "index-8"]], "or (term)": [[27, "index-1"]], "or_introl (term)": [[27, "index-1"]], "or_intror (term)": [[27, "index-1"]], "pair (term)": [[27, "index-9"]], "plus (term)": [[27, "index-17"]], "plus_n_o (term)": [[27, "index-17"]], "plus_n_sm (term)": [[27, "index-17"]], "pred (term)": [[27, "index-17"]], "pred_sn (term)": [[27, "index-17"]], "prod (term)": [[27, "index-9"]], "proj1 (term)": [[27, "index-1"]], "proj2 (term)": [[27, "index-1"]], "projt1 (term)": [[27, "index-11"]], "projt2 (term)": [[27, "index-11"]], "refl_identity (term)": [[27, "index-8"]], "right (term)": [[27, "index-12"]], "sig (term)": [[27, "index-10"]], "sig2 (term)": [[27, "index-10"]], "sigt (term)": [[27, "index-11"]], "sigt2 (term)": [[27, "index-11"]], "snd (term)": [[27, "index-9"]], "sum (term)": [[27, "index-9"]], "sumbool (term)": [[27, "index-12"]], "sumor (term)": [[27, "index-13"]], "sym_not_eq (term)": [[27, "index-5"]], "tt (term)": [[27, "index-8"]], "unit (term)": [[27, "index-8"]], "value (term)": [[27, "index-15"]], "well_founded (term)": [[27, "index-20"]], "{a}+{b} (term)": [[27, "index-12"]], "{x:a & p x} (term)": [[27, "index-11"]], "{x:a | p x} (term)": [[27, "index-10"]], "axiom (command)": [[28, "coq:cmd.Axiom"]], "axioms (command)": [[28, "coq:cmd.Axioms"]], "conjecture (command)": [[28, "coq:cmd.Conjecture"]], "conjectures (command)": [[28, "coq:cmd.Conjectures"]], "hypotheses (command)": [[28, "coq:cmd.Hypotheses"]], "hypothesis (command)": [[28, "coq:cmd.Hypothesis"]], "parameter (command)": [[28, "coq:cmd.Parameter"]], "parameters (command)": [[28, "coq:cmd.Parameters"]], "use of \"variable\" or \"hypothesis\" outside sections behaves as \"#[local] parameter\" or \"#[local] axiom\" (warning)": [[28, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\""]], "variable (command)": [[28, "coq:cmd.Variable"]], "variables (command)": [[28, "coq:cmd.Variables"]], "forall": [[28, "index-1"]], "fun": [[28, "index-0"]], "\u2018ident\u2019 already exists. (axiom) (error)": [[28, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)"]], "add (command)": [[29, "coq:cmd.Add"]], "attributes (command)": [[29, "coq:cmd.Attributes"]], "comments (command)": [[29, "coq:cmd.Comments"]], "print options (command)": [[29, "coq:cmd.Print-Options"]], "print table (command)": [[29, "coq:cmd.Print-Table"]], "print tables (command)": [[29, "coq:cmd.Print-Tables"]], "remove (command)": [[29, "coq:cmd.Remove"]], "set (command)": [[29, "coq:cmd.Set"]], "test (command)": [[29, "coq:cmd.Test"]], "there is no flag or option with this name: \"\u2018setting_name\u2019\" (warning)": [[29, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no flag, option or table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no qualid-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no string-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "this command does not support this attribute (warning)": [[29, "coq:warn.This-command-does-not-support-this-attribute"]], "unset (command)": [[29, "coq:cmd.Unset"]], "command": [[29, "term-command"]], "sentence": [[29, "term-sentence"]], "tactic": [[29, "term-tactic"]], "term": [[29, "term-term"]], "type": [[29, "term-type"], [39, "index-0"]], "warning (attribute)": [[29, "coq:attr.warning"]], "warnings (attribute)": [[29, "coq:attr.warnings"]], "cofixpoint (command)": [[30, "coq:cmd.CoFixpoint"]], "coinductive (command)": [[30, "coq:cmd.CoInductive"]], "cofix": [[30, "index-0"]], "... : ... (type cast)": [[32, "index-1"]], "... :> ... (volatile type cast)": [[32, "index-1"]], "... <: ... (vm type cast)": [[32, "index-1"]], "... <<: ... (native compute type cast)": [[32, "index-1"]], "corollary (command)": [[32, "coq:cmd.Corollary"]], "definition (command)": [[32, "coq:cmd.Definition"]], "example (command)": [[32, "coq:cmd.Example"]], "fact (command)": [[32, "coq:cmd.Fact"]], "lemma (command)": [[32, "coq:cmd.Lemma"]], "nested proofs are discouraged and not allowed by default. this error probably means that you forgot to close the last \"proof.\" with \"qed.\" or \"defined.\". if you really intended to use nested proofs, you can do so by turning the \"nested proofs allowed\" flag on (error)": [[32, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on"]], "property (command)": [[32, "coq:cmd.Property"]], "proposition (command)": [[32, "coq:cmd.Proposition"]], "remark (command)": [[32, "coq:cmd.Remark"]], "the term \u2018term\u2019 has type \u2018type\u2019 which should be set, prop or type (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type"]], "the term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019' (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'"]], "theorem (command)": [[32, "coq:cmd.Theorem"]], "let ... := ... (term)": [[32, "index-0"]], "\u2018ident\u2019 already exists. (definition) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)"]], "\u2018ident\u2019 already exists. (theorem) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)"]], "auto template polymorphism (flag)": [[34, "coq:flag.Auto-Template-Polymorphism"]], "automatically declaring \u2018ident\u2019 as template polymorphic (warning)": [[34, "coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic"]], "dependent proposition eliminators (flag)": [[34, "coq:flag.Dependent-Proposition-Eliminators"]], "fixpoint (command)": [[34, "coq:cmd.Fixpoint"]], "ill-formed template inductive declaration: not polymorphic on any universe (error)": [[34, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe"]], "inductive (command)": [[34, "coq:cmd.Inductive"]], "non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019 (error)": [[34, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019"]], "the conclusion of \u2018type\u2019 is not valid": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "uniform inductive parameters (flag)": [[34, "coq:flag.Uniform-Inductive-Parameters"]], "fix": [[34, "index-0"]], "it must be built from \u2018ident\u2019 (error)": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "template and polymorphism not compatible (error)": [[34, "coq:exn.template-and-polymorphism-not-compatible"]], "universes(template) (attribute)": [[34, "coq:attr.universes(template)"]], "cannot import local constant, it will be ignored (warning)": [[35, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored"]], "declare module (command)": [[35, "coq:cmd.Declare-Module"]], "export (command)": [[35, "coq:cmd.Export"]], "import (command)": [[35, "coq:cmd.Import"]], "include (command)": [[35, "coq:cmd.Include"]], "include type (command)": [[35, "coq:cmd.Include-Type"]], "module (command)": [[35, "coq:cmd.Module"]], "module type (command)": [[35, "coq:cmd.Module-Type"]], "no field named \u2018ident\u2019 in \u2018qualid\u2019 (error)": [[35, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019"]], "print module (command)": [[35, "coq:cmd.Print-Module"]], "print module type (command)": [[35, "coq:cmd.Print-Module-Type"]], "print namespace (command)": [[35, "coq:cmd.Print-Namespace"]], "short module printing (flag)": [[35, "coq:flag.Short-Module-Printing"]], "signature components for field \u2018ident\u2019 do not match (error)": [[35, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match"]], "the field \u2018ident\u2019 is missing in \u2018qualid\u2019 (error)": [[35, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019"]], "trying to mask the absolute name \u2018qualid\u2019! (warning)": [[35, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!"]], "export (attribute)": [[35, "coq:attr.export"]], "global (attribute)": [[35, "coq:attr.global"]], "local (attribute)": [[35, "coq:attr.local"]], "\u2018qualid\u2019 is not a module (error)": [[35, "coq:exn.\u2018qualid\u2019-is-not-a-module"]], "primitive projections (flag)": [[37, "coq:flag.Primitive-Projections"]], "printing constructor (table)": [[37, "coq:table.Printing-Constructor"]], "printing primitive projection parameters (flag)": [[37, "coq:flag.Printing-Primitive-Projection-Parameters"]], "printing projections (flag)": [[37, "coq:flag.Printing-Projections"]], "printing record (table)": [[37, "coq:table.Printing-Record"]], "printing records (flag)": [[37, "coq:flag.Printing-Records"]], "printing unfolded projection as match (flag)": [[37, "coq:flag.Printing-Unfolded-Projection-As-Match"]], "record (command)": [[37, "coq:cmd.Record"]], "records declared with the keyword record or structure cannot be recursive (error)": [[37, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive"]], "structure (command)": [[37, "coq:cmd.Structure"]], "projections(primitive) (attribute)": [[37, "coq:attr.projections(primitive)"]], "\u2018ident\u2019 already exists (error)": [[37, "coq:exn.\u2018ident\u2019-already-exists"]], "\u2018ident\u2019 cannot be defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined"]], "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not"]], "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined"]], "context (command)": [[38, "coq:cmd.Context"]], "end (command)": [[38, "coq:cmd.End"]], "last block to end has name \u2018ident\u2019 (error)": [[38, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019"]], "let (command)": [[38, "coq:cmd.Let"]], "let cofixpoint (command)": [[38, "coq:cmd.Let-CoFixpoint"]], "let fixpoint (command)": [[38, "coq:cmd.Let-Fixpoint"]], "section (command)": [[38, "coq:cmd.Section"]], "there is nothing to end (error)": [[38, "coq:exn.There-is-nothing-to-end"]], "clearbody (attribute)": [[38, "coq:attr.clearbody"]], "prop": [[39, "index-0"]], "sprop": [[39, "index-0"]], "set (sort)": [[39, "index-0"]], "casts are not supported in this pattern (error)": [[40, "coq:exn.Casts-are-not-supported-in-this-pattern"]], "private (attribute)": [[40, "coq:attr.Private"]], "the \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019 (error)": [[40, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019"]], "variant (command)": [[40, "coq:cmd.Variant"]], "match ... with ...": [[40, "index-0"]], "private(matching) (attribute)": [[40, "coq:attr.private(matching)"]], "arguments (command)": [[41, "coq:cmd.Arguments"]], "arguments of section variables such as \u2018name\u2019 may not be renamed (error)": [[41, "coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed"]], "flag 'rename' expected to rename \u2018name\u2019 into \u2018name\u2019 (error)": [[41, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019"]], "the & modifier may only occur once (error)": [[41, "coq:exn.The-&-modifier-may-only-occur-once"]], "the 'clear implicits' flag must be omitted if implicit annotations are given (error)": [[41, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given"]], "the 'default implicits' flag is incompatible with implicit annotations (error)": [[41, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations"]], "the / modifier may only occur once (error)": [[41, "coq:exn.The-/-modifier-may-only-occur-once"]], "this command is just asserting the names of arguments of \u2018qualid\u2019. if this is what you want, add ': assert' to silence the warning. if you want to clear implicit arguments, add ': clear implicits'. if you want to clear notation scopes, add ': clear scopes' (warning)": [[41, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'"]], "to rename arguments the 'rename' flag must be specified (error)": [[41, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified"]], "canonical structure (command)": [[42, "coq:cmd.Canonical-Structure"]], "print canonical projections (command)": [[42, "coq:cmd.Print-Canonical-Projections"]], "canonical (attribute)": [[42, "coq:attr.canonical"]], "printing existential instances (flag)": [[43, "coq:flag.Printing-Existential-Instances"]], "_": [[43, "index-0"]], "argument at position \u2018natural\u2019 is mentioned more than once (error)": [[44, "coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once"]], "argument \u2018name\u2019 is a trailing implicit, so it can't be declared non maximal. please use { } instead of [ ] (error)": [[44, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]"]], "arguments given by name or position not supported in explicit mode (error)": [[44, "coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode"]], "cannot infer a term for this placeholder. (casual use of implicit arguments) (error)": [[44, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)"]], "contextual implicit (flag)": [[44, "coq:flag.Contextual-Implicit"]], "generalizable (command)": [[44, "coq:cmd.Generalizable"]], "ignoring implicit binder declaration in unexpected position (warning)": [[44, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position"]], "implicit arguments (flag)": [[44, "coq:flag.Implicit-Arguments"]], "implicit type (command)": [[44, "coq:cmd.Implicit-Type"]], "implicit types (command)": [[44, "coq:cmd.Implicit-Types"]], "making shadowed name of implicit argument accessible by position (warning)": [[44, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position"]], "maximal implicit insertion (flag)": [[44, "coq:flag.Maximal-Implicit-Insertion"]], "not enough non implicit arguments to accept the argument bound to \u2018ident\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019"]], "not enough non implicit arguments to accept the argument bound to \u2018natural\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019"]], "parsing explicit (flag)": [[44, "coq:flag.Parsing-Explicit"]], "print implicit (command)": [[44, "coq:cmd.Print-Implicit"]], "printing implicit (flag)": [[44, "coq:flag.Printing-Implicit"]], "printing implicit defensive (flag)": [[44, "coq:flag.Printing-Implicit-Defensive"]], "printing use implicit types (flag)": [[44, "coq:flag.Printing-Use-Implicit-Types"]], "reversible pattern implicit (flag)": [[44, "coq:flag.Reversible-Pattern-Implicit"]], "strict implicit (flag)": [[44, "coq:flag.Strict-Implicit"]], "strongly strict implicit (flag)": [[44, "coq:flag.Strongly-Strict-Implicit"]], "wrong argument name (error)": [[44, "coq:exn.Wrong-argument-name"]], "wrong argument position (error)": [[44, "coq:exn.Wrong-argument-position"]], "`( )": [[44, "index-2"]], "`(! )": [[44, "index-5"]], "`[ ]": [[44, "index-1"]], "`[! ]": [[44, "index-4"]], "`{ }": [[44, "index-0"]], "`{! }": [[44, "index-3"]], "asymmetric patterns (flag)": [[46, "coq:flag.Asymmetric-Patterns"]], "either there is a type incompatibility or the problem involves dependencies (error)": [[46, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies"]], "found a constructor of inductive type term while a constructor of term is expected (error)": [[46, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected"]], "non exhaustive pattern matching (error)": [[46, "coq:exn.Non-exhaustive-pattern-matching"]], "printing allow match default clause (flag)": [[46, "coq:flag.Printing-Allow-Match-Default-Clause"]], "printing factorizable match patterns (flag)": [[46, "coq:flag.Printing-Factorizable-Match-Patterns"]], "printing if (table)": [[46, "coq:table.Printing-If"]], "printing let (table)": [[46, "coq:table.Printing-Let"]], "printing match all subterms (flag)": [[46, "coq:flag.Printing-Match-All-Subterms"]], "printing matching (flag)": [[46, "coq:flag.Printing-Matching"]], "printing synth (flag)": [[46, "coq:flag.Printing-Synth"]], "printing wildcard (flag)": [[46, "coq:flag.Printing-Wildcard"]], "the constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments (error)": [[46, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments"]], "the elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case) (error)": [[46, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)"]], "the variable ident is bound several times in pattern term (error)": [[46, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term"]], "unable to infer a match predicate (error)": [[46, "coq:exn.Unable-to-infer-a-match-predicate"]], "unused variable \u2018ident\u2019 might be a misspelled constructor. use _ or _\u2018ident\u2019 to silence this warning (warning)": [[46, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning."]], "coqtop exit on error (flag)": [[51, "coq:flag.Coqtop-Exit-On-Error"]], "+ (backtracking branching) (tactic)": [[54, "coq:tacn.+-(backtracking-branching)"]], "::=": [[54, "index-0"]], "argument of match does not evaluate to a term (error)": [[54, "coq:exn.Argument-of-match-does-not-evaluate-to-a-term"]], "condition not satisfied (error)": [[54, "coq:exn.Condition-not-satisfied"]], "debug (command)": [[54, "coq:cmd.Debug"]], "debug mode not available in the ide (error)": [[54, "coq:exn.Debug-mode-not-available-in-the-IDE"]], "expression does not evaluate to a tactic (error)": [[54, "coq:exn.Expression-does-not-evaluate-to-a-tactic"]], "failed to progress (error)": [[54, "coq:exn.Failed-to-progress"]], "info (command)": [[54, "coq:cmd.Info"]], "info level (option)": [[54, "coq:opt.Info-Level"]], "ltac (command)": [[54, "coq:cmd.Ltac"]], "ltac backtrace (flag)": [[54, "coq:flag.Ltac-Backtrace"]], "ltac batch debug (flag)": [[54, "coq:flag.Ltac-Batch-Debug"]], "ltac debug (flag)": [[54, "coq:flag.Ltac-Debug"]], "ltac profiler encountered an invalid stack (no self node). this can happen if you reset the profile during tactic execution (warning)": [[54, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution"]], "ltac profiling (flag)": [[54, "coq:flag.Ltac-Profiling"]], "no applicable tactic (error)": [[54, "coq:exn.No-applicable-tactic"]], "no evars (error)": [[54, "coq:exn.No-evars"]], "no matching clauses for match (error)": [[54, "coq:exn.No-matching-clauses-for-match"]], "no matching clauses for match goal (error)": [[54, "coq:exn.No-matching-clauses-for-match-goal"]], "no such goal. (goal selector) (error)": [[54, "coq:exn.No-such-goal.-(Goal-selector)"]], "no such goal. (fail) (error)": [[54, "coq:exn.No-such-goal.-(fail)"]], "not a context variable (error)": [[54, "coq:exn.Not-a-context-variable"]], "not a variable or hypothesis (error)": [[54, "coq:exn.Not-a-variable-or-hypothesis"]], "not an evar (error)": [[54, "coq:exn.Not-an-evar"]], "not equal (due to universes) (error)": [[54, "coq:exn.Not-equal-(due-to-universes)"]], "not equal (error)": [[54, "coq:exn.Not-equal"]], "not ground (error)": [[54, "coq:exn.Not-ground"]], "print ltac (command)": [[54, "coq:cmd.Print-Ltac"]], "print ltac signatures (command)": [[54, "coq:cmd.Print-Ltac-Signatures"]], "reset ltac profile (command)": [[54, "coq:cmd.Reset-Ltac-Profile"]], "show ltac profile (command)": [[54, "coq:cmd.Show-Ltac-Profile"]], "tactic failure (error)": [[54, "coq:exn.Tactic-failure"]], "tactic failure (level \u2018natural\u2019) (error)": [[54, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)"]], "tactic failure: succeeds (error)": [[54, "coq:exn.Tactic-failure:--succeeds"]], "there is already an ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019"]], "there is no ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019"]], "this tactic has more than one success (error)": [[54, "coq:exn.This-tactic-has-more-than-one-success"]], "unbound context identifier \u2018ident\u2019 (error)": [[54, "coq:exn.Unbound-context-identifier-\u2018ident\u2019"]], "[ \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "[> \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "assert_fails (tactic)": [[54, "coq:tacn.assert_fails"]], "assert_succeeds (tactic)": [[54, "coq:tacn.assert_succeeds"]], "constr_eq (tactic)": [[54, "coq:tacn.constr_eq"]], "constr_eq_nounivs (tactic)": [[54, "coq:tacn.constr_eq_nounivs"]], "constr_eq_strict (tactic)": [[54, "coq:tacn.constr_eq_strict"]], "context (tactic)": [[54, "coq:tacn.context"]], "convert (tactic)": [[54, "coq:tacn.convert"]], "do (tactic)": [[54, "coq:tacn.do"]], "exactly_once (tactic)": [[54, "coq:tacn.exactly_once"]], "fail (tactic)": [[54, "coq:tacn.fail"]], "finish_timing (tactic)": [[54, "coq:tacn.finish_timing"]], "first (tactic)": [[54, "coq:tacn.first"]], "fresh (tactic)": [[54, "coq:tacn.fresh"]], "fun (tactic)": [[54, "coq:tacn.fun"]], "gfail (tactic)": [[54, "coq:tacn.gfail"]], "guard (tactic)": [[54, "coq:tacn.guard"]], "has_evar (tactic)": [[54, "coq:tacn.has_evar"]], "idtac (tactic)": [[54, "coq:tacn.idtac"]], "infoh (command)": [[54, "coq:cmd.infoH"]], "is_cofix (tactic)": [[54, "coq:tacn.is_cofix"]], "is_const (tactic)": [[54, "coq:tacn.is_const"]], "is_constructor (tactic)": [[54, "coq:tacn.is_constructor"]], "is_evar (tactic)": [[54, "coq:tacn.is_evar"]], "is_fix (tactic)": [[54, "coq:tacn.is_fix"]], "is_ground (tactic)": [[54, "coq:tacn.is_ground"]], "is_ind (tactic)": [[54, "coq:tacn.is_ind"]], "is_proj (tactic)": [[54, "coq:tacn.is_proj"]], "is_var (tactic)": [[54, "coq:tacn.is_var"]], "lazymatch (tactic)": [[54, "coq:tacn.lazymatch"]], "lazymatch goal (tactic)": [[54, "coq:tacn.lazymatch-goal"]], "let (tactic)": [[54, "coq:tacn.let"]], "ltac-seq (tactic)": [[54, "coq:tacn.ltac-seq"]], "match (tactic)": [[54, "coq:tacn.match"]], "match goal (tactic)": [[54, "coq:tacn.match-goal"]], "multimatch (tactic)": [[54, "coq:tacn.multimatch"]], "multimatch goal (tactic)": [[54, "coq:tacn.multimatch-goal"]], "not a cofix definition (error)": [[54, "coq:exn.not-a-cofix-definition"]], "not a constant (error)": [[54, "coq:exn.not-a-constant"]], "not a constructor (error)": [[54, "coq:exn.not-a-constructor"]], "not a fix definition (error)": [[54, "coq:exn.not-a-fix-definition"]], "not a primitive projection (error)": [[54, "coq:exn.not-a-primitive-projection"]], "not an (co)inductive datatype (error)": [[54, "coq:exn.not-an-(co)inductive-datatype"]], "not_evar (tactic)": [[54, "coq:tacn.not_evar"]], "numgoals (tactic)": [[54, "coq:tacn.numgoals"]], "once (tactic)": [[54, "coq:tacn.once"]], "only (tactic)": [[54, "coq:tacn.only"]], "optimize_heap (tactic)": [[54, "coq:tacn.optimize_heap"]], "progress (tactic)": [[54, "coq:tacn.progress"]], "repeat (tactic)": [[54, "coq:tacn.repeat"]], "reset ltac profile (tactic)": [[54, "coq:tacn.reset-ltac-profile"]], "restart_timer (tactic)": [[54, "coq:tacn.restart_timer"]], "show ltac profile (tactic)": [[54, "coq:tacn.show-ltac-profile"]], "solve (tactic)": [[54, "coq:tacn.solve"]], "start ltac profiling (tactic)": [[54, "coq:tacn.start-ltac-profiling"]], "stop ltac profiling (tactic)": [[54, "coq:tacn.stop-ltac-profiling"]], "time (tactic)": [[54, "coq:tacn.time"]], "time_constr (tactic)": [[54, "coq:tacn.time_constr"]], "timeout (tactic)": [[54, "coq:tacn.timeout"]], "try (tactic)": [[54, "coq:tacn.try"]], "tryif (tactic)": [[54, "coq:tacn.tryif"]], "type of (tactic)": [[54, "coq:tacn.type-of"]], "type_term (tactic)": [[54, "coq:tacn.type_term"]], "unify (tactic)": [[54, "coq:tacn.unify"]], "|| (first tactic making progress) (tactic)": [[54, "coq:tacn.||-(first-tactic-making-progress)"]], "\u2026 : \u2026 (goal selector) (tactic)": [[54, "coq:tacn.\u2026-:-\u2026-(goal-selector)"]], "ltac2 (command)": [[55, "coq:cmd.Ltac2"]], "ltac2 backtrace (flag)": [[55, "coq:flag.Ltac2-Backtrace"]], "ltac2 check (command)": [[55, "coq:cmd.Ltac2-Check"]], "ltac2 eval (command)": [[55, "coq:cmd.Ltac2-Eval"]], "ltac2 globalize (command)": [[55, "coq:cmd.Ltac2-Globalize"]], "ltac2 in ltac1 profiling (flag)": [[55, "coq:flag.Ltac2-In-Ltac1-Profiling"]], "ltac2 notation (abbreviation) (command)": [[55, "coq:cmd.Ltac2-Notation-(abbreviation)"]], "ltac2 notation (command)": [[55, "coq:cmd.Ltac2-Notation"]], "ltac2 set (command)": [[55, "coq:cmd.Ltac2-Set"]], "ltac2 type (command)": [[55, "coq:cmd.Ltac2-Type"]], "ltac2 typed notations (flag)": [[55, "coq:flag.Ltac2-Typed-Notations"]], "ltac2 external (command)": [[55, "coq:cmd.Ltac2-external"]], "notation levels must range between 0 and 6 (error)": [[55, "coq:exn.Notation-levels-must-range-between-0-and-6"]], "print ltac2 (command)": [[55, "coq:cmd.Print-Ltac2"]], "print ltac2 signatures (command)": [[55, "coq:cmd.Print-Ltac2-Signatures"]], "print ltac2 type (command)": [[55, "coq:cmd.Print-Ltac2-Type"]], "the reference x was not found in the current environment (error)": [[55, "coq:exn.The-reference-X-was-not-found-in-the-current-environment"]], "unbound [value|constructor] x (error)": [[55, "coq:exn.Unbound-[value|constructor]-X"]], "abstract (attribute)": [[55, "coq:attr.abstract"]], "if-then-else (ltac2) (tactic)": [[55, "coq:tacn.if-then-else-(Ltac2)"]], "lazy_match! (tactic)": [[55, "coq:tacn.lazy_match!"]], "lazy_match! goal (tactic)": [[55, "coq:tacn.lazy_match!-goal"]], "match (ltac2) (tactic)": [[55, "coq:tacn.match-(Ltac2)"]], "match! (tactic)": [[55, "coq:tacn.match!"]], "match! goal (tactic)": [[55, "coq:tacn.match!-goal"]], "multi_match! (tactic)": [[55, "coq:tacn.multi_match!"]], "multi_match! goal (tactic)": [[55, "coq:tacn.multi_match!-goal"]], "=> (tactic)": [[57, "coq:tacn.=>"]], "debug ssrmatching (flag)": [[57, "coq:flag.Debug-SsrMatching"]], "debug ssreflect (flag)": [[57, "coq:flag.Debug-Ssreflect"]], "duplicate clear of h. use { }h instead of { h }h (warning)": [[57, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H"]], "hint view for (command)": [[57, "coq:cmd.Hint-View-for"]], "hint view for apply (command)": [[57, "coq:cmd.Hint-View-for-apply"]], "hint view for move (command)": [[57, "coq:cmd.Hint-View-for-move"]], "incorrect number of tactics (expected n tactics, was given m) (error)": [[57, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)"]], "prenex implicits (command)": [[57, "coq:cmd.Prenex-Implicits"]], "ssreflect: cannot obtain new equations out of ... (warning)": [[57, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-..."]], "ssrhave notcresolution (flag)": [[57, "coq:flag.SsrHave-NoTCResolution"]], "ssridents (flag)": [[57, "coq:flag.SsrIdents"]], "ssroldrewritegoalsorder (flag)": [[57, "coq:flag.SsrOldRewriteGoalsOrder"]], "ssrrewrite (flag)": [[57, "coq:flag.SsrRewrite"]], "abstract (ssreflect) (tactic)": [[57, "coq:tacn.abstract-(ssreflect)"]], "apply (ssreflect) (tactic)": [[57, "coq:tacn.apply-(ssreflect)"]], "by (tactic)": [[57, "coq:tacn.by"]], "case (ssreflect) (tactic)": [[57, "coq:tacn.case-(ssreflect)"]], "congr (tactic)": [[57, "coq:tacn.congr"]], "do (ssreflect) (tactic)": [[57, "coq:tacn.do-(ssreflect)"]], "done (tactic)": [[57, "coq:tacn.done"]], "elim (ssreflect) (tactic)": [[57, "coq:tacn.elim-(ssreflect)"]], "exact (ssreflect) (tactic)": [[57, "coq:tacn.exact-(ssreflect)"]], "first (ssreflect) (tactic)": [[57, "coq:tacn.first-(ssreflect)"]], "first last (tactic variant)": [[57, "coq:tacv.first-last"]], "generally have (tactic)": [[57, "coq:tacn.generally-have"]], "have (tactic)": [[57, "coq:tacn.have"]], "in (tactic)": [[57, "coq:tacn.in"]], "last (tactic)": [[57, "coq:tacn.last"]], "last first (tactic variant)": [[57, "coq:tacv.last-first"]], "move (ssreflect) (tactic)": [[57, "coq:tacn.move-(ssreflect)"]], "over (tactic)": [[57, "coq:tacn.over"]], "pose (ssreflect) (tactic)": [[57, "coq:tacn.pose-(ssreflect)"]], "rewrite (ssreflect) (tactic)": [[57, "coq:tacn.rewrite-(ssreflect)"]], "set (ssreflect) (tactic)": [[57, "coq:tacn.set-(ssreflect)"]], "suff (tactic)": [[57, "coq:tacn.suff"]], "suffices (tactic)": [[57, "coq:tacn.suffices"]], "under (tactic)": [[57, "coq:tacn.under"]], "unlock (tactic)": [[57, "coq:tacn.unlock"]], "without loss (tactic)": [[57, "coq:tacn.without-loss"]], "wlog (tactic)": [[57, "coq:tacn.wlog"]], "\u2026 : \u2026 (ssreflect) (tactic)": [[57, "coq:tacn.\u2026-:-\u2026-(ssreflect)"]], "cannot change \u2018ident\u2019, it is used in conclusion (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion"]], "cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019"]], "cannot infer a term for this placeholder. (refine) (error)": [[58, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019"]], "default goal selector (option)": [[58, "coq:opt.Default-Goal-Selector"]], "no product even after head-reduction (error)": [[58, "coq:exn.No-product-even-after-head-reduction"]], "no quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction (error)": [[58, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction"]], "no such assumption (error)": [[58, "coq:exn.No-such-assumption"]], "no such binder (error)": [[58, "coq:exn.No-such-binder"]], "no such bound variable \u2018ident\u2019 (no bound variables at all in the expression) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)"]], "no such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ...) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)"]], "no such hypothesis: \u2018ident\u2019 (error)": [[58, "coq:exn.No-such-hypothesis:-\u2018ident\u2019"]], "no \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction (error)": [[58, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction"]], "not an exact proof (error)": [[58, "coq:exn.Not-an-exact-proof"]], "not the right number of missing arguments (expected \u2018natural\u2019) (error)": [[58, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)"]], "proof is not complete. (assert) (error)": [[58, "coq:exn.Proof-is-not-complete.-(assert)"]], "the term \"\u2018type\u2019\" has type \"\u2018type\u2019\" which should be set, prop or type (error)": [[58, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type"]], "the variable \u2018ident\u2019 is already declared (error)": [[58, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared"]], "unable to apply lemma of type \"...\" on hypothesis of type \"...\" (error)": [[58, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\""]], "unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019 (error)": [[58, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019"]], "unable to unify \u2018one_term\u2019 with \u2018one_term\u2019 (error)": [[58, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019"]], "absurd (tactic)": [[58, "coq:tacn.absurd"]], "apply (tactic)": [[58, "coq:tacn.apply"]], "assert (tactic)": [[58, "coq:tacn.assert"]], "assumption (tactic)": [[58, "coq:tacn.assumption"]], "classical_left (tactic)": [[58, "coq:tacn.classical_left"]], "classical_right (tactic)": [[58, "coq:tacn.classical_right"]], "clear (tactic)": [[58, "coq:tacn.clear"]], "clear dependent (tactic)": [[58, "coq:tacn.clear-dependent"]], "clearbody (tactic)": [[58, "coq:tacn.clearbody"]], "contradict (tactic)": [[58, "coq:tacn.contradict"]], "contradiction (tactic)": [[58, "coq:tacn.contradiction"]], "cut (tactic)": [[58, "coq:tacn.cut"]], "dependent generalize_eqs (tactic)": [[58, "coq:tacn.dependent-generalize_eqs"]], "dependent generalize_eqs_vars (tactic)": [[58, "coq:tacn.dependent-generalize_eqs_vars"]], "eapply (tactic)": [[58, "coq:tacn.eapply"]], "eassert (tactic)": [[58, "coq:tacn.eassert"]], "eassumption (tactic)": [[58, "coq:tacn.eassumption"]], "eenough (tactic)": [[58, "coq:tacn.eenough"]], "eexact (tactic)": [[58, "coq:tacn.eexact"]], "eintros (tactic)": [[58, "coq:tacn.eintros"]], "enough (tactic)": [[58, "coq:tacn.enough"]], "epose (tactic)": [[58, "coq:tacn.epose"]], "epose proof (tactic)": [[58, "coq:tacn.epose-proof"]], "eremember (tactic)": [[58, "coq:tacn.eremember"]], "eset (tactic)": [[58, "coq:tacn.eset"]], "evar (tactic)": [[58, "coq:tacn.evar"]], "exact (tactic)": [[58, "coq:tacn.exact"]], "exact_no_check (tactic)": [[58, "coq:tacn.exact_no_check"]], "exfalso (tactic)": [[58, "coq:tacn.exfalso"]], "generalize (tactic)": [[58, "coq:tacn.generalize"]], "generalize dependent (tactic)": [[58, "coq:tacn.generalize-dependent"]], "generalize_eqs (tactic)": [[58, "coq:tacn.generalize_eqs"]], "generalize_eqs_vars (tactic)": [[58, "coq:tacn.generalize_eqs_vars"]], "instantiate (tactic)": [[58, "coq:tacn.instantiate"]], "intro (tactic)": [[58, "coq:tacn.intro"]], "intros (tactic)": [[58, "coq:tacn.intros"]], "intros until (tactic)": [[58, "coq:tacn.intros-until"]], "lapply (tactic)": [[58, "coq:tacn.lapply"]], "lapply needs a non-dependent product (error)": [[58, "coq:exn.lapply-needs-a-non-dependent-product"]], "move (tactic)": [[58, "coq:tacn.move"]], "native_cast_no_check (tactic)": [[58, "coq:tacn.native_cast_no_check"]], "pose (tactic)": [[58, "coq:tacn.pose"]], "pose proof (tactic)": [[58, "coq:tacn.pose-proof"]], "rapply (tactic)": [[58, "coq:tacn.rapply"]], "refine (tactic)": [[58, "coq:tacn.refine"]], "remember (tactic)": [[58, "coq:tacn.remember"]], "rename (tactic)": [[58, "coq:tacn.rename"]], "revert (tactic)": [[58, "coq:tacn.revert"]], "revert dependent (tactic)": [[58, "coq:tacn.revert-dependent"]], "set (tactic)": [[58, "coq:tacn.set"]], "simple apply (tactic)": [[58, "coq:tacn.simple-apply"]], "simple eapply (tactic)": [[58, "coq:tacn.simple-eapply"]], "specialize (tactic)": [[58, "coq:tacn.specialize"]], "specialize_eqs (tactic)": [[58, "coq:tacn.specialize_eqs"]], "vm_cast_no_check (tactic)": [[58, "coq:tacn.vm_cast_no_check"]], "\u2018ident\u2019 is already used (error)": [[58, "coq:exn.\u2018ident\u2019-is-already-used"]], "\u2018ident\u2019 is not a local definition (error)": [[58, "coq:exn.\u2018ident\u2019-is-not-a-local-definition"]], "\u2018ident\u2019 is used in the conclusion (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion"]], "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019"]], "about (command)": [[59, "coq:cmd.About"]], "back (command)": [[59, "coq:cmd.Back"]], "backto (command)": [[59, "coq:cmd.BackTo"]], "bad magic number (error)": [[59, "coq:exn.Bad-magic-number"]], "cannot find library foo in loadpath (error)": [[59, "coq:exn.Cannot-find-library-foo-in-loadpath"]], "cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019 (error)": [[59, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019"]], "can\u2019t find file \u2018ident\u2019 on loadpath (error)": [[59, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath"]], "check (command)": [[59, "coq:cmd.Check"]], "compiled library \u2018ident\u2019.vo makes inconsistent assumptions over library \u2018qualid\u2019 (error)": [[59, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019"]], "debug (option)": [[59, "coq:opt.Debug"]], "declare ml module (command)": [[59, "coq:cmd.Declare-ML-Module"]], "default timeout (option)": [[59, "coq:opt.Default-Timeout"]], "drop (command)": [[59, "coq:cmd.Drop"]], "dynlink error: execution of module initializers in the (error)": [[59, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the"]], "fail (command)": [[59, "coq:cmd.Fail"]], "fast name printing (flag)": [[59, "coq:flag.Fast-Name-Printing"]], "file ... found twice in ... (warning)": [[59, "coq:warn.File-...-found-twice-in-..."]], "file not found on loadpath: \u2018string\u2019 (error)": [[59, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019"]], "files processed by load cannot leave open proofs (error)": [[59, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs"]], "from \u2026 dependency (command)": [[59, "coq:cmd.From-\u2026-Dependency"]], "from \u2026 require (command)": [[59, "coq:cmd.From-\u2026-Require"]], "guard checking (flag)": [[59, "coq:flag.Guard-Checking"]], "inspect (command)": [[59, "coq:cmd.Inspect"]], "instructions (command)": [[59, "coq:cmd.Instructions"]], "invalid backtrack (error)": [[59, "coq:exn.Invalid-backtrack"]], "load (command)": [[59, "coq:cmd.Load"]], "load is not supported inside proofs (error)": [[59, "coq:exn.Load-is-not-supported-inside-proofs"]], "locate (command)": [[59, "coq:cmd.Locate"]], "locate file (command)": [[59, "coq:cmd.Locate-File"]], "locate library (command)": [[59, "coq:cmd.Locate-Library"]], "locate ltac (command)": [[59, "coq:cmd.Locate-Ltac"]], "locate ltac2 (command)": [[59, "coq:cmd.Locate-Ltac2"]], "locate module (command)": [[59, "coq:cmd.Locate-Module"]], "locate term (command)": [[59, "coq:cmd.Locate-Term"]], "module/section \u2018qualid\u2019 not found (error)": [[59, "coq:exn.Module/section-\u2018qualid\u2019-not-found"]], "positivity checking (flag)": [[59, "coq:flag.Positivity-Checking"]], "primitive (command)": [[59, "coq:cmd.Primitive"]], "print (command)": [[59, "coq:cmd.Print"]], "print all (command)": [[59, "coq:cmd.Print-All"]], "print all dependencies (command)": [[59, "coq:cmd.Print-All-Dependencies"]], "print assumptions (command)": [[59, "coq:cmd.Print-Assumptions"]], "print libraries (command)": [[59, "coq:cmd.Print-Libraries"]], "print loadpath (command)": [[59, "coq:cmd.Print-LoadPath"]], "print ml modules (command)": [[59, "coq:cmd.Print-ML-Modules"]], "print ml path (command)": [[59, "coq:cmd.Print-ML-Path"]], "print opaque dependencies (command)": [[59, "coq:cmd.Print-Opaque-Dependencies"]], "print registered (command)": [[59, "coq:cmd.Print-Registered"]], "print registered schemes (command)": [[59, "coq:cmd.Print-Registered-Schemes"]], "print section (command)": [[59, "coq:cmd.Print-Section"]], "print transparent dependencies (command)": [[59, "coq:cmd.Print-Transparent-Dependencies"]], "print typing flags (command)": [[59, "coq:cmd.Print-Typing-Flags"]], "printing all (flag)": [[59, "coq:flag.Printing-All"]], "printing compact contexts (flag)": [[59, "coq:flag.Printing-Compact-Contexts"]], "printing dependent evars line (flag)": [[59, "coq:flag.Printing-Dependent-Evars-Line"]], "printing depth (option)": [[59, "coq:opt.Printing-Depth"]], "printing unfocused (flag)": [[59, "coq:flag.Printing-Unfocused"]], "printing width (option)": [[59, "coq:opt.Printing-Width"]], "profile (command)": [[59, "coq:cmd.Profile"]], "quit (command)": [[59, "coq:cmd.Quit"]], "redirect (command)": [[59, "coq:cmd.Redirect"]], "register (command)": [[59, "coq:cmd.Register"]], "register inline (command)": [[59, "coq:cmd.Register-Inline"]], "register scheme (command)": [[59, "coq:cmd.Register-Scheme"]], "require (command)": [[59, "coq:cmd.Require"]], "require export (command)": [[59, "coq:cmd.Require-Export"]], "require import (command)": [[59, "coq:cmd.Require-Import"]], "require inside a module is deprecated and strongly discouraged. you can require a module at toplevel and optionally import it inside another one (warning)": [[59, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one"]], "required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ...) (error)": [[59, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)"]], "reset (command)": [[59, "coq:cmd.Reset"]], "reset initial (command)": [[59, "coq:cmd.Reset-Initial"]], "search (command)": [[59, "coq:cmd.Search"]], "search blacklist (table)": [[59, "coq:table.Search-Blacklist"]], "search output name only (flag)": [[59, "coq:flag.Search-Output-Name-Only"]], "searchpattern (command)": [[59, "coq:cmd.SearchPattern"]], "searchrewrite (command)": [[59, "coq:cmd.SearchRewrite"]], "silent (flag)": [[59, "coq:flag.Silent"]], "succeed (command)": [[59, "coq:cmd.Succeed"]], "the command has not failed! (error)": [[59, "coq:exn.The-command-has-not-failed!"]], "the file \u2018ident\u2019.vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019 (error)": [[59, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019"]], "the type \u2018ident\u2019 must be registered before this construction can be typechecked (error)": [[59, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked"]], "this object does not support universe names (error)": [[59, "coq:exn.This-object-does-not-support-universe-names"]], "time (command)": [[59, "coq:cmd.Time"]], "timeout (command)": [[59, "coq:cmd.Timeout"]], "type (command)": [[59, "coq:cmd.Type"]], "universe checking (flag)": [[59, "coq:flag.Universe-Checking"]], "universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019 (error)": [[59, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019"]], "warnings (option)": [[59, "coq:opt.Warnings"]], "bypass_check(guard) (attribute)": [[59, "coq:attr.bypass_check(guard)"]], "bypass_check(positivity) (attribute)": [[59, "coq:attr.bypass_check(positivity)"]], "bypass_check(universes) (attribute)": [[59, "coq:attr.bypass_check(universes)"]], "package-name.foo and not foo_plugin (error)": [[59, "coq:exn.package-name.foo-and-not-foo_plugin"]], "plugin name anymore. plugins should be loaded using their (error)": [[59, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their"]], "public name according to findlib, for example (error)": [[59, "coq:exn.public-name-according-to-findlib,-for-example"]], "shared library failed: coq error: \u2018string\u2019 is not a valid (error)": [[59, "coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid"]], "\u2018qualid\u2019 not a defined object (error)": [[59, "coq:exn.\u2018qualid\u2019-not-a-defined-object"]], "cannot coerce \u2018qualid\u2019 to an evaluable reference (error)": [[60, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference"]], "create hintdb (command)": [[60, "coq:cmd.Create-HintDb"]], "debug auto (flag)": [[60, "coq:flag.Debug-Auto"]], "debug eauto (flag)": [[60, "coq:flag.Debug-Eauto"]], "debug trivial (flag)": [[60, "coq:flag.Debug-Trivial"]], "declaring arbitrary terms as hints is fragile and deprecated": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "hint constants (command)": [[60, "coq:cmd.Hint-Constants"]], "hint constructors (command)": [[60, "coq:cmd.Hint-Constructors"]], "hint cut (command)": [[60, "coq:cmd.Hint-Cut"]], "hint extern (command)": [[60, "coq:cmd.Hint-Extern"]], "hint immediate (command)": [[60, "coq:cmd.Hint-Immediate"]], "hint mode (command)": [[60, "coq:cmd.Hint-Mode"]], "hint opaque (command)": [[60, "coq:cmd.Hint-Opaque"]], "hint projections (command)": [[60, "coq:cmd.Hint-Projections"]], "hint resolve (command)": [[60, "coq:cmd.Hint-Resolve"]], "hint rewrite (command)": [[60, "coq:cmd.Hint-Rewrite"]], "hint transparent (command)": [[60, "coq:cmd.Hint-Transparent"]], "hint unfold (command)": [[60, "coq:cmd.Hint-Unfold"]], "hint variables (command)": [[60, "coq:cmd.Hint-Variables"]], "info auto (flag)": [[60, "coq:flag.Info-Auto"]], "info eauto (flag)": [[60, "coq:flag.Info-Eauto"]], "info trivial (flag)": [[60, "coq:flag.Info-Trivial"]], "loose hint behavior (option)": [[60, "coq:opt.Loose-Hint-Behavior"]], "print hint (command)": [[60, "coq:cmd.Print-Hint"]], "print hintdb (command)": [[60, "coq:cmd.Print-HintDb"]], "print rewrite hintdb (command)": [[60, "coq:cmd.Print-Rewrite-HintDb"]], "proof with (command)": [[60, "coq:cmd.Proof-with"]], "remove hints (command)": [[60, "coq:cmd.Remove-Hints"]], "the \"at\" syntax isn't available yet for the autorewrite tactic (error)": [[60, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic"]], "this hint is not local but depends on a section variable. it will disappear when the section is closed (warning)": [[60, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed"]], "auto (tactic)": [[60, "coq:tacn.auto"]], "autorewrite (tactic)": [[60, "coq:tacn.autorewrite"]], "autounfold (tactic)": [[60, "coq:tacn.autounfold"]], "autounfold_one (tactic)": [[60, "coq:tacn.autounfold_one"]], "debug auto (tactic)": [[60, "coq:tacn.debug-auto"]], "debug eauto (tactic)": [[60, "coq:tacn.debug-eauto"]], "debug trivial (tactic)": [[60, "coq:tacn.debug-trivial"]], "easy (tactic)": [[60, "coq:tacn.easy"]], "eauto (tactic)": [[60, "coq:tacn.eauto"]], "info_auto (tactic)": [[60, "coq:tacn.info_auto"]], "info_eauto (tactic)": [[60, "coq:tacn.info_eauto"]], "info_trivial (tactic)": [[60, "coq:tacn.info_trivial"]], "it is recommended to declare a toplevel constant instead (warning)": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "mismatched-hint-db (warning)": [[60, "coq:warn.mismatched-hint-db"]], "now (tactic)": [[60, "coq:tacn.now"]], "trivial (tactic)": [[60, "coq:tacn.trivial"]], "\u2018qualid\u2019 cannot be used as a hint (error)": [[60, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint"]], "\u2018qualid\u2019 is not an inductive type (error)": [[60, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type"]], "cannot recognize a boolean equality (error)": [[62, "coq:exn.Cannot-recognize-a-boolean-equality"]], "firstorder depth (option)": [[62, "coq:opt.Firstorder-Depth"]], "firstorder solver (option)": [[62, "coq:opt.Firstorder-Solver"]], "goal is solvable by congruence but some arguments are missing. try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms (error)": [[62, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms"]], "i don\u2019t know how to handle dependent equality (error)": [[62, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality"]], "intuition negation unfolding (flag)": [[62, "coq:flag.Intuition-Negation-Unfolding"]], "print firstorder solver (command)": [[62, "coq:cmd.Print-Firstorder-Solver"]], "btauto (tactic)": [[62, "coq:tacn.btauto"]], "congruence (tactic)": [[62, "coq:tacn.congruence"]], "dintuition (tactic)": [[62, "coq:tacn.dintuition"]], "dtauto (tactic)": [[62, "coq:tacn.dtauto"]], "firstorder (tactic)": [[62, "coq:tacn.firstorder"]], "intuition (tactic)": [[62, "coq:tacn.intuition"]], "rtauto (tactic)": [[62, "coq:tacn.rtauto"]], "simple congruence (tactic)": [[62, "coq:tacn.simple-congruence"]], "tauto (tactic)": [[62, "coq:tacn.tauto"]], "bad occurrence number of \u2018qualid\u2019 (error)": [[64, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019"]], "cannot find a relation to rewrite (error)": [[64, "coq:exn.Cannot-find-a-relation-to-rewrite"]], "cannot find any non-recursive equality over \u2018ident\u2019 (error)": [[64, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019"]], "cannot turn [inductive|constructor] into an evaluable reference (error)": [[64, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference"]], "compute (command)": [[64, "coq:cmd.Compute"]], "declare equivalent keys (command)": [[64, "coq:cmd.Declare-Equivalent-Keys"]], "declare left step (command)": [[64, "coq:cmd.Declare-Left-Step"]], "declare reduction (command)": [[64, "coq:cmd.Declare-Reduction"]], "declare right step (command)": [[64, "coq:cmd.Declare-Right-Step"]], "eval (command)": [[64, "coq:cmd.Eval"]], "found an \"at\" clause without \"with\" clause (error)": [[64, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause"]], "found no subterm matching \u2018term\u2019 in the current goal (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal"]], "found no subterm matching \u2018term\u2019 in \u2018ident\u2019 (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019"]], "kernel term sharing (flag)": [[64, "coq:flag.Kernel-Term-Sharing"]], "keyed unification (flag)": [[64, "coq:flag.Keyed-Unification"]], "nativecompute profile filename (option)": [[64, "coq:opt.NativeCompute-Profile-Filename"]], "nativecompute profiling (flag)": [[64, "coq:flag.NativeCompute-Profiling"]], "nativecompute timing (flag)": [[64, "coq:flag.NativeCompute-Timing"]], "no head constant to reduce (error)": [[64, "coq:exn.No-head-constant-to-reduce"]], "not convertible (error)": [[64, "coq:exn.Not-convertible"]], "opaque (command)": [[64, "coq:cmd.Opaque"]], "print equivalent keys (command)": [[64, "coq:cmd.Print-Equivalent-Keys"]], "print strategies (command)": [[64, "coq:cmd.Print-Strategies"]], "print strategy (command)": [[64, "coq:cmd.Print-Strategy"]], "regular subst tactic (flag)": [[64, "coq:flag.Regular-Subst-Tactic"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019 (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion"]], "strategy (command)": [[64, "coq:cmd.Strategy"]], "tactic failure: setoid library not loaded (error)": [[64, "coq:exn.Tactic-failure:-Setoid-library-not-loaded"]], "tactic generated a subgoal identical to the original goal (error)": [[64, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal"]], "terms do not have convertible types (error)": [[64, "coq:exn.Terms-do-not-have-convertible-types"]], "the reference is not unfoldable (error)": [[64, "coq:exn.The-reference-is-not-unfoldable"]], "the reference \u2018qualid\u2019 was not found in the current environment (error)": [[64, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment"]], "the relation \u2018ident\u2019 is not a declared reflexive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared symmetric relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared transitive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "transparent (command)": [[64, "coq:cmd.Transparent"]], "cbn (tactic)": [[64, "coq:tacn.cbn"]], "cbv (tactic)": [[64, "coq:tacn.cbv"]], "change (tactic)": [[64, "coq:tacn.change"]], "change_no_check (tactic)": [[64, "coq:tacn.change_no_check"]], "compute (tactic)": [[64, "coq:tacn.compute"]], "erewrite (tactic)": [[64, "coq:tacn.erewrite"]], "etransitivity (tactic)": [[64, "coq:tacn.etransitivity"]], "eval (tactic)": [[64, "coq:tacn.eval"]], "f_equal (tactic)": [[64, "coq:tacn.f_equal"]], "fold (tactic)": [[64, "coq:tacn.fold"]], "hnf (tactic)": [[64, "coq:tacn.hnf"]], "lazy (tactic)": [[64, "coq:tacn.lazy"]], "native_compute (tactic)": [[64, "coq:tacn.native_compute"]], "now_show (tactic)": [[64, "coq:tacn.now_show"]], "pattern (tactic)": [[64, "coq:tacn.pattern"]], "red (tactic)": [[64, "coq:tacn.red"]], "reflexivity (tactic)": [[64, "coq:tacn.reflexivity"]], "replace (tactic)": [[64, "coq:tacn.replace"]], "rewrite (tactic)": [[64, "coq:tacn.rewrite"]], "rewrite * (tactic)": [[64, "coq:tacn.rewrite-*"]], "simpl (tactic)": [[64, "coq:tacn.simpl"]], "simple subst (tactic)": [[64, "coq:tacn.simple-subst"]], "stepl (tactic)": [[64, "coq:tacn.stepl"]], "stepr (tactic)": [[64, "coq:tacn.stepr"]], "subst (tactic)": [[64, "coq:tacn.subst"]], "substitute (tactic)": [[64, "coq:tacn.substitute"]], "symmetry (tactic)": [[64, "coq:tacn.symmetry"]], "transitivity (tactic)": [[64, "coq:tacn.transitivity"]], "unfold (tactic)": [[64, "coq:tacn.unfold"]], "vm_compute (tactic)": [[64, "coq:tacn.vm_compute"]], "with_strategy (tactic)": [[64, "coq:tacn.with_strategy"]], "\u2018ident\u2019 is opaque (error)": [[64, "coq:exn.\u2018ident\u2019-is-opaque"]], "\u2018qualid\u2019 does not occur (error)": [[64, "coq:exn.\u2018qualid\u2019-does-not-occur"]], "\"all\" is a predefined collection containing all variables. it can't be redefined (error)": [[66, "coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined"]], "abort (command)": [[66, "coq:cmd.Abort"]], "admitted (command)": [[66, "coq:cmd.Admitted"]], "attempt to save an incomplete proof (error)": [[66, "coq:exn.Attempt-to-save-an-incomplete-proof"]], "brackets do not support multi-goal selectors (error)": [[66, "coq:exn.Brackets-do-not-support-multi-goal-selectors"]], "bullet behavior (option)": [[66, "coq:opt.Bullet-Behavior"]], "collection (command)": [[66, "coq:cmd.Collection"]], "default proof mode (option)": [[66, "coq:opt.Default-Proof-Mode"]], "default proof using (option)": [[66, "coq:opt.Default-Proof-Using"]], "defined (command)": [[66, "coq:cmd.Defined"]], "diffs (option)": [[66, "coq:opt.Diffs"]], "focus (command)": [[66, "coq:cmd.Focus"]], "goal (command)": [[66, "coq:cmd.Goal"]], "guarded (command)": [[66, "coq:cmd.Guarded"]], "hyps limit (option)": [[66, "coq:opt.Hyps-Limit"]], "mangle names (flag)": [[66, "coq:flag.Mangle-Names"]], "mangle names light (flag)": [[66, "coq:flag.Mangle-Names-Light"]], "mangle names prefix (option)": [[66, "coq:opt.Mangle-Names-Prefix"]], "nested proofs allowed (flag)": [[66, "coq:flag.Nested-Proofs-Allowed"]], "new collection definition of \u2018ident\u2019 shadows the previous one (warning)": [[66, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one"]], "no focused proof (no proof-editing in progress) (error)": [[66, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)"]], "no focused proof (error)": [[66, "coq:exn.No-focused-proof"]], "no focused proof to restart (error)": [[66, "coq:exn.No-focused-proof-to-restart"]], "no such goal (error)": [[66, "coq:exn.No-such-goal"]], "no such goal (\u2018ident\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018ident\u2019)"]], "no such goal (\u2018natural\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018natural\u2019)"]], "no such goal. focus next goal with bullet \u2018bullet\u2019 (error)": [[66, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019"]], "no such goal. try unfocusing with } (error)": [[66, "coq:exn.No-such-goal.-Try-unfocusing-with-}"]], "optimize heap (command)": [[66, "coq:cmd.Optimize-Heap"]], "optimize proof (command)": [[66, "coq:cmd.Optimize-Proof"]], "print debug gc (command)": [[66, "coq:cmd.Print-Debug-GC"]], "printing goal names (flag)": [[66, "coq:flag.Printing-Goal-Names"]], "printing goal tags (flag)": [[66, "coq:flag.Printing-Goal-Tags"]], "proof (command)": [[66, "coq:cmd.Proof"]], "proof mode (command)": [[66, "coq:cmd.Proof-Mode"]], "proof `term` (command)": [[66, "coq:cmd.Proof-`term`"]], "proof is not complete. (abstract) (error)": [[66, "coq:exn.Proof-is-not-complete.-(abstract)"]], "proof using (command)": [[66, "coq:cmd.Proof-using"]], "qed (command)": [[66, "coq:cmd.Qed"]], "restart (command)": [[66, "coq:cmd.Restart"]], "save (command)": [[66, "coq:cmd.Save"]], "show (command)": [[66, "coq:cmd.Show"]], "show conjectures (command)": [[66, "coq:cmd.Show-Conjectures"]], "show existentials (command)": [[66, "coq:cmd.Show-Existentials"]], "show goal (command)": [[66, "coq:cmd.Show-Goal"]], "show intro (command)": [[66, "coq:cmd.Show-Intro"]], "show intros (command)": [[66, "coq:cmd.Show-Intros"]], "show match (command)": [[66, "coq:cmd.Show-Match"]], "show proof (command)": [[66, "coq:cmd.Show-Proof"]], "show universes (command)": [[66, "coq:cmd.Show-Universes"]], "solve unification constraints (flag)": [[66, "coq:flag.Solve-Unification-Constraints"]], "suggest proof using (flag)": [[66, "coq:flag.Suggest-Proof-Using"]], "this proof is focused, but cannot be unfocused this way (error)": [[66, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way"]], "undo (command)": [[66, "coq:cmd.Undo"]], "unfocus (command)": [[66, "coq:cmd.Unfocus"]], "unfocused (command)": [[66, "coq:cmd.Unfocused"]], "unknown inductive type (error)": [[66, "coq:exn.Unknown-inductive-type"]], "unshelve (command)": [[66, "coq:cmd.Unshelve"]], "validate proof (command)": [[66, "coq:cmd.Validate-Proof"]], "variable all is shadowed by collection named all containing all variables (warning)": [[66, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables"]], "wrong bullet \u2018bullet\u2019: bullet \u2018bullet\u2019 is mandatory here (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here"]], "wrong bullet \u2018bullet\u2019: current bullet \u2018bullet\u2019 is not finished (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished"]], "abstract (tactic)": [[66, "coq:tacn.abstract"]], "admit (tactic)": [[66, "coq:tacn.admit"]], "bullet (- + *) (tactic)": [[66, "coq:tacn.bullet-(--+-*)"]], "cycle (tactic)": [[66, "coq:tacn.cycle"]], "give_up (tactic)": [[66, "coq:tacn.give_up"]], "revgoals (tactic)": [[66, "coq:tacn.revgoals"]], "shelve (tactic)": [[66, "coq:tacn.shelve"]], "shelve_unifiable (tactic)": [[66, "coq:tacn.shelve_unifiable"]], "solve_constraints (tactic)": [[66, "coq:tacn.solve_constraints"]], "swap (tactic)": [[66, "coq:tacn.swap"]], "transparent_abstract (tactic)": [[66, "coq:tacn.transparent_abstract"]], "unshelve (tactic)": [[66, "coq:tacn.unshelve"]], "using (attribute)": [[66, "coq:attr.using"]], "{ (tactic)": [[66, "coq:tacn.{"]], "} (tactic)": [[66, "coq:tacn.}"]], "\u2018ident\u2019 is both name of a collection and variable, collection \u2018ident\u2019 takes precedence over variable (warning)": [[66, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable"]], "\u2018ident\u2019 was already a defined variable, the name \u2018ident\u2019 will refer to collection when executing \"proof using\" command (warning)": [[66, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command"]], "boolean equality schemes (flag)": [[67, "coq:flag.Boolean-Equality-Schemes"]], "cannot recognize a statement based on \u2018reference\u2019 (error)": [[67, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019"]], "case analysis schemes (flag)": [[67, "coq:flag.Case-Analysis-Schemes"]], "combined scheme (command)": [[67, "coq:cmd.Combined-Scheme"]], "decidable equality schemes (flag)": [[67, "coq:flag.Decidable-Equality-Schemes"]], "derive dependent inversion (command)": [[67, "coq:cmd.Derive-Dependent-Inversion"]], "derive dependent inversion_clear (command)": [[67, "coq:cmd.Derive-Dependent-Inversion_clear"]], "derive inversion (command)": [[67, "coq:cmd.Derive-Inversion"]], "derive inversion_clear (command)": [[67, "coq:cmd.Derive-Inversion_clear"]], "elimination schemes (flag)": [[67, "coq:flag.Elimination-Schemes"]], "keep equalities (table)": [[67, "coq:table.Keep-Equalities"]], "keep proof equalities (flag)": [[67, "coq:flag.Keep-Proof-Equalities"]], "no information can be deduced from this equality and the injectivity of constructors. this may be because the terms are convertible, or due to pattern matching restrictions in the sort prop. you can try to use option set keep proof equalities (error)": [[67, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities"]], "no primitive equality found (error)": [[67, "coq:exn.No-primitive-equality-found"]], "nonrecursive elimination schemes (flag)": [[67, "coq:flag.Nonrecursive-Elimination-Schemes"]], "not a discriminable equality (error)": [[67, "coq:exn.Not-a-discriminable-equality"]], "not a negated primitive equality (error)": [[67, "coq:exn.Not-a-negated-primitive-equality"]], "not an inductive goal with 1 constructor (error)": [[67, "coq:exn.Not-an-inductive-goal-with-1-constructor"]], "not an inductive goal with 2 constructors (error)": [[67, "coq:exn.Not-an-inductive-goal-with-2-constructors"]], "not an inductive product (error)": [[67, "coq:exn.Not-an-inductive-product"]], "not enough constructors (error)": [[67, "coq:exn.Not-enough-constructors"]], "nothing to inject (error)": [[67, "coq:exn.Nothing-to-inject"]], "rewriting schemes (flag)": [[67, "coq:flag.Rewriting-Schemes"]], "scheme (command)": [[67, "coq:cmd.Scheme"]], "scheme boolean equality (command)": [[67, "coq:cmd.Scheme-Boolean-Equality"]], "scheme equality (command)": [[67, "coq:cmd.Scheme-Equality"]], "structural injection (flag)": [[67, "coq:flag.Structural-Injection"]], "the type has no constructors (error)": [[67, "coq:exn.The-type-has-no-constructors"]], "type of \u2018ident\u2019 is not an equality of recognized \u03c3 types: expected one of sig sig2 sigt sigt2 sigt2 ex or ex2 but got \u2018term\u2019 (error)": [[67, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019"]], "unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019 (error)": [[67, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019"]], "case (tactic)": [[67, "coq:tacn.case"]], "case_eq (tactic)": [[67, "coq:tacn.case_eq"]], "cofix (tactic)": [[67, "coq:tacn.cofix"]], "compare (tactic)": [[67, "coq:tacn.compare"]], "constructor (tactic)": [[67, "coq:tacn.constructor"]], "decide (tactic)": [[67, "coq:tacn.decide"]], "decide equality (tactic)": [[67, "coq:tacn.decide-equality"]], "decompose (tactic)": [[67, "coq:tacn.decompose"]], "decompose record (tactic)": [[67, "coq:tacn.decompose-record"]], "decompose sum (tactic)": [[67, "coq:tacn.decompose-sum"]], "dependent destruction (tactic)": [[67, "coq:tacn.dependent-destruction"]], "dependent induction (tactic)": [[67, "coq:tacn.dependent-induction"]], "dependent inversion (tactic)": [[67, "coq:tacn.dependent-inversion"]], "dependent inversion_clear (tactic)": [[67, "coq:tacn.dependent-inversion_clear"]], "dependent rewrite (tactic)": [[67, "coq:tacn.dependent-rewrite"]], "dependent simple inversion (tactic)": [[67, "coq:tacn.dependent-simple-inversion"]], "destauto (tactic)": [[67, "coq:tacn.destauto"]], "destruct (tactic)": [[67, "coq:tacn.destruct"]], "discriminate (tactic)": [[67, "coq:tacn.discriminate"]], "ecase (tactic)": [[67, "coq:tacn.ecase"]], "econstructor (tactic)": [[67, "coq:tacn.econstructor"]], "edestruct (tactic)": [[67, "coq:tacn.edestruct"]], "ediscriminate (tactic)": [[67, "coq:tacn.ediscriminate"]], "eelim (tactic)": [[67, "coq:tacn.eelim"]], "eexists (tactic)": [[67, "coq:tacn.eexists"]], "einduction (tactic)": [[67, "coq:tacn.einduction"]], "einjection (tactic)": [[67, "coq:tacn.einjection"]], "eleft (tactic)": [[67, "coq:tacn.eleft"]], "elim (tactic)": [[67, "coq:tacn.elim"]], "eright (tactic)": [[67, "coq:tacn.eright"]], "esimplify_eq (tactic)": [[67, "coq:tacn.esimplify_eq"]], "esplit (tactic)": [[67, "coq:tacn.esplit"]], "exists (tactic)": [[67, "coq:tacn.exists"]], "fix (tactic)": [[67, "coq:tacn.fix"]], "induction (tactic)": [[67, "coq:tacn.induction"]], "injection (tactic)": [[67, "coq:tacn.injection"]], "inversion (tactic)": [[67, "coq:tacn.inversion"]], "inversion_clear (tactic)": [[67, "coq:tacn.inversion_clear"]], "inversion_sigma (tactic)": [[67, "coq:tacn.inversion_sigma"]], "left (tactic)": [[67, "coq:tacn.left"]], "right (tactic)": [[67, "coq:tacn.right"]], "simple destruct (tactic)": [[67, "coq:tacn.simple-destruct"]], "simple induction (tactic)": [[67, "coq:tacn.simple-induction"]], "simple injection (tactic)": [[67, "coq:tacn.simple-injection"]], "simple inversion (tactic)": [[67, "coq:tacn.simple-inversion"]], "simplify_eq (tactic)": [[67, "coq:tacn.simplify_eq"]], "split (tactic)": [[67, "coq:tacn.split"]], "\u2018ident\u2019 is not an equality of \u03c3 types (error)": [[67, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types"]], "'via' and 'abstract' cannot be used together (error)": [[71, "coq:exn.'via'-and-'abstract'-cannot-be-used-together"]], "activation of abbreviations does not expect mentioning a grammar entry (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry"]], "activation of abbreviations does not expect mentioning a scope (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope"]], "bind scope (command)": [[71, "coq:cmd.Bind-Scope"]], "cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment (error)": [[71, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment"]], "cannot interpret this number as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019"]], "cannot interpret this string as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019"]], "close scope (command)": [[71, "coq:cmd.Close-Scope"]], "declare custom entry (command)": [[71, "coq:cmd.Declare-Custom-Entry"]], "declare scope (command)": [[71, "coq:cmd.Declare-Scope"]], "delimit scope (command)": [[71, "coq:cmd.Delimit-Scope"]], "disable notation (command)": [[71, "coq:cmd.Disable-Notation"]], "enable notation (command)": [[71, "coq:cmd.Enable-Notation"]], "end of quoted string not followed by a space in notation (error)": [[71, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation"]], "found no matching notation to enable or disable (warning)": [[71, "coq:warn.Found-no-matching-notation-to-enable-or-disable"]], "infix (command)": [[71, "coq:cmd.Infix"]], "missing mapping for constructor \u2018qualid\u2019 (error)": [[71, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019"]], "more than one interpretation bound to this notation, confirm with the \"all\" modifier (error)": [[71, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier"]], "multiple 'via' options (error)": [[71, "coq:exn.Multiple-'via'-options"]], "multiple 'warning after' or 'abstract after' options (error)": [[71, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options"]], "no notation provided (error)": [[71, "coq:exn.No-notation-provided"]], "notation (abbreviation) (command)": [[71, "coq:cmd.Notation-(abbreviation)"]], "notation (command)": [[71, "coq:cmd.Notation"]], "number notation (command)": [[71, "coq:cmd.Number-Notation"]], "open scope (command)": [[71, "coq:cmd.Open-Scope"]], "print custom grammar (command)": [[71, "coq:cmd.Print-Custom-Grammar"]], "print grammar (command)": [[71, "coq:cmd.Print-Grammar"]], "print keywords (command)": [[71, "coq:cmd.Print-Keywords"]], "print notation (command)": [[71, "coq:cmd.Print-Notation"]], "print scope (command)": [[71, "coq:cmd.Print-Scope"]], "print scopes (command)": [[71, "coq:cmd.Print-Scopes"]], "print visibility (command)": [[71, "coq:cmd.Print-Visibility"]], "printing notations (flag)": [[71, "coq:flag.Printing-Notations"]], "printing parentheses (flag)": [[71, "coq:flag.Printing-Parentheses"]], "printing raw literals (flag)": [[71, "coq:flag.Printing-Raw-Literals"]], "reserved infix (command)": [[71, "coq:cmd.Reserved-Infix"]], "reserved notation (command)": [[71, "coq:cmd.Reserved-Notation"]], "scope delimiters should not start with an underscore (error)": [[71, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore"]], "scope names should not start with an underscore (error)": [[71, "coq:exn.Scope-names-should-not-start-with-an-underscore"]], "stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed) (warning)": [[71, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)"]], "string notation (command)": [[71, "coq:cmd.String-Notation"]], "syntax error: [prim:reference] expected after 'notation' (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])"]], "syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])"]], "tactic notation (command)": [[71, "coq:cmd.Tactic-Notation"]], "the 'abstract after' directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type (warning)": [[71, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type"]], "to avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019 (warning)": [[71, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019"]], "type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. expected type is: \u2018type\u2019 instead of \u2018type\u2019. this might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation"]], "undelimit scope (command)": [[71, "coq:cmd.Undelimit-Scope"]], "unexpected non-option term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected non-option term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unexpected only parsing for an only printing notation (error)": [[71, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation"]], "unexpected only printing for an only parsing notation (error)": [[71, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation"]], "unexpected term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unknown custom entry (error)": [[71, "coq:exn.Unknown-custom-entry"]], "unknown custom entry: \u2018ident\u2019 (error)": [[71, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019"]], "unterminated string in notation (error)": [[71, "coq:exn.Unterminated-string-in-notation"]], "use of \u2018string\u2019 notation is deprecated as it is inconsistent with pattern syntax (warning)": [[71, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax"]], "add_bottom (attribute)": [[71, "coq:attr.add_bottom"]], "add_top (attribute)": [[71, "coq:attr.add_top"]], "closed-notation-not-level-0 (warning)": [[71, "coq:warn.closed-notation-not-level-0"]], "function_scope": [[71, "index-1"]], "notation-incompatible-prefix (warning)": [[71, "coq:warn.notation-incompatible-prefix"]], "overflow in int63 literal \u2018bigint\u2019 (error)": [[71, "coq:exn.overflow-in-int63-literal-\u2018bigint\u2019"]], "postfix-notation-not-level-1 (warning)": [[71, "coq:warn.postfix-notation-not-level-1"]], "type_scope": [[71, "index-0"]], "\u2018qualid\u2019 is bound to a notation that does not denote a reference (error)": [[71, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference"]], "\u2018qualid\u2019 should go from byte.byte, (list byte.byte), or primstring.string to \u2018type\u2019 or (option \u2018type\u2019) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)"]], "\u2018qualid\u2019 should go from number.int to \u2018type\u2019 or (option \u2018type\u2019). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or primfloat.float or number.number could be used (you may need to require binnums or number or primint63 or primfloat first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to number.int or (option number.int). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or number.number could be used (you may need to require binnums or number or primint63 first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to t or (option t), where t is either byte.byte, (list byte.byte), or primstring.string (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string"]], "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019 (error)": [[71, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018string\u2019 cannot be interpreted as a known notation. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018type\u2019 is not an inductive type (error)": [[71, "coq:exn.\u2018type\u2019-is-not-an-inductive-type"]], "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation"]], "cannot build functional inversion principle (warning)": [[72, "coq:warn.Cannot-build-functional-inversion-principle"]], "cannot define graph for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019"]], "cannot define principle(s) for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019"]], "cannot find induction information on \u2018qualid\u2019 (error)": [[72, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019"]], "cannot find inversion information for hypothesis \u2018ident\u2019 (error)": [[72, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019"]], "cannot use mutual definition with well-founded recursion or measure (error)": [[72, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure"]], "function (command)": [[72, "coq:cmd.Function"]], "functional case (command)": [[72, "coq:cmd.Functional-Case"]], "functional scheme (command)": [[72, "coq:cmd.Functional-Scheme"]], "generate graph for (command)": [[72, "coq:cmd.Generate-graph-for"]], "hypothesis \u2018ident\u2019 must contain at least one function (error)": [[72, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function"]], "no argument name \u2018ident\u2019 (error)": [[72, "coq:exn.No-argument-name-\u2018ident\u2019"]], "not the right number of induction arguments (error)": [[72, "coq:exn.Not-the-right-number-of-induction-arguments"]], "the recursive argument must be specified (error)": [[72, "coq:exn.The-recursive-argument-must-be-specified"]], "functional induction (tactic)": [[72, "coq:tacn.functional-induction"]], "functional inversion (tactic)": [[72, "coq:tacn.functional-inversion"]], "soft functional induction (tactic)": [[72, "coq:tacn.soft-functional-induction"]], "library file (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "library file \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "tactic notation \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "deprecated (attribute)": [[74, "coq:attr.deprecated"]], "warn (attribute)": [[74, "coq:attr.warn"]], "\u2018string\u2019 (warning)": [[74, "coq:warn.\u2018string\u2019"]], "coqdoc": [[75, "index-0"]]}}) \ No newline at end of file +Search.setIndex({"docnames": ["addendum/canonical-structures", "addendum/extended-pattern-matching", "addendum/extraction", "addendum/generalized-rewriting", "addendum/implicit-coercions", "addendum/micromega", "addendum/miscellaneous-extensions", "addendum/nsatz", "addendum/parallel-proof-processing", "addendum/program", "addendum/rewrite-rules", "addendum/ring", "addendum/sprop", "addendum/type-classes", "addendum/universe-polymorphism", "appendix/history-and-changes/index", "appendix/indexes/index", "changes", "coq-attrindex", "coq-cmdindex", "coq-exnindex", "coq-optindex", "coq-tacindex", "genindex", "history", "index", "language/cic", "language/coq-library", "language/core/assumptions", "language/core/basic", "language/core/coinductive", "language/core/conversion", "language/core/definitions", "language/core/index", "language/core/inductive", "language/core/modules", "language/core/primitive", "language/core/records", "language/core/sections", "language/core/sorts", "language/core/variants", "language/extensions/arguments-command", "language/extensions/canonical", "language/extensions/evars", "language/extensions/implicit-arguments", "language/extensions/index", "language/extensions/match", "language/gallina-extensions", "language/gallina-specification-language", "language/module-system", "license", "practical-tools/coq-commands", "practical-tools/coqide", "practical-tools/utilities", "proof-engine/ltac", "proof-engine/ltac2", "proof-engine/proof-handling", "proof-engine/ssreflect-proof-language", "proof-engine/tactics", "proof-engine/vernacular-commands", "proofs/automatic-tactics/auto", "proofs/automatic-tactics/index", "proofs/automatic-tactics/logic", "proofs/creating-tactics/index", "proofs/writing-proofs/equality", "proofs/writing-proofs/index", "proofs/writing-proofs/proof-mode", "proofs/writing-proofs/reasoning-inductives", "proofs/writing-proofs/rewriting", "std-glossindex", "user-extensions/proof-schemes", "user-extensions/syntax-extensions", "using/libraries/funind", "using/libraries/index", "using/libraries/writing", "using/tools/coqdoc", "using/tools/index", "zebibliography"], "filenames": ["addendum/canonical-structures.rst", "addendum/extended-pattern-matching.rst", "addendum/extraction.rst", "addendum/generalized-rewriting.rst", "addendum/implicit-coercions.rst", "addendum/micromega.rst", "addendum/miscellaneous-extensions.rst", "addendum/nsatz.rst", "addendum/parallel-proof-processing.rst", "addendum/program.rst", "addendum/rewrite-rules.rst", "addendum/ring.rst", "addendum/sprop.rst", "addendum/type-classes.rst", "addendum/universe-polymorphism.rst", "appendix/history-and-changes/index.rst", "appendix/indexes/index.rst", "changes.rst", "coq-attrindex.rst", "coq-cmdindex.rst", "coq-exnindex.rst", "coq-optindex.rst", "coq-tacindex.rst", "genindex.rst", "history.rst", "index.rst", "language/cic.rst", "language/coq-library.rst", "language/core/assumptions.rst", "language/core/basic.rst", "language/core/coinductive.rst", "language/core/conversion.rst", "language/core/definitions.rst", "language/core/index.rst", "language/core/inductive.rst", "language/core/modules.rst", "language/core/primitive.rst", "language/core/records.rst", "language/core/sections.rst", "language/core/sorts.rst", "language/core/variants.rst", "language/extensions/arguments-command.rst", "language/extensions/canonical.rst", "language/extensions/evars.rst", "language/extensions/implicit-arguments.rst", "language/extensions/index.rst", "language/extensions/match.rst", "language/gallina-extensions.rst", "language/gallina-specification-language.rst", "language/module-system.rst", "license.rst", "practical-tools/coq-commands.rst", "practical-tools/coqide.rst", "practical-tools/utilities.rst", "proof-engine/ltac.rst", "proof-engine/ltac2.rst", "proof-engine/proof-handling.rst", "proof-engine/ssreflect-proof-language.rst", "proof-engine/tactics.rst", "proof-engine/vernacular-commands.rst", "proofs/automatic-tactics/auto.rst", "proofs/automatic-tactics/index.rst", "proofs/automatic-tactics/logic.rst", "proofs/creating-tactics/index.rst", "proofs/writing-proofs/equality.rst", "proofs/writing-proofs/index.rst", "proofs/writing-proofs/proof-mode.rst", "proofs/writing-proofs/reasoning-inductives.rst", "proofs/writing-proofs/rewriting.rst", "std-glossindex.rst", "user-extensions/proof-schemes.rst", "user-extensions/syntax-extensions.rst", "using/libraries/funind.rst", "using/libraries/index.rst", "using/libraries/writing.rst", "using/tools/coqdoc.rst", "using/tools/index.rst", "zebibliography.rst"], "titles": ["<no title>", "<no title>", "Program extraction", "Generalized rewriting", "Implicit Coercions", "Micromega: solvers for arithmetic goals over ordered rings", "Program derivation", "Nsatz: a solver for equalities in integral domains", "Asynchronous and Parallel Proof Processing", "Program", "User-defined rewrite rules", "ring and field: solvers for polynomial and rational equations", "SProp (proof irrelevant propositions)", "Typeclasses", "Polymorphic Universes", "History and recent changes", "Indexes", "Recent changes", "Attribute index", "Command index", "Errors and warnings index", "Flags, options and tables index", "Tactic index", "General index", "Early history of Coq", "Introduction and Contents", "Typing rules", "The Coq libraries", "Functions and assumptions", "Basic notions and conventions", "Coinductive types and corecursive functions", "Conversion rules", "Definitions", "Core language", "Inductive types and recursive functions", "The Module System", "Primitive objects", "Record types", "Sections", "Sorts", "Variants and the match construct", "Setting properties of a function's arguments", "Canonical Structures", "Existential variables", "Implicit arguments", "Language extensions", "Extended pattern matching", "<no title>", "<no title>", "<no title>", "<no title>", "The Rocq Prover commands", "RocqIDE", "Building Rocq Projects", "Ltac", "Ltac2", "<no title>", "The SSReflect proof language", "Tactics", "Commands", "Programmable proof search", "Automatic solvers and programmable tactics", "Solvers for logic and equality", "Creating new tactics", "Reasoning with equalities", "Basic proof writing", "Proof mode", "Reasoning with inductive types", "<no title>", "Glossary index", "<no title>", "Syntax extensions and notation scopes", "Functional induction", "Libraries and plugins", "Writing Rocq libraries and plugins", "Documenting Rocq files with rocq doc", "Command-line and graphical tools", "Bibliography"], "terms": {"newcommand": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 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72, 73, 74, 75, 76, 77], "fix": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "forest": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "functor": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "In": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ind": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "3": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77], "1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "left": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "2": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathrm": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "right": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "indp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "4": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "indpstr": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "5": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "inject": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "length": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "letin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "let": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "list": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77], "lra": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "longrightarrow": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "match": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mod": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "zeroon": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "modimp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "moda": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "modtyp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mto": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nat": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nil": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nilhl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "_hl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nO": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "node": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "n": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 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21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "program": [0, 1, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ssreflect": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "t": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "m": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "x": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "author": [2, 3, 4, 5, 7, 8, 9, 11, 14, 17, 27, 29, 42, 46, 57, 73, 74], "jean": [2, 17, 24, 77], "christoph": [2, 17, 24, 77], "filli\u00e2tr": [2, 17, 24, 77], "pierr": [2, 17, 24, 77], "letouzei": [2, 17, 24, 77], "we": [2, 3, 4, 5, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 38, 39, 40, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "present": [2, 3, 6, 9, 11, 13, 15, 17, 24, 25, 26, 29, 30, 32, 33, 34, 37, 41, 42, 44, 45, 46, 50, 53, 54, 55, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 71, 73, 74, 75, 76], "here": [2, 3, 4, 5, 9, 11, 13, 14, 16, 17, 24, 29, 31, 33, 34, 35, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "command": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 25, 26, 27, 28, 29, 30, 32, 34, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 53, 54, 55, 58, 60, 62, 63, 64, 72, 73, 74], "us": [2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 39, 40, 41, 42, 45, 55, 57, 59, 60, 61, 62, 63, 65, 72, 73, 74, 75, 77], "build": [2, 5, 9, 11, 14, 17, 24, 25, 26, 27, 32, 33, 34, 37, 42, 46, 51, 54, 55, 57, 59, 60, 63, 65, 66, 67, 72, 75, 76, 77], "certifi": [2, 9, 17, 24, 77], "rel": [2, 14, 17, 26, 35, 51, 53, 55, 59, 71], "effici": [2, 11, 12, 13, 17, 25, 29, 36, 57, 60, 64, 77], "function": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 31, 33, 35, 36, 37, 39, 42, 45, 46, 51, 52, 55, 57, 58, 59, 62, 64, 67, 71, 73, 77], "them": [2, 3, 8, 9, 10, 11, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "from": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 36, 37, 38, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75, 77], "either": [2, 5, 8, 11, 14, 17, 26, 28, 29, 31, 34, 35, 36, 37, 39, 40, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "proof": [2, 3, 6, 7, 9, 11, 13, 17, 24, 26, 29, 30, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 51, 52, 53, 55, 59, 61, 62, 64, 67, 72, 73, 74, 75, 76, 77], "specif": [2, 3, 5, 9, 11, 24, 28, 31, 32, 34, 35, 36, 39, 40, 42, 51, 52, 53, 55, 57, 58, 59, 60, 61, 64, 66, 67, 71, 77], "The": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 46, 52, 54, 55, 58, 59, 60, 62, 63, 64, 65, 66, 67, 72, 73, 74, 76, 77], "avail": [2, 9, 11, 12, 13, 17, 24, 25, 27, 30, 35, 36, 37, 38, 40, 42, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 71, 72, 74, 75, 76, 77], "output": [2, 3, 4, 11, 14, 17, 24, 33, 42, 51, 52, 53, 54, 59, 60, 64, 66, 71, 75], "ar": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 63, 64, 65, 67, 71, 72, 73, 74, 75], "current": [2, 3, 4, 5, 8, 9, 10, 12, 14, 17, 24, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "ocaml": [2, 11, 17, 24, 25, 29, 32, 36, 51, 53, 54, 55, 63, 64, 66, 71, 73, 75], "haskel": [2, 13, 17, 24, 25, 57, 64, 77], "scheme": [2, 11, 17, 24, 25, 26, 27, 34, 37, 40, 46, 51, 57, 59, 62, 77], "follow": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "abus": [2, 55], "refer": [2, 3, 4, 5, 8, 10, 13, 14, 16, 24, 25, 28, 29, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 44, 46, 50, 51, 52, 53, 55, 57, 58, 60, 62, 64, 66, 67, 71, 72, 74, 75], "ani": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "three": [2, 4, 9, 11, 17, 24, 25, 34, 40, 52, 53, 54, 57, 59, 60, 67, 71], "chang": [2, 4, 5, 8, 9, 11, 13, 14, 25, 26, 28, 29, 31, 34, 36, 37, 38, 41, 43, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75], "version": [2, 3, 4, 7, 9, 13, 14, 15, 25, 29, 32, 35, 36, 37, 41, 46, 50, 51, 52, 57, 58, 59, 60, 62, 66, 73, 74, 75, 77], "8": [2, 3, 4, 13, 24, 25, 30, 35, 41, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 71, 75], "11": [2, 24, 25, 34, 53, 57, 60], "befor": [2, 4, 5, 13, 14, 17, 28, 29, 32, 34, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 74, 75], "describ": [2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 17, 24, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71, 72, 75], "thi": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76], "chapter": [2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 24, 26, 27, 29, 31, 32, 33, 34, 38, 40, 42, 45, 52, 54, 55, 57, 58, 59, 61, 63, 65, 71, 72, 73, 75, 76], "framework": [2, 17, 24], "should": [2, 3, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 32, 34, 35, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "first": [2, 4, 5, 6, 8, 9, 11, 13, 14, 15, 17, 24, 25, 26, 27, 35, 37, 38, 40, 41, 42, 43, 44, 51, 52, 53, 55, 58, 59, 60, 62, 64, 65, 66, 67, 71, 72, 74, 75, 77], "load": [2, 3, 5, 6, 7, 11, 17, 24, 25, 27, 29, 34, 35, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "explicitli": [2, 4, 12, 13, 14, 17, 24, 27, 28, 29, 34, 38, 39, 43, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "via": [2, 5, 8, 11, 17, 35, 51, 53, 54, 55, 57, 59, 71, 72], "corelib": [2, 6, 9, 35, 36, 51, 54, 57, 59, 64, 66], "requir": [2, 3, 5, 6, 7, 8, 9, 10, 11, 13, 14, 17, 24, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75], "file": [2, 3, 5, 6, 7, 8, 9, 11, 17, 24, 25, 27, 29, 34, 35, 41, 54, 55, 57, 60, 64, 71, 72, 73, 76], "runtim": [2, 3, 5, 6, 11, 17, 29, 34, 51, 53, 54, 55, 57, 59, 60, 72, 73], "plugin": [2, 3, 5, 6, 11, 12, 17, 24, 25, 29, 33, 34, 35, 53, 54, 55, 57, 59, 60, 63, 66, 71, 72], "done": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 29, 30, 32, 34, 35, 38, 40, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 72, 75], "qualifi": [2, 17, 24, 25, 28, 32, 38, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71], "identifi": [2, 3, 9, 14, 17, 24, 25, 28, 29, 30, 31, 35, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 72, 75], "qualid": [2, 3, 4, 5, 10, 11, 13, 14, 17, 29, 35, 37, 39, 40, 41, 42, 46, 51, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 74], "can": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "kind": [2, 8, 10, 11, 17, 25, 27, 29, 34, 42, 46, 53, 55, 57, 59, 67, 72], "global": [2, 3, 4, 5, 8, 9, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 39, 41, 42, 44, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 75], "object": [2, 3, 4, 8, 9, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 33, 35, 37, 38, 39, 40, 41, 42, 44, 51, 53, 55, 57, 59, 64, 67, 71, 72], "constant": [2, 4, 5, 6, 9, 10, 11, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 38, 41, 42, 44, 46, 51, 54, 55, 57, 58, 60, 64, 66, 67, 74], "constructor": [2, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 30, 31, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 71, 74], "modul": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 25, 27, 28, 29, 32, 33, 36, 37, 38, 40, 41, 42, 44, 51, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "name": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 67, 71, 72, 74, 75], "recurs": [2, 5, 9, 17, 24, 25, 31, 32, 33, 37, 40, 41, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 75, 77], "string": [2, 11, 13, 14, 17, 25, 29, 40, 51, 53, 54, 55, 57, 59, 64, 66, 74, 75], "two": [2, 3, 4, 5, 8, 9, 10, 11, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 31, 34, 36, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75], "form": [2, 3, 4, 5, 6, 7, 9, 11, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 35, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "displai": [2, 9, 12, 14, 16, 17, 25, 35, 37, 41, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66], "term": [2, 3, 4, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 53, 57, 58, 59, 60, 62, 63, 66, 67, 72, 75], "conveni": [2, 4, 6, 12, 17, 24, 28, 29, 33, 34, 35, 44, 46, 52, 53, 54, 57, 66, 67, 71], "preview": [2, 52], "result": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 27, 31, 32, 34, 39, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "second": [2, 3, 4, 8, 9, 10, 11, 13, 15, 17, 24, 25, 26, 28, 35, 37, 38, 40, 42, 44, 51, 52, 53, 55, 57, 59, 60, 64, 66, 67, 71, 75], "all": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73], "depend": [2, 3, 7, 8, 9, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 40, 42, 43, 44, 51, 52, 54, 55, 57, 60, 62, 64, 66, 71, 72, 77], "third": [2, 3, 17, 25, 40, 41, 44, 51, 52, 53, 54, 57, 58, 75], "produc": [2, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 29, 32, 34, 36, 38, 40, 41, 44, 52, 53, 54, 55, 57, 64, 66, 71, 72, 73, 74, 75], "singl": [2, 3, 4, 13, 14, 17, 24, 25, 28, 29, 30, 34, 35, 37, 40, 44, 46, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "specifi": [2, 3, 4, 5, 6, 8, 9, 11, 13, 17, 24, 25, 28, 29, 32, 34, 35, 36, 37, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "local": [2, 3, 4, 5, 9, 13, 17, 24, 25, 26, 28, 30, 31, 32, 34, 41, 42, 52, 55, 59, 62, 64, 66, 67, 75], "renam": [2, 17, 24, 25, 34, 37, 55, 57, 58, 59, 71, 74], "need": [2, 3, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 28, 29, 31, 32, 34, 35, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 76], "fulfil": [2, 17, 67], "syntact": [2, 3, 11, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 35, 37, 39, 41, 57, 58, 59, 64, 66, 71, 74], "keep": [2, 3, 12, 14, 17, 24, 33, 34, 36, 42, 46, 52, 53, 55, 57, 64, 67], "origin": [2, 3, 4, 9, 11, 17, 24, 29, 31, 34, 38, 43, 44, 46, 53, 57, 58, 62, 64, 66, 67, 71], "much": [2, 11, 13, 17, 25, 33, 51, 53, 57, 59, 63, 64, 71], "possibl": [2, 3, 4, 5, 8, 9, 11, 13, 14, 17, 24, 27, 28, 31, 34, 35, 37, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "also": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "work": [2, 3, 4, 5, 9, 10, 12, 13, 17, 24, 25, 26, 27, 32, 35, 41, 42, 43, 46, 51, 52, 54, 55, 57, 58, 59, 64, 67, 71, 74, 77], "directori": [2, 14, 17, 24, 27, 35, 51, 52, 53, 59, 60, 71, 75], "It": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "inspect": [2, 17, 57, 59], "what": [2, 3, 5, 10, 13, 16, 17, 24, 25, 27, 29, 33, 34, 35, 41, 42, 46, 51, 53, 54, 55, 57, 59, 60, 64, 66, 67, 71], "pwd": [2, 14, 59], "cd": [2, 17, 53], "librari": [2, 5, 7, 8, 11, 25, 29, 35, 40, 41, 52, 54, 55, 57, 58, 64, 66, 67, 72, 75], "ident": [2, 3, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 43, 44, 46, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74], "whole": [2, 3, 9, 11, 17, 29, 40, 46, 51, 52, 53, 55, 57, 59, 71, 75], "v": [2, 3, 7, 8, 11, 12, 13, 14, 17, 24, 25, 26, 27, 34, 35, 37, 42, 44, 46, 51, 52, 53, 54, 58, 59, 67, 71, 75], "an": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 58, 60, 62, 63, 64, 66, 71, 72, 74, 75, 77], "clash": [2, 17, 53, 54, 57], "prefix": [2, 3, 9, 11, 14, 17, 24, 27, 28, 34, 35, 38, 40, 41, 42, 44, 51, 52, 54, 57, 58, 59, 64, 66, 67, 71, 75], "coq_": 2, "ensur": [2, 10, 13, 14, 17, 24, 30, 34, 39, 52, 55, 59, 64, 71, 72], "session": [2, 14, 17, 51, 52, 59], "independ": [2, 13, 14, 17, 24, 34, 51, 52, 53, 54, 55, 57, 67], "other": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 67, 71, 72, 76], "separ": [2, 3, 10, 14, 17, 24, 25, 26, 29, 33, 34, 35, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 67, 71, 74], "mention": [2, 3, 14, 17, 24, 26, 34, 39, 44, 46, 51, 54, 57, 58, 60, 64, 66, 71], "just": [2, 3, 4, 8, 9, 11, 13, 17, 24, 28, 31, 34, 35, 37, 41, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "instead": [2, 3, 4, 7, 8, 11, 12, 13, 14, 17, 24, 26, 28, 33, 34, 35, 36, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "one": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 74, 75, 77], "monolith": [2, 17], "split": [2, 17, 25, 29, 34, 42, 51, 54, 57, 58, 60, 66, 67, 75], "per": [2, 3, 11, 17, 24, 52, 53, 57, 59, 71], "correspond": [2, 3, 8, 9, 11, 13, 14, 15, 17, 24, 26, 28, 33, 34, 35, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "henc": [2, 3, 4, 5, 8, 9, 13, 14, 17, 26, 34, 37, 42, 51, 53, 54, 57, 58, 64, 67, 71], "quit": [2, 3, 11, 13, 17, 25, 34, 42, 54, 55, 57, 60], "similar": [2, 3, 5, 9, 13, 17, 24, 26, 34, 35, 37, 38, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72, 74, 75], "except": [2, 3, 4, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 31, 34, 35, 36, 38, 40, 43, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 75], "onli": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "part": [2, 3, 10, 11, 13, 15, 17, 24, 25, 27, 29, 34, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 66, 67, 71, 72, 73, 74], "convent": [2, 17, 25, 33, 42, 51, 57, 59, 71], "same": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "meant": [2, 3, 14, 17, 55, 59, 64], "help": [2, 3, 8, 13, 14, 15, 16, 17, 24, 25, 27, 29, 41, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 67, 75], "automat": [2, 3, 5, 7, 9, 10, 13, 14, 17, 24, 25, 27, 28, 35, 37, 40, 42, 46, 52, 53, 54, 55, 57, 58, 60, 64, 65, 66, 71, 72, 75, 77], "test": [2, 3, 4, 9, 10, 11, 13, 17, 24, 25, 29, 30, 34, 42, 46, 55, 57, 59, 66], "see": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "instanc": [2, 4, 5, 10, 11, 12, 14, 17, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "suit": [2, 17, 53, 57, 58, 63], "sourc": [2, 4, 5, 14, 24, 25, 51, 52, 53, 55, 57, 71, 73], "testcompil": [2, 17], "temporari": [2, 14, 17, 24, 57], "Then": [2, 4, 5, 11, 14, 24, 26, 27, 29, 32, 34, 41, 42, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 74, 75], "its": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "signatur": [2, 3, 11, 17, 24, 34, 35, 54, 55, 59], "compil": [2, 3, 8, 9, 10, 11, 12, 24, 25, 26, 27, 29, 32, 35, 36, 38, 46, 54, 55, 57, 64, 66, 73, 74, 75, 77], "built": [2, 4, 11, 17, 24, 25, 26, 31, 32, 34, 37, 41, 42, 52, 53, 54, 58, 60, 61, 62, 67, 71, 72], "succe": [2, 3, 13, 17, 25, 44, 46, 51, 55, 57, 58, 59, 60, 62, 64, 66], "fail": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 52, 53, 55, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "show": [2, 3, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 27, 34, 35, 37, 38, 42, 51, 52, 53, 54, 57, 58, 59, 60, 64, 67, 71], "where": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 29, 30, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "deprec": [2, 4, 13, 17, 25, 28, 29, 32, 35, 41, 51, 55, 58, 59, 60, 64, 66, 71, 72], "sinc": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 28, 30, 34, 35, 37, 41, 42, 44, 46, 51, 52, 53, 54, 57, 58, 59, 60, 66, 67, 71, 74, 75], "20": [2, 3, 25, 46, 54, 57, 67, 77], "line": [2, 8, 10, 12, 14, 24, 25, 26, 29, 42, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71], "If": [2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 17, 26, 28, 29, 30, 32, 34, 35, 37, 38, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "accord": [2, 11, 17, 26, 34, 35, 41, 51, 53, 55, 57, 59, 60, 64, 71], "which": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 72, 73, 75], "valid": [2, 3, 4, 5, 8, 10, 11, 14, 17, 25, 26, 29, 32, 34, 35, 40, 42, 51, 54, 55, 57, 58, 59, 66, 71, 72], "path": [2, 4, 5, 17, 24, 25, 35, 51, 52, 54, 60], "otherwis": [2, 3, 9, 13, 14, 17, 28, 29, 34, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73], "doe": [2, 3, 4, 5, 8, 9, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 38, 39, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "json": [2, 17, 51, 53, 59], "abil": [2, 3, 11, 12, 13, 17, 30, 52], "most": [2, 3, 4, 10, 12, 17, 24, 27, 29, 34, 38, 41, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 63, 64, 66, 67, 71, 72, 73], "import": [2, 3, 4, 5, 7, 9, 11, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 36, 38, 40, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "default": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "mostli": [2, 3, 17, 24, 52, 57, 60], "develop": [2, 3, 12, 13, 14, 17, 24, 25, 27, 32, 35, 42, 44, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 74, 77], "debug": [2, 5, 9, 13, 14, 17, 24, 25, 28, 52, 53, 57, 58, 60, 62, 64, 66, 72], "contain": [2, 5, 7, 8, 10, 13, 14, 15, 17, 24, 27, 29, 30, 31, 34, 35, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "raw": [2, 14, 17, 54, 55, 71], "intermediari": [2, 64], "strict": [2, 5, 13, 14, 17, 24, 25, 31, 39, 41, 42, 54, 57, 58, 59, 60, 66, 71], "ha": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74], "order": [2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 32, 34, 35, 37, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 60, 61, 62, 64, 66, 67, 71, 72, 75, 77], "when": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 51, 52, 53, 54, 55, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "principl": [2, 5, 17, 24, 25, 27, 30, 34, 37, 51, 57, 58, 63, 64, 71, 77], "do": [2, 3, 4, 7, 8, 10, 13, 14, 17, 24, 25, 29, 31, 32, 34, 35, 37, 38, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "want": [2, 11, 13, 17, 34, 35, 36, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 74], "comput": [2, 3, 7, 8, 9, 11, 17, 24, 25, 29, 30, 32, 34, 35, 36, 37, 41, 42, 46, 52, 55, 57, 59, 67, 71, 72, 77], "call": [2, 3, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 39, 40, 42, 44, 45, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72], "ones": [2, 3, 4, 6, 8, 13, 14, 17, 25, 28, 34, 35, 37, 44, 46, 52, 53, 54, 57, 58, 59, 63, 66, 67, 71, 75], "so": [2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 29, 31, 32, 34, 35, 36, 37, 38, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 74, 75], "mechan": [2, 3, 4, 9, 10, 13, 17, 24, 25, 29, 34, 38, 41, 46, 51, 52, 53, 55, 59, 64, 65, 66, 71, 72, 77], "provid": [2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 24, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "routin": 2, "each": [2, 3, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 26, 29, 30, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74, 75], "time": [2, 3, 5, 8, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 36, 37, 41, 42, 44, 46, 52, 55, 57, 58, 59, 64, 66, 67, 71], "group": [2, 4, 17, 24, 37, 42, 52, 53, 54, 57, 58, 60], "preserv": [2, 5, 14, 17, 24, 25, 29, 30, 34, 42, 55, 57, 64, 67, 71], 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17, 29, 31, 37, 52, 53, 57, 58, 62, 72, 73], "mai": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75, 77], "appear": [2, 6, 9, 10, 11, 13, 14, 17, 24, 28, 29, 31, 34, 35, 37, 38, 39, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "modular": [2, 17, 24], "nevertheless": [2, 17], "print": [2, 5, 6, 8, 11, 12, 13, 17, 24, 25, 27, 29, 31, 34, 35, 36, 38, 39, 41, 42, 51, 52, 53, 57, 58, 60, 62, 64, 66, 67, 74], "concern": [2, 12, 17, 24, 26], "less": [2, 4, 8, 11, 14, 17, 24, 34, 46, 51, 53, 54, 55, 57, 59, 60, 64, 71, 77], "becaus": [2, 3, 4, 8, 11, 12, 14, 17, 24, 26, 28, 29, 31, 33, 34, 35, 37, 39, 40, 41, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "lazi": [2, 8, 9, 12, 17, 24, 55, 64], "still": [2, 3, 7, 9, 10, 13, 17, 24, 29, 32, 34, 36, 37, 38, 42, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 74], "make": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "readabl": [2, 17, 24, 29, 53, 57, 64, 71, 75], "control": [2, 3, 13, 14, 16, 17, 24, 25, 34, 37, 41, 51, 52, 53, 55, 60, 62, 67, 71, 75], "flag": [2, 4, 5, 8, 9, 10, 12, 13, 14, 16, 24, 25, 26, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71], "made": [2, 3, 14, 17, 24, 29, 34, 35, 38, 41, 46, 51, 53, 54, 55, 57, 58, 64, 66, 71, 72, 75], "beta": [2, 11, 17, 24, 55, 57, 58, 64, 71, 77], "redex": [2, 17, 25, 31, 34, 64, 71], "simplif": [2, 11, 17, 24, 25, 41, 54, 67], "etc": [2, 4, 9, 14, 17, 24, 25, 26, 27, 33, 35, 42, 44, 45, 51, 52, 53, 54, 55, 57, 59, 71, 75], "turn": [2, 8, 10, 12, 13, 14, 17, 24, 27, 29, 32, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "off": [2, 8, 10, 12, 13, 14, 17, 24, 29, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71], "you": [2, 3, 4, 7, 8, 10, 11, 13, 14, 15, 16, 17, 24, 25, 27, 29, 32, 34, 35, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "close": [2, 3, 4, 5, 7, 9, 11, 14, 17, 24, 28, 29, 32, 34, 35, 38, 44, 51, 52, 55, 57, 59, 60, 64, 66, 67, 71, 75], "conserv": [2, 17], "try": [2, 3, 11, 14, 17, 24, 25, 34, 35, 40, 41, 43, 46, 53, 55, 57, 60, 62, 64, 66, 67, 71], "sure": [2, 4, 17, 35, 52, 53, 58, 71], "impli": [2, 3, 10, 14, 17, 24, 30, 34, 57, 67, 71], "respect": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 34, 38, 40, 42, 44, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74, 75], "keepsingleton": [2, 17], "normal": [2, 3, 4, 5, 11, 17, 24, 26, 29, 30, 31, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 64, 66, 67, 71, 72, 77], "singleton": [2, 13, 17, 24, 34, 54, 58], "structur": [2, 3, 4, 8, 9, 13, 17, 24, 25, 32, 34, 35, 36, 37, 38, 40, 44, 45, 53, 54, 58, 59, 66, 67, 71, 72, 77], "seen": [2, 4, 13, 14, 17, 24, 32, 34, 55, 57, 67, 71], "alia": [2, 17, 24, 29, 35, 46, 55, 58], "inner": [2, 14, 17, 35, 42, 43, 54, 55, 57, 59, 62, 64, 66, 67, 71, 75], "typic": [2, 4, 6, 12, 14, 17, 24, 28, 29, 30, 34, 35, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 67, 71], "sig": [2, 17, 27, 28, 35, 67, 71], "allow": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72], "disabl": [2, 8, 9, 12, 13, 14, 17, 25, 28, 32, 34, 35, 37, 44, 51, 52, 54, 57, 59, 64, 66], "wish": [2, 5, 17, 53], "autoinlin": [2, 17], "enabl": [2, 4, 7, 8, 9, 10, 11, 12, 13, 14, 17, 25, 29, 34, 37, 42, 51, 52, 53, 54, 57, 58, 59, 60, 67, 75], "bodi": [2, 4, 6, 13, 14, 17, 24, 32, 35, 37, 38, 41, 42, 44, 51, 55, 57, 58, 59, 64, 72, 75], "defin": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 62, 64, 66, 67, 71, 72, 74, 77], "heurist": [2, 5, 14, 17, 55, 57, 58, 66], "like": [2, 4, 8, 9, 10, 11, 13, 14, 17, 24, 26, 27, 29, 32, 34, 35, 38, 39, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "size": [2, 3, 9, 13, 17, 24, 34, 37, 51, 52, 55, 57, 59, 64, 71, 72], "recursor": [2, 17], "_rect": [2, 17, 34, 35, 40, 71, 72], "_rec": [2, 34, 35, 40, 71, 72], "nat_rect": [2, 27, 34, 59], "project": [2, 3, 9, 10, 12, 13, 14, 15, 17, 24, 25, 27, 29, 30, 34, 40, 41, 42, 51, 52, 54, 55, 57, 59, 60, 64, 72, 73, 74, 76], "few": [2, 3, 17, 24, 27, 29, 34, 35, 36, 37, 51, 52, 53, 55, 57, 58, 71, 73, 75], "andb": [2, 13, 17, 27, 62], "orb": [2, 27, 57, 62], "behaviour": [2, 17, 38, 53], "well": [2, 3, 4, 8, 9, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 31, 32, 33, 35, 37, 39, 43, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 67, 71, 72, 74, 75], "found": [2, 4, 5, 9, 11, 13, 17, 25, 29, 30, 34, 35, 36, 38, 39, 42, 46, 51, 54, 55, 57, 58, 59, 62, 64, 67, 71, 72, 75], "combin": [2, 3, 5, 9, 12, 14, 17, 24, 25, 26, 27, 29, 34, 37, 40, 42, 46, 52, 53, 54, 55, 57, 59, 63, 64, 75], "featur": [2, 3, 8, 11, 17, 24, 25, 29, 32, 33, 35, 36, 44, 46, 51, 52, 53, 54, 55, 57, 59, 66, 71, 72, 73, 74, 76], "alwai": [2, 3, 4, 6, 9, 10, 11, 12, 13, 14, 17, 24, 26, 34, 35, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 71, 74, 75], "dure": [2, 9, 11, 13, 14, 17, 24, 25, 37, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "noinlin": 2, "convers": [2, 3, 7, 8, 9, 11, 12, 13, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 54, 55, 57, 58, 60, 66, 71, 75], "never": [2, 13, 14, 17, 24, 35, 41, 42, 44, 51, 54, 55, 57, 58, 60, 64], "state": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 27, 29, 31, 32, 37, 51, 52, 54, 55, 57, 58, 59, 62, 64, 67, 71], "tabl": [2, 3, 4, 16, 17, 24, 25, 27, 35, 37, 38, 46, 51, 53, 54, 55, 57, 59, 67, 71, 75], "record": [2, 3, 8, 10, 11, 12, 13, 14, 17, 24, 25, 30, 33, 34, 42, 54, 55, 57, 59, 60, 62, 67, 71], "custom": [2, 3, 11, 13, 17, 24, 25, 29, 36, 53, 54, 57], "declar": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 43, 46, 51, 53, 54, 58, 59, 60, 64, 71, 72, 75], "previou": [2, 3, 4, 8, 9, 11, 13, 15, 17, 24, 27, 29, 31, 34, 37, 40, 41, 42, 45, 46, 51, 52, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 74], "reset": [2, 17, 24, 29, 30, 34, 40, 41, 46, 51, 52, 54, 59, 72], "empti": [2, 3, 5, 7, 12, 13, 17, 24, 26, 34, 40, 43, 51, 53, 55, 57, 58, 59, 60, 67, 71, 72], "ask": [2, 3, 17, 25, 42, 43, 53], "mean": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 59, 64, 65, 66, 71], "both": [2, 3, 4, 11, 14, 17, 24, 25, 26, 27, 28, 29, 31, 34, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 61, 64, 66, 67, 73, 74], "But": [2, 11, 17, 34, 39, 41, 46, 51, 53, 54, 64, 75], "For": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "reason": [2, 3, 5, 9, 10, 11, 17, 24, 25, 34, 44, 51, 53, 54, 55, 57, 59, 62, 65, 71, 72, 75, 77], "decis": [2, 17, 24, 25, 58, 62, 64, 77], "taken": [2, 9, 13, 17, 24, 34, 36, 42, 44, 53, 57, 64, 67, 71], "whether": [2, 3, 9, 10, 12, 13, 14, 17, 29, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 71, 75], "occurr": [2, 3, 11, 14, 17, 24, 25, 26, 43, 44, 46, 52, 54, 55, 59, 60, 64, 71], "replac": [2, 3, 4, 7, 9, 10, 11, 17, 24, 25, 28, 31, 32, 34, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 74, 75], "manual": [2, 11, 24, 25, 29, 50, 52, 53, 57, 60, 66, 67, 71], "perform": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 26, 34, 41, 42, 46, 51, 54, 55, 57, 60, 62, 64, 66, 67, 71, 72], "wai": [2, 3, 5, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75], "complementari": [2, 17, 24, 42, 57], "main": [2, 8, 9, 11, 13, 17, 25, 27, 29, 34, 40, 41, 51, 52, 53, 54, 55, 57, 60, 64, 71], "logic": [2, 3, 9, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 34, 35, 39, 51, 57, 58, 59, 61, 66, 67, 75, 77], "implicit": [2, 3, 5, 9, 13, 17, 24, 25, 28, 33, 34, 37, 38, 42, 43, 45, 51, 53, 55, 57, 58, 59, 66, 67, 75], "integ": [2, 3, 7, 11, 14, 17, 24, 25, 29, 34, 39, 52, 53, 54, 55, 57, 59, 60, 64, 66], "thei": [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 73, 74, 75], "omit": [2, 3, 8, 14, 17, 27, 28, 29, 30, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 75], "position": [2, 58], "start": [2, 3, 6, 8, 9, 13, 17, 24, 25, 26, 27, 29, 32, 34, 35, 37, 40, 41, 42, 44, 46, 52, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 74, 75], "actual": [2, 3, 5, 8, 11, 14, 17, 24, 34, 37, 42, 43, 44, 46, 54, 55, 57, 60, 64, 67, 71, 72], "take": [2, 3, 5, 8, 11, 12, 13, 17, 24, 26, 28, 29, 31, 32, 37, 40, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71, 75], "place": [2, 3, 17, 32, 40, 43, 51, 53, 57, 58, 59, 64, 66, 67, 71, 75], "error": [2, 3, 4, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "rais": [2, 3, 10, 13, 17, 29, 35, 54, 55, 64, 72], "cannot": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 26, 28, 29, 32, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "honor": [2, 8, 17, 51, 57, 71], "occur": [2, 3, 4, 8, 17, 24, 26, 28, 30, 34, 37, 38, 41, 42, 44, 46, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "final": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 29, 35, 40, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71, 75], "behavior": [2, 3, 4, 11, 13, 14, 17, 24, 29, 30, 32, 34, 41, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 75], "relax": [2, 17, 30, 44, 53, 57, 60], "safeimplicit": 2, "warn": [2, 3, 4, 10, 12, 13, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 62, 66, 71, 72], "emit": [2, 10, 12, 13, 17, 34, 53, 71, 74], "obtain": [2, 3, 4, 5, 17, 34, 36, 54, 55, 57, 58, 64, 67, 72, 75], "nonetheless": [2, 17, 30, 32, 36, 51, 66], "review": [2, 17, 27], "locat": [2, 17, 24, 25, 35, 51, 52, 53, 54, 55], "issu": [2, 3, 24, 25, 46, 52, 54, 55, 58, 64, 66, 71, 73], "comment": [2, 5, 17, 24, 25, 29, 52, 54, 57, 60, 66, 75], "mark": [2, 12, 17, 24, 31, 35, 37, 38, 41, 44, 51, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71], "remain": [2, 3, 9, 11, 13, 14, 17, 24, 34, 36, 39, 41, 42, 44, 46, 52, 57, 58, 64, 66], "note": [2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 77], "might": [2, 3, 5, 13, 17, 46, 51, 53, 55, 57, 62, 64, 67, 71, 72, 75], "run": [2, 5, 8, 9, 13, 14, 17, 24, 25, 29, 51, 53, 57, 59, 60, 64, 66, 71, 73], "properli": [2, 8, 9, 10, 17, 29, 52, 53, 57, 59, 66], "encount": [2, 11, 17, 52, 53, 54, 64], "inform": [2, 3, 4, 10, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 37, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 72, 75, 77], "remind": [2, 3, 57], "inconsist": [2, 8, 10, 12, 14, 17, 24, 26, 34, 39, 44, 51, 59, 66, 67, 71], "lead": [2, 10, 14, 17, 24, 26, 29, 34, 39, 57, 58, 60, 64, 71, 74, 75], "incorrect": [2, 8, 12, 14, 17, 25, 34, 37, 46, 52, 57, 66], "termin": [2, 8, 9, 17, 24, 25, 27, 29, 30, 32, 34, 35, 38, 52, 55, 59, 60, 66, 71, 72], "assum": [2, 3, 5, 11, 13, 17, 26, 27, 28, 32, 34, 35, 36, 38, 39, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71, 75], "while": [2, 3, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73], "proposit": [2, 3, 5, 10, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 39, 40, 51, 57, 58, 62, 64, 66, 67, 77], "perfectli": 2, "content": [2, 17, 24, 27, 32, 35, 42, 51, 52, 53, 54, 57, 59, 66, 71, 75], "must": [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 37, 39, 40, 41, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "cours": [2, 14, 17, 24, 42, 51, 52, 57, 64, 71], "guess": [2, 4, 11, 17, 32, 43, 53, 57, 67], "tell": [2, 3, 11, 17, 24, 34, 41, 42, 44, 46, 51, 55, 57, 60, 64, 67, 71, 75], "given": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "tv": 2, "give": [2, 3, 4, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 40, 41, 42, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 75], "ariti": [2, 17, 24, 25, 46, 55], "sequenc": [2, 3, 5, 17, 24, 25, 28, 29, 30, 46, 51, 57, 58, 59, 60, 64, 66, 71, 75], "product": [2, 3, 5, 10, 11, 13, 14, 17, 24, 26, 27, 28, 34, 36, 39, 40, 46, 54, 55, 57, 59, 60, 64, 66, 67, 71], "variabl": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 45, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 75], "quot": [2, 5, 13, 17, 24, 25, 28, 29, 44, 51, 55, 59, 66, 71, 75], "number": [2, 3, 4, 5, 7, 11, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 36, 37, 39, 40, 41, 42, 43, 44, 46, 52, 53, 55, 57, 58, 59, 62, 64, 66, 67, 72, 74, 77], "check": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "y": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 77], "b": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 77], "recogn": [2, 4, 5, 8, 11, 17, 24, 29, 34, 46, 51, 52, 55, 62, 67, 71, 75], "becom": [2, 8, 11, 17, 24, 26, 28, 34, 35, 40, 44, 46, 52, 53, 55, 57, 58, 59, 64, 66, 67, 71], "int": [2, 3, 17, 36, 55, 71, 75], "0": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 41, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75, 77], "respons": [2, 10, 17, 52, 55, 75], "expect": [2, 3, 4, 11, 12, 14, 17, 24, 26, 29, 31, 32, 33, 34, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 60, 64, 67, 71], "fact": [2, 5, 11, 14, 17, 24, 28, 32, 34, 39, 41, 42, 46, 54, 55, 57, 58, 62, 64, 66, 67, 71, 75], "copi": [2, 17, 36, 46, 52, 53, 54, 57, 75], "everywher": [2, 17, 55, 58, 64], "being": [2, 3, 9, 11, 12, 13, 14, 17, 24, 32, 33, 34, 35, 37, 38, 40, 42, 46, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 72, 75], "sugar": [2, 7, 17, 28, 54, 55, 59, 77], "effect": [2, 3, 9, 11, 13, 14, 17, 24, 25, 29, 30, 34, 35, 38, 43, 51, 52, 53, 54, 57, 59, 64, 66, 71, 75], "alreadi": [2, 4, 13, 17, 24, 27, 28, 32, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 73], "foreign": [2, 17], "wa": [2, 3, 10, 11, 12, 17, 24, 27, 28, 29, 32, 34, 35, 37, 38, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72], "previous": [2, 13, 17, 28, 34, 38, 52, 54, 57, 59, 71], "would": [2, 3, 4, 11, 14, 17, 28, 29, 30, 31, 32, 34, 37, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "overrid": [2, 14, 17, 37, 51, 53, 57, 66, 67, 71], "been": [2, 3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 73, 74], "definit": [2, 4, 8, 10, 11, 13, 17, 24, 25, 26, 27, 28, 29, 31, 33, 35, 36, 38, 41, 42, 43, 44, 51, 53, 58, 59, 60, 62, 66, 67, 72, 73, 74, 75, 77], "fill": [2, 9, 13, 17, 25, 52, 55, 57, 62, 71], "label": [2, 8, 14, 17, 29, 54, 59], "TO": 2, "BE": 2, "search": [2, 4, 5, 7, 13, 17, 24, 25, 42, 44, 51, 52, 53, 61, 62, 64], "insid": [2, 3, 4, 8, 9, 13, 14, 17, 24, 25, 28, 29, 34, 35, 38, 46, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "real": [2, 3, 7, 11, 24, 25, 34, 46, 53, 55, 66, 67, 71], "nativ": [2, 5, 10, 12, 24, 25, 36, 51, 55, 58, 59, 64], "boolean": [2, 5, 9, 11, 13, 14, 17, 24, 25, 27, 29, 34, 37, 39, 40, 42, 55, 59, 60, 62, 64, 67, 71], "syntax": [2, 4, 5, 6, 8, 9, 11, 13, 14, 25, 26, 27, 30, 32, 34, 35, 37, 39, 40, 41, 42, 43, 45, 51, 52, 53, 58, 59, 60, 63, 64, 66, 75, 77], "itself": [2, 3, 8, 9, 11, 12, 13, 14, 17, 30, 34, 39, 40, 41, 42, 43, 44, 51, 53, 54, 55, 57, 58, 60, 63, 64, 67, 71], "initi": [2, 6, 7, 11, 13, 17, 24, 27, 29, 38, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "datatyp": [2, 17, 24, 25, 26, 35, 44, 46, 54, 55, 57, 59, 60, 67, 71], "pattern": [2, 9, 13, 17, 24, 25, 27, 28, 30, 32, 34, 40, 41, 42, 45, 60, 64, 67, 72, 77], "charact": [2, 8, 10, 13, 14, 17, 24, 25, 27, 29, 35, 36, 40, 44, 46, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "char": [2, 17, 53], "prelud": [2, 17, 25, 29, 51, 59, 66], "liter": [2, 5, 17, 29, 36, 42, 54, 55, 57, 71], "handl": [2, 3, 8, 9, 11, 17, 24, 26, 37, 43, 46, 53, 55, 57, 58, 59, 61, 62, 66, 67, 71], "special": [2, 3, 4, 9, 12, 13, 16, 17, 24, 25, 27, 28, 29, 34, 51, 52, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "design": [2, 8, 11, 17, 24, 25, 37, 44, 57, 64, 71, 77], "regist": [2, 3, 4, 5, 7, 9, 11, 13, 17, 25, 32, 42, 57, 64, 67, 71, 72], "standard": [2, 3, 5, 9, 14, 25, 27, 29, 35, 36, 40, 51, 52, 53, 54, 58, 59, 62, 64, 65, 66, 67, 72, 73, 74, 75], "indic": [2, 8, 11, 12, 13, 14, 17, 24, 26, 31, 34, 35, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 62, 64, 66, 67, 71], "how": [2, 7, 8, 13, 17, 24, 25, 27, 29, 30, 34, 35, 37, 42, 43, 45, 51, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 74, 77], "over": [2, 3, 11, 14, 17, 24, 25, 26, 27, 28, 30, 32, 34, 37, 38, 39, 40, 41, 42, 44, 46, 52, 53, 54, 58, 59, 60, 61, 62, 64, 66, 67], "could": [2, 3, 4, 5, 6, 11, 12, 17, 24, 29, 31, 34, 37, 42, 46, 51, 52, 55, 57, 58, 60, 62, 66, 71, 72, 73], "arbitrari": [2, 3, 5, 10, 11, 14, 17, 24, 31, 44, 46, 53, 57, 60, 62, 71], "k": [2, 3, 6, 14, 17, 24, 26, 34, 42, 54, 57, 67, 72, 77], "emul": [2, 12, 17, 40, 57], "branch": [2, 5, 9, 17, 25, 34, 40, 45, 46, 55, 59, 60, 66, 67, 72], "element": [2, 3, 11, 12, 17, 25, 26, 27, 34, 35, 36, 46, 57, 59, 60, 71], "destruct": [2, 13, 17, 24, 25, 34, 54, 55, 57, 58, 64, 71], "foo": [2, 11, 14, 17, 29, 35, 38, 40, 43, 51, 52, 53, 55, 57, 58, 59, 64, 66, 71, 74, 75], "fun": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 75], "consid": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 34, 37, 41, 42, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 73, 75], "unit": [2, 12, 13, 14, 17, 27, 34, 40, 46, 53, 54, 55, 57, 62, 64, 71], "block": [2, 9, 10, 14, 17, 25, 29, 30, 34, 37, 38, 44, 46, 54, 64, 65, 67], "earli": [2, 15, 17, 25, 26, 54, 64], "evalu": [2, 3, 9, 11, 17, 24, 25, 28, 30, 34, 35, 41, 53, 57, 60, 64, 71], "bar": [2, 8, 14, 17, 29, 35, 51, 52, 53, 55, 57, 64, 66, 71, 74], "As": [2, 3, 5, 6, 9, 10, 11, 13, 14, 17, 26, 28, 30, 34, 36, 37, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72], "care": [2, 13, 14, 17, 46, 53, 54, 64, 67, 71, 75], "pre": [2, 17, 25, 53, 60], "sound": [2, 17, 34], "ad": [2, 4, 9, 13, 14, 17, 24, 25, 29, 34, 37, 42, 44, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 77], "hoc": [2, 3, 17, 71, 77], "often": [2, 3, 10, 13, 14, 17, 25, 28, 43, 46, 52, 53, 54, 55, 57, 58, 66], "fulli": [2, 3, 8, 17, 24, 26, 28, 31, 32, 35, 38, 44, 51, 52, 53, 54, 55, 58, 59, 64, 66, 71, 72], "rigor": [2, 24], "correct": [2, 8, 9, 11, 17, 24, 25, 28, 32, 35, 46, 51, 53, 57, 59, 64, 66, 67, 71], "theoret": [2, 17, 24, 31, 39, 77], "valu": [2, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 42, 43, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "larger": [2, 13, 14, 17, 25, 51, 52, 57, 60, 71, 75], "than": [2, 3, 5, 8, 11, 12, 13, 14, 17, 24, 29, 30, 31, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "max_int": 2, "overflow": [2, 17, 59, 66, 71], "bad": [2, 11, 12, 14, 17, 34, 59, 64], "event": [2, 17, 51], "practic": [2, 3, 5, 17, 24, 25, 32, 34, 39, 42, 53, 55, 57, 58, 64, 66, 71, 74, 77], "translat": [2, 3, 17, 24, 25, 33, 41, 45, 57, 71, 75], "magic": [2, 17, 24, 55, 59], "improv": [2, 3, 8, 11, 17, 24, 29, 52, 54, 57, 67], "asymptot": [2, 59], "complex": [2, 11, 17, 24, 25, 29, 33, 35, 52, 54, 55, 57, 59, 61, 63, 66, 67], "represent": [2, 3, 5, 11, 12, 17, 24, 29, 34, 37, 51, 53, 57, 64, 71], "mul": [2, 5, 17, 36, 52, 57, 59, 71], "stai": [2, 27], "quadrat": [2, 17], "interest": [2, 4, 5, 11, 17, 24, 31, 42, 54, 57, 67], "associ": [2, 3, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 36, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67], "primit": [2, 10, 12, 13, 14, 17, 24, 25, 27, 30, 33, 34, 41, 46, 54, 55, 57, 64, 67], "counterpart": [2, 3, 9, 11, 17, 30, 34, 57], "bool": [2, 3, 4, 5, 12, 13, 17, 24, 27, 30, 35, 36, 37, 40, 41, 42, 44, 46, 55, 57, 58, 59, 60, 71], "true": [2, 3, 4, 5, 7, 9, 11, 12, 13, 14, 17, 24, 26, 27, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 62, 64, 67, 71, 74], "fals": [2, 4, 5, 9, 10, 12, 13, 17, 24, 27, 34, 37, 40, 41, 46, 51, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71], "sumbool": [2, 27, 46, 71], "enclos": [2, 29, 41, 53, 54, 55, 66, 71, 75], "parenthes": [2, 3, 8, 17, 24, 28, 29, 35, 37, 46, 54, 55, 57, 58, 67, 71], "meet": [2, 9, 71], "lexic": [2, 17, 25, 51, 59, 71, 75], "criteria": [2, 17, 72], "infix": [2, 14, 17, 24, 25, 27, 42, 57, 58, 64, 74], "symbol": [2, 3, 11, 14, 17, 24, 25, 27, 28, 29, 31, 41, 42, 43, 46, 57, 59, 60, 62, 64, 67, 71, 75, 77], "rest": [2, 3, 13, 17, 26, 29, 36, 42, 52, 57, 66], "prod": [2, 17, 26, 27, 34, 46, 62, 67], "caveat": [2, 17, 25, 55, 57, 60], "abov": [2, 3, 5, 11, 13, 14, 17, 24, 28, 30, 34, 37, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 75], "succ": [2, 24, 54, 59, 64], "fo": 2, "els": [2, 4, 9, 11, 12, 13, 17, 29, 30, 35, 40, 41, 46, 52, 54, 55, 57, 59, 62, 67, 71, 75], "interfac": [2, 17, 24, 25, 35, 52, 53, 66, 74, 75, 76], "link": [2, 16, 17, 24, 27, 46, 53, 57, 72, 75], "linker": [2, 24], "know": [2, 8, 17, 24, 27, 32, 34, 42, 46, 52, 53, 54, 55, 57, 59, 60, 62, 64, 67, 71], "extern": [2, 5, 11, 13, 17, 29, 33, 52, 54, 55, 59, 60, 63, 66, 73, 74, 75], "shall": [2, 17, 24, 26, 31, 34, 39, 42, 57, 71], "access": [2, 5, 14, 17, 24, 25, 28, 32, 33, 34, 35, 36, 38, 44, 51, 52, 53, 55, 57, 59, 71], "callback": [2, 17], "referenc": [2, 17, 53, 71], "stdlib": [2, 3, 5, 7, 9, 11, 12, 14, 17, 27, 28, 29, 35, 51, 53, 54, 55, 57, 59, 60, 64, 67, 72, 75], "f_impl": 2, "compat": [2, 3, 4, 13, 14, 24, 25, 29, 34, 42, 51, 52, 53, 58, 62, 63, 64, 71], "support": [2, 3, 4, 5, 6, 8, 9, 11, 13, 14, 17, 24, 25, 30, 32, 34, 35, 36, 37, 40, 41, 42, 44, 51, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76], "thrown": 2, "after": [2, 4, 5, 7, 8, 9, 11, 13, 17, 24, 29, 32, 34, 35, 38, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "callabl": 2, "express": [2, 3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 39, 40, 41, 43, 44, 57, 58, 59, 60, 64, 66, 67, 75], "signal": [2, 8, 17, 57], "alias": [2, 17, 24, 25, 29, 35, 55], "uniqu": [2, 3, 12, 13, 17, 24, 31, 35, 38, 57, 59, 67, 71], "multipl": [2, 3, 4, 9, 14, 17, 24, 25, 27, 29, 34, 35, 40, 44, 52, 58, 59, 60, 64, 66, 67, 71], "expos": [2, 17, 25, 40, 41, 57, 71], "share": [2, 11, 13, 14, 17, 24, 28, 29, 34, 46, 51, 52, 53, 57, 59, 60, 64, 67, 71], "impact": [2, 17, 53, 66, 71], "synthesis": 2, "thu": [2, 3, 4, 5, 10, 12, 17, 24, 32, 34, 42, 43, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "safeti": 2, "registr": [2, 17, 25], "usabl": [2, 17, 24, 38, 52, 66, 67, 71], "togeth": [2, 3, 9, 17, 24, 25, 27, 31, 34, 35, 43, 53, 54, 55, 57, 66, 71, 75], "map": [2, 3, 5, 13, 17, 24, 25, 26, 34, 35, 36, 39, 41, 44, 51, 53, 57, 58, 59, 60, 71, 72, 75], "directli": [2, 3, 4, 9, 13, 14, 17, 24, 27, 28, 34, 43, 51, 52, 53, 55, 57, 58, 60, 64, 67, 72, 75], "happen": [2, 4, 9, 10, 13, 17, 34, 38, 46, 52, 54, 55, 57, 58, 64, 71, 72], "instruct": [2, 5, 17, 53, 58, 59], "particular": [2, 3, 6, 9, 10, 12, 13, 17, 29, 30, 31, 32, 33, 34, 37, 38, 40, 42, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71, 75], "blacklist": [2, 17, 59], "includ": [2, 3, 5, 8, 9, 12, 13, 14, 17, 24, 25, 27, 28, 29, 34, 35, 36, 38, 39, 40, 41, 43, 44, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 73, 75], "natur": [2, 5, 7, 9, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 34, 35, 37, 39, 40, 42, 44, 46, 52, 53, 57, 58, 59, 62, 64, 66, 71, 72], "finer": [2, 17, 34, 57], "grain": [2, 17, 41], "bit": [2, 5, 17, 29, 30, 34, 36, 51, 53, 66, 71, 75, 77], "mask": [2, 35], "unless": [2, 3, 13, 14, 17, 29, 40, 41, 42, 44, 51, 52, 57, 58, 64, 71, 72, 75], "treatment": [2, 9, 17, 40], "fixpoint": [2, 3, 10, 13, 17, 24, 25, 27, 29, 30, 31, 32, 37, 38, 41, 44, 46, 52, 57, 59, 64, 66, 67, 71, 72], "simplifi": [2, 11, 17, 24, 41, 54, 57, 64, 67], "redux": 2, "factor": [2, 5, 11, 17, 25, 34, 45], "16": [2, 25, 53, 54, 57, 71], "32": [2, 17, 36, 51, 53, 66], "6": [2, 9, 25, 29, 35, 53, 54, 55, 57, 58, 71, 74, 77], "64": [2, 36, 51, 66], "swap": [2, 17, 54, 57, 58], "lambda": [2, 3, 10, 11, 17, 31, 52, 55, 64, 67, 71, 77], "7": [2, 11, 25, 54, 57, 64, 71, 74, 75, 77], "128": 2, "256": 2, "push": [2, 17, 57, 71], "9": [2, 24, 25, 29, 30, 35, 53, 54, 57, 64, 71, 74, 77], "512": 2, "linear": [2, 3, 11, 14, 17, 24, 25, 46, 51, 54, 55, 57, 64], "10": [2, 5, 24, 25, 29, 31, 52, 54, 57, 59, 60, 64, 71, 74, 77], "1024": 2, "typeexpand": 2, "expand": [2, 13, 14, 17, 28, 29, 30, 31, 35, 37, 41, 46, 52, 54, 55, 57, 58, 64, 67, 71], "learn": [2, 17, 25, 54, 72], "written": [2, 3, 5, 11, 13, 17, 24, 26, 28, 29, 34, 35, 36, 37, 42, 43, 44, 46, 52, 53, 54, 55, 57, 59, 64, 71, 73, 74], "due": [2, 3, 13, 14, 17, 24, 27, 30, 34, 46, 52, 54, 55, 59, 64, 66, 67, 71, 72, 73], "typabl": [2, 4, 34], "now": [2, 3, 4, 11, 13, 14, 17, 24, 26, 27, 30, 34, 35, 41, 42, 46, 51, 52, 53, 54, 55, 57, 59, 60, 64, 67, 71, 72, 74], "solv": [2, 3, 5, 7, 11, 13, 17, 24, 25, 39, 42, 44, 57, 60, 61, 62, 64, 67], "problem": [2, 4, 7, 9, 13, 17, 24, 29, 34, 42, 44, 46, 51, 52, 53, 54, 58, 62, 66, 67], "least": [2, 3, 12, 13, 17, 25, 28, 29, 30, 34, 41, 46, 52, 53, 57, 58, 64, 66, 67, 71, 72, 74, 75], "unsaf": [2, 17, 55, 66], "cast": [2, 12, 17, 25, 40, 46, 54, 55, 57, 58, 60, 64, 71], "obj": [2, 24, 42], "veri": [2, 8, 9, 11, 13, 17, 24, 25, 27, 29, 34, 42, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67], "polymorph": [2, 3, 13, 17, 24, 25, 26, 29, 30, 31, 32, 33, 37, 39, 40, 41, 44, 46, 51, 59, 66, 67, 71], "alright": 2, "refus": [2, 3, 64], "checker": [2, 9, 11, 17, 24, 25, 26, 29, 33, 73], "known": [2, 8, 10, 12, 13, 17, 24, 27, 30, 33, 34, 39, 41, 44, 51, 55, 57, 66, 71], "distr": 2, "dp": [2, 17], "foral": [2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 36, 37, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "direct": [2, 9, 12, 16, 17, 24, 31, 34, 42, 46, 52, 53, 57, 58, 71], "restrict": [2, 3, 12, 14, 17, 24, 26, 34, 35, 40, 51, 54, 57, 58, 59, 60, 62, 67, 71], "secondli": [2, 17], "quantif": [2, 3, 4, 13, 14, 17, 24, 26, 27, 28, 60, 67], "anyth": [2, 13, 17, 35, 44, 46, 51, 55, 57, 58, 64, 75], "anything_rect": 2, "anything_ind": 2, "anything_rec": 2, "anything_sind": 2, "dynam": [2, 11, 13, 17, 25, 36, 59, 71], "gadt": 2, "yet": [2, 17, 42, 43, 46, 51, 52, 54, 55, 57, 58, 60, 66, 71, 72], "those": [2, 3, 5, 10, 11, 12, 17, 24, 26, 33, 34, 35, 37, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "get": [2, 5, 9, 11, 13, 14, 17, 24, 25, 28, 29, 34, 36, 42, 51, 52, 53, 55, 58, 59, 60, 64, 66, 67], "segment": [2, 17, 24, 52, 59, 71], "fault": [2, 24, 71], "your": [2, 3, 8, 11, 14, 15, 17, 25, 29, 51, 52, 54, 55, 57, 58, 59, 60, 62, 66, 71, 73, 74, 75], "seem": [2, 5, 17, 71], "ill": [2, 4, 9, 10, 17, 24, 26, 30, 34, 51, 55, 64, 71, 72], "go": [2, 5, 9, 17, 24, 30, 42, 51, 52, 54, 55, 57, 59, 60, 64, 67, 71, 75], "wrong": [2, 3, 17, 24, 44, 51, 54, 66, 72], "come": [2, 6, 8, 13, 17, 24, 27, 34, 43, 51, 52, 54, 55, 57, 59, 60, 64, 71], "Of": [2, 14, 42, 51, 57], "launch": [2, 13, 17, 25, 52, 53], "appli": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 41, 42, 44, 46, 51, 53, 54, 55, 59, 60, 62, 66, 71, 72, 75], "shape": [2, 3, 57], "point": [2, 3, 11, 13, 17, 24, 25, 26, 32, 34, 35, 36, 39, 51, 52, 53, 54, 55, 57, 66, 71], "view": [2, 11, 17, 25, 26, 29, 32, 34, 39, 41, 52, 55, 60, 66], "about": [2, 3, 5, 11, 13, 14, 15, 17, 24, 25, 29, 30, 34, 37, 39, 41, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72], "let02": [2, 77], "sai": [2, 3, 4, 17, 24, 26, 27, 28, 29, 31, 34, 42, 52, 53, 54, 55, 57, 58, 64, 71, 74], "though": [2, 8, 9, 17, 24, 29, 35, 37, 46, 51, 53, 54, 55, 64, 67, 71], "realist": [2, 42], "accept": [2, 3, 8, 13, 17, 24, 28, 29, 30, 32, 34, 40, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 72], "without": [2, 3, 5, 8, 9, 11, 13, 14, 17, 24, 26, 29, 32, 33, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75, 77], "below": [2, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 31, 34, 35, 38, 40, 41, 43, 51, 52, 53, 54, 55, 57, 64, 66, 71, 72, 74, 75], "choos": [2, 3, 17, 32, 34, 42, 43, 52, 53, 54, 57, 58, 67, 71, 72, 75], "everyth": [2, 17, 52, 53], "slight": [2, 17, 24, 58], "modif": [2, 4, 11, 17, 36, 41, 58, 71], "find": [2, 3, 4, 5, 7, 11, 13, 14, 16, 17, 25, 27, 29, 34, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 72, 77], "Its": [2, 3, 11, 17, 24, 52, 55, 57, 60, 67, 74], "euclid": [2, 17, 24], "unari": [2, 3, 26, 29, 34, 64], "repres": [2, 3, 5, 11, 13, 14, 17, 24, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 40, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71], "theorem": [2, 5, 7, 8, 11, 12, 17, 24, 25, 27, 29, 32, 33, 35, 37, 38, 42, 43, 51, 52, 57, 59, 60, 62, 65, 66, 71, 73, 74, 75, 77], "eucl_dev": 2, "whose": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 31, 33, 34, 35, 37, 39, 41, 42, 44, 46, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 75], "diveucl": 2, "quotient": [2, 5, 17, 40, 57, 64], "modulo": [2, 4, 5, 11, 17, 24, 34, 54, 57, 58, 59, 71], "assert": [2, 17, 24, 25, 26, 28, 34, 41, 54, 55, 57, 58, 62, 64, 66, 67, 71], "disappear": [2, 17, 24, 34, 55, 60, 67, 71], "wf_nat": [2, 17, 24], "gt_wf_rec": 2, "lt_wf_rec": [2, 24], "induction_ltof2": 2, "val": [2, 34, 55, 57], "sub": [2, 4, 8, 17, 36, 41, 46, 51, 53, 54, 57, 59, 60, 67, 71], "rec": [2, 17, 24, 35, 54, 55, 75], "le_lt_dec": [2, 17, 24], "n0": [2, 9, 31, 46, 57, 58, 67, 72], "n1": [2, 9, 34, 53, 57, 72], "le_gt_dec": 2, "divex": 2, "d": [2, 4, 5, 11, 14, 17, 24, 26, 34, 46, 51, 52, 53, 54, 57, 58, 62, 67, 75, 77], "q": [2, 3, 5, 7, 10, 11, 12, 17, 24, 27, 34, 35, 46, 51, 53, 54, 55, 57, 58, 59, 67, 71, 75], "r": [2, 3, 5, 7, 9, 11, 13, 14, 17, 24, 27, 28, 34, 35, 37, 41, 44, 51, 53, 54, 57, 58, 59, 60, 64, 67, 71, 72, 75, 77], "mandatori": [2, 8, 17, 32, 57, 66, 71], "enhanc": [2, 17, 52, 57], "past": [2, 17, 52, 64], "u": [2, 3, 4, 9, 10, 11, 14, 17, 24, 26, 27, 31, 34, 35, 38, 39, 41, 42, 46, 51, 53, 54, 55, 57, 58, 62, 64, 67, 71], "plai": [2, 17, 26, 42, 64, 66], "toplevel": [2, 10, 13, 14, 17, 24, 25, 27, 29, 35, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 71, 72, 74], "easier": [2, 10, 17, 24, 45, 52, 57, 58, 67, 71], "nat_of_int": 2, "int_of_nat": 2, "div": [2, 3, 5, 11, 17, 59], "173": [2, 14], "15": [2, 13, 25, 52, 53, 57, 66], "mere": [2, 17, 55, 57, 64, 71], "extrocamlintconv": 2, "concret": [2, 13, 14, 17, 25, 26, 29, 34, 42, 46, 51, 57, 64, 71], "patholog": 2, "success": [2, 3, 4, 5, 13, 17, 24, 25, 34, 51, 52, 55, 57, 59, 60, 62, 64, 66, 67, 74], "sever": [2, 3, 4, 5, 11, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 64, 65, 67, 71, 72, 75, 76], "chain": [2, 17, 25, 51, 64, 71, 74], "http": [2, 5, 17, 24, 25, 27, 50, 51, 52, 53, 59, 64, 75, 77], "github": [2, 5, 17, 51, 52], "com": [2, 5, 17, 51, 52, 54], "coq": [2, 8, 9, 11, 13, 15, 17, 25, 26, 29, 30, 46, 51, 53, 54, 55, 57, 58, 59, 63, 66, 71, 72, 73, 75, 76, 77], "commun": [2, 17, 24, 27, 29, 51], "hydra": 2, "battl": 2, "bdd": 2, "contrib": [2, 17, 24, 53, 55], "canon": [2, 4, 5, 11, 13, 17, 24, 25, 30, 32, 34, 35, 37, 38, 44, 45, 53, 57, 59, 71, 77], "chines": [2, 24], "continu": [2, 17, 24, 52, 53, 54, 55, 57, 71, 73], "fire": [2, 14, 17], "squad": 2, "founifi": 2, "graph": [2, 14, 17, 24, 25, 39, 54, 72], "higman": 2, "cf": [2, 9, 17, 24, 29, 34, 40, 42, 46, 59, 67], "nw": 2, "hardwar": [2, 8, 24], "multipli": [2, 57], "stalmarck": [2, 24], "probabl": [2, 17, 32, 44, 51, 54, 57, 58, 59, 75], "heavi": 2, "impred": [2, 12, 14, 17, 24, 25, 34, 51, 53, 77], "thank": [2, 5, 12, 17, 24, 34, 42, 55, 57, 64, 71], "matthieu": [3, 9, 14, 17, 77], "sozeau": [3, 9, 14, 17, 77], "equal": [3, 5, 8, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 39, 40, 42, 44, 46, 52, 54, 55, 57, 58, 60, 61, 65, 71, 72, 77], "equip": [3, 4, 17, 24, 27, 36, 42, 64], "equival": [3, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 46, 51, 52, 53, 54, 55, 59, 60, 62, 64, 66, 67, 71, 75], "behav": [3, 11, 17, 24, 28, 29, 31, 34, 35, 43, 53, 54, 55, 57, 58, 60, 62, 64, 67, 71], "weaker": [3, 17, 24, 60], "g": [3, 4, 5, 8, 9, 10, 13, 14, 17, 24, 27, 28, 29, 30, 31, 34, 35, 36, 41, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "system": [3, 8, 9, 11, 17, 24, 25, 26, 27, 28, 29, 32, 33, 34, 38, 39, 46, 51, 52, 53, 54, 55, 57, 59, 60, 62, 71, 73, 77], "toolbox": [3, 17], "extend": [3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 37, 40, 41, 42, 45, 51, 52, 53, 55, 59, 60, 71, 77], "capabl": [3, 17, 51, 53, 54, 55, 64], "document": [3, 8, 9, 11, 12, 16, 17, 24, 25, 42, 51, 52, 54, 55, 57, 59, 64, 65, 66, 67, 71, 72, 74, 76], "adapt": [3, 7, 17, 24, 51, 57, 63], "claudio": [3, 17, 24], "sacerdoti": [3, 17, 24], "coen": [3, 17, 24], "base": [3, 5, 10, 11, 12, 13, 14, 17, 24, 25, 29, 33, 35, 39, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75, 77], "cl\u00e9ment": [3, 17], "renard": [3, 24], "implement": [3, 8, 11, 12, 13, 17, 24, 25, 29, 34, 35, 36, 37, 39, 43, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 77], "drop": [3, 17, 51, 54, 59, 71], "old": [3, 11, 24, 25, 51, 53, 55, 58, 60, 66, 67], "complet": [3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 24, 29, 30, 32, 34, 36, 40, 42, 51, 52, 53, 54, 57, 58, 59, 60, 62, 66, 67, 71], "typeclass": [3, 4, 5, 7, 17, 25, 35, 37, 38, 44, 45, 58, 60, 64, 66, 71], "infrastructur": [3, 25, 42, 53], "algorithm": [3, 7, 9, 11, 13, 17, 24, 25, 41, 51, 54, 57, 59, 62, 66, 77], "constraint": [3, 5, 8, 9, 10, 13, 17, 24, 25, 34, 35, 39, 43, 44, 51, 53, 54, 55, 58, 67, 71], "ml": [3, 5, 6, 8, 11, 17, 24, 25, 26, 29, 34, 36, 46, 51, 52, 53, 54, 57, 59, 60, 63, 64, 72, 77], "resolut": [3, 13, 17, 24, 25, 58, 60, 66, 71, 75], "anoth": [3, 4, 9, 11, 13, 14, 17, 24, 27, 31, 32, 34, 35, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 63, 64, 66, 67, 71], "pure": [3, 7, 11, 17, 55, 57, 64, 71, 72, 75], "again": [3, 13, 17, 24, 34, 42, 52, 53, 55, 57, 60, 64, 66, 71], "ordinari": [3, 17, 26, 37, 39, 71], "rocq": [3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 50, 52, 54, 55, 58, 59, 62, 63, 64, 65, 66, 67, 72, 73, 76], "manipul": [3, 9, 10, 17, 24, 25, 34, 37, 39, 55, 57, 63, 77], "put": [3, 5, 13, 14, 17, 34, 35, 43, 51, 53, 54, 57, 58, 59, 60, 66, 67, 71, 72, 75], "lemma": [3, 5, 11, 13, 14, 17, 24, 25, 32, 34, 35, 36, 38, 42, 44, 46, 54, 57, 58, 59, 60, 62, 64, 67, 72], "prove": [3, 5, 7, 8, 9, 11, 17, 24, 25, 27, 30, 32, 34, 35, 42, 43, 57, 58, 60, 62, 64, 72, 77], "higher": [3, 14, 17, 24, 25, 27, 40, 51, 54, 57, 58, 59, 60, 64, 67, 71, 73, 77], "depth": [3, 5, 13, 17, 29, 54, 57, 58, 59, 60, 62, 64, 71, 75], "solut": [3, 5, 13, 17, 42, 44, 58, 59, 63, 67], "fast": [3, 17, 24, 25, 53], "besid": [3, 17, 24, 34, 57], "necessari": [3, 4, 9, 13, 17, 24, 29, 31, 33, 37, 53, 55, 57, 59, 62, 64, 67, 71], "nicola": [3, 17, 77], "tabareau": [3, 17, 77], "glu": 3, "A": [3, 4, 5, 7, 9, 10, 11, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76, 77], "x1": [3, 9, 13, 17, 27, 42, 54, 57, 59, 60, 72], "t1": [3, 13, 17, 34, 42, 46, 57], "xn": [3, 9, 17, 57], "tn": [3, 13, 17, 57], "carrier": [3, 11, 14, 42, 57], "said": [3, 4, 17, 26, 34, 36, 42, 44, 55, 59, 71], "possibli": [3, 4, 17, 24, 34, 35, 42, 43, 51, 53, 54, 57, 59, 64, 67, 71, 73], "paramet": [3, 4, 5, 7, 8, 13, 14, 17, 24, 25, 28, 29, 34, 37, 40, 41, 42, 43, 44, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 72], "finit": [3, 5, 17, 24, 30, 34], "unord": [3, 17, 57], "set_eq": 3, "satisfi": [3, 4, 5, 11, 13, 14, 17, 30, 34, 35, 54, 55, 59, 64, 67, 71], "convert": [3, 4, 12, 13, 14, 17, 25, 26, 34, 37, 41, 44, 54, 55, 57, 58, 64, 67], "reflex": [3, 5, 6, 11, 13, 17, 24, 27, 34, 36, 51, 54, 57, 59, 60, 62, 64, 66, 67, 71], "symmetri": [3, 17, 24, 34, 44, 57, 60, 64], "transit": [3, 7, 8, 13, 14, 17, 24, 25, 26, 35, 41, 44, 51, 54, 57, 58, 59, 60, 64, 66, 74], "symmetr": [3, 17, 24, 31, 59, 64, 71], "a1": [3, 27, 34, 46, 57, 58, 71], "a2": [3, 27, 34, 58], "covariantli": 3, "r1": [3, 5, 17, 27, 41, 44, 57, 59], "r2": [3, 17, 27, 41, 44, 57, 59], "whenev": [3, 7, 14, 17, 27, 29, 42, 55, 57, 62, 64, 67, 71], "imag": [3, 11, 17, 24, 51, 52, 66], "input": [3, 4, 9, 10, 13, 14, 17, 25, 27, 29, 35, 44, 46, 51, 54, 57, 58, 60, 64, 71, 72, 74, 75], "monoton": [3, 4, 17], "i_": [3, 34, 57], "r_1": 3, "r_2": 3, "notic": [3, 4, 5, 17, 26, 34, 35, 38, 46, 51, 52, 54, 57, 58, 64, 66, 71, 72, 74], "arrow": [3, 4, 14, 17, 52, 57, 60, 64, 67], "reader": [3, 11, 24, 29, 31, 42, 57], "between": [3, 4, 10, 11, 13, 14, 17, 24, 25, 26, 27, 29, 33, 34, 38, 39, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 64, 65, 67, 71, 72, 75], "introduc": [3, 5, 8, 10, 11, 13, 14, 17, 24, 25, 28, 30, 31, 34, 35, 37, 38, 43, 44, 46, 51, 52, 55, 57, 58, 59, 60, 62, 66, 67, 71, 72, 75], "straightforwardli": 3, "ari": [3, 17, 34], "simultan": [3, 17, 24, 25, 26, 30, 32, 34, 42, 53, 57, 58], "everi": [3, 9, 11, 12, 13, 14, 17, 28, 29, 34, 40, 51, 52, 54, 55, 57, 58, 64, 71], "argument": [3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 38, 40, 42, 43, 45, 51, 52, 54, 55, 58, 59, 60, 62, 64, 66, 72, 75], "invers": [3, 11, 17, 24, 25, 31, 58, 60, 64, 72, 77], "t_1": [3, 26, 31, 34, 35], "ldot": [3, 7, 34], "t_n": [3, 26, 34, 66], "union": [3, 13, 17, 54, 59, 66, 77], "append": [3, 17, 29, 35, 43, 53, 54, 66, 75], "binari": [3, 5, 7, 11, 14, 17, 24, 29, 37, 42, 51, 53, 57, 58, 60, 64, 71], "latter": [3, 11, 17, 28, 34, 35, 42, 51, 54, 55, 57, 58, 64, 66, 67, 75], "condit": [3, 4, 9, 11, 17, 24, 25, 30, 50, 53, 59, 60, 63, 64, 66, 67], "s1": [3, 30, 38, 57], "s2": [3, 30], "divis": [3, 11, 17, 24, 25, 57], "rdiv": [3, 5], "le": [3, 5, 13, 14, 17, 24, 27, 42, 46, 52, 55, 57, 64, 67, 77], "usual": [3, 8, 9, 12, 17, 25, 26, 27, 28, 30, 34, 35, 37, 40, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "leibniz": [3, 5, 7, 11, 13, 17, 24, 25, 27, 35, 40, 57, 58, 67], "unfortun": [3, 5, 17, 42, 46, 57], "intend": [3, 17, 24, 28, 32, 39, 51, 57, 64, 66, 71], "next": [3, 9, 13, 17, 24, 27, 29, 33, 34, 42, 44, 46, 51, 52, 54, 55, 57, 60, 64, 65, 66, 67, 71], "section": [3, 5, 6, 7, 8, 9, 10, 11, 12, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 67, 71, 74], "deal": [3, 5, 8, 13, 17, 24, 25, 42, 46, 57, 60, 64, 71, 72], "exact": [3, 12, 14, 17, 24, 25, 35, 40, 43, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71], "goal": [3, 6, 7, 8, 9, 12, 13, 14, 17, 24, 25, 27, 29, 31, 34, 35, 36, 37, 38, 42, 43, 44, 52, 53, 59, 60, 61, 62, 64, 71, 72, 74], "howev": [3, 4, 5, 9, 12, 13, 14, 17, 24, 27, 29, 34, 36, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 72], "verifi": [3, 7, 9, 11, 14, 17, 24, 25, 29, 31, 32, 33, 35, 51, 60, 66], "verif": [3, 24, 25, 32, 66, 67, 77], "consist": [3, 4, 5, 11, 13, 14, 17, 24, 27, 30, 31, 34, 35, 52, 55, 57, 58, 59, 64, 65, 66, 71], "composit": [3, 71], "some": [3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 71, 72, 73, 75], "obviou": [3, 34, 57, 71], "suppos": [3, 9, 17, 55, 57, 64], "hypothesi": [3, 9, 11, 17, 24, 25, 27, 28, 29, 34, 38, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 75], "h": [3, 4, 6, 9, 11, 12, 13, 14, 17, 24, 27, 34, 40, 44, 46, 51, 54, 55, 57, 58, 62, 64, 66, 67, 72, 75, 77], "These": [3, 11, 13, 14, 17, 24, 25, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 52, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "attribut": [3, 5, 9, 13, 14, 16, 25, 28, 30, 32, 34, 37, 40, 41, 42, 44, 51, 54, 55, 59, 60, 62, 64, 66, 71, 74], "univers": [3, 4, 8, 9, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 37, 39, 40, 44, 46, 51, 54, 57, 59, 62, 66, 67, 71, 77], "add": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 29, 31, 32, 34, 37, 41, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75], "one_term": [3, 5, 7, 11, 13, 29, 34, 54, 58, 60, 62, 64, 67, 71, 72], "aeq": 3, "\u03b1": [3, 14, 25, 54, 55, 57], "typeabl": 3, "fresh": [3, 14, 17, 24, 25, 31, 34, 53, 57, 58, 64, 66, 67, 71], "intern": [3, 5, 11, 14, 17, 24, 25, 31, 34, 37, 44, 51, 53, 54, 55, 58, 60, 62, 66, 67, 71, 72, 73, 74, 77], "although": [3, 5, 9, 17, 35, 37, 53, 55, 57, 58, 60, 64, 66], "depart": 3, "To": [3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 17, 24, 25, 27, 29, 30, 32, 34, 37, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 74, 75], "eq": [3, 5, 11, 14, 17, 27, 35, 40, 42, 54, 57, 58, 59, 64, 67, 71], "refl_equ": [3, 17, 57], "properti": [3, 4, 6, 9, 11, 12, 13, 17, 24, 25, 26, 27, 30, 31, 32, 34, 38, 39, 42, 45, 46, 57, 58, 67, 72, 77], "deriv": [3, 5, 9, 13, 17, 24, 25, 26, 30, 34, 38, 40, 54, 64, 66, 73], "autorewrit": [3, 17, 24, 60], "abl": [3, 8, 11, 13, 14, 17, 24, 25, 34, 42, 44, 46, 51, 53, 55, 57, 58, 59, 61, 62, 67], "defined": 3, "interact": [3, 6, 10, 13, 17, 24, 25, 32, 33, 37, 38, 40, 42, 43, 52, 59, 65, 66, 67, 71, 75, 76, 77], "denot": [3, 4, 11, 17, 24, 26, 28, 29, 30, 34, 35, 39, 40, 42, 43, 52, 54, 57, 58, 67, 71], "small": [3, 5, 8, 11, 14, 17, 25, 26, 33, 34, 39, 42, 44, 52, 53, 57, 64], "theori": [3, 4, 5, 11, 17, 24, 25, 26, 27, 28, 29, 39, 42, 46, 51, 53, 57, 58, 60, 62, 67, 71, 77], "homogen": [3, 17], "export": [3, 5, 8, 9, 11, 13, 17, 24, 29, 35, 38, 51, 52, 54, 55, 59, 60, 71], "relation_definit": [3, 13, 17, 42, 59], "eq_set": 3, "axiom": [3, 6, 7, 9, 10, 11, 12, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74], "eq_set_refl": 3, "eq_set_sym": 3, "eq_set_tran": 3, "empty_neutr": 3, "union_compat": 3, "eq_set_rel": 3, "eq_set_rel_rel": 3, "eq_set_rel_reflex": 3, "eq_set_rel_symmetr": 3, "eq_set_rel_transit": 3, "union_mor": 3, "x0": [3, 13, 17, 37, 43, 44, 54, 66, 71], "y0": [3, 13, 43], "No": [3, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 30, 34, 35, 36, 40, 42, 44, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74], "qed": [3, 5, 6, 8, 9, 12, 13, 14, 17, 24, 29, 32, 34, 36, 38, 40, 42, 51, 52, 54, 57, 58, 59, 60, 62, 64, 66, 67, 72], "reduc": [3, 7, 8, 10, 11, 12, 13, 17, 24, 26, 31, 32, 34, 36, 37, 40, 41, 44, 51, 53, 57, 58, 59, 60, 64, 66, 67, 71], "burden": [3, 63], "maxim": [3, 13, 17, 25, 41, 51, 57, 71, 77], "insert": [3, 4, 9, 12, 13, 17, 24, 25, 29, 41, 46, 52, 53, 55, 57, 66, 71, 75], "write": [3, 4, 8, 11, 13, 14, 17, 24, 25, 26, 27, 29, 31, 32, 33, 34, 38, 39, 43, 51, 53, 54, 55, 57, 58, 59, 63, 66, 67, 71, 73, 75], "proce": [3, 11, 13, 52, 57, 71], "simpl": [3, 4, 10, 11, 17, 24, 25, 29, 37, 41, 42, 43, 46, 52, 53, 54, 57, 58, 59, 60, 62, 67, 72], "step": [3, 5, 7, 11, 13, 17, 24, 25, 26, 29, 41, 51, 52, 53, 54, 58, 60, 64, 65, 67], "applic": [3, 5, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 35, 36, 37, 41, 46, 52, 55, 57, 59, 60, 64, 66, 67, 71, 72, 77], "establish": [3, 17, 57], "intro": [3, 5, 11, 12, 13, 17, 24, 25, 34, 42, 43, 44, 52, 54, 55, 60, 62, 64, 66, 67, 71, 72], "manag": [3, 13, 17, 24, 25, 32, 38, 51, 53, 57, 59, 60, 62, 73], "hypothes": [3, 5, 9, 13, 17, 24, 25, 28, 32, 34, 51, 57, 60, 62, 64, 67, 71], "One": [3, 8, 9, 13, 14, 17, 25, 31, 32, 34, 37, 38, 39, 44, 51, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "cmd": [3, 17, 38, 51, 52, 54], "exist": [3, 4, 5, 9, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74], "outsid": [3, 5, 9, 11, 12, 13, 14, 17, 28, 29, 35, 38, 40, 41, 42, 43, 53, 54, 59, 60, 66, 71], "suffix": [3, 17, 35, 51, 52, 53, 54, 57, 59, 71, 75], "_morphism": 3, "modifi": [3, 4, 8, 11, 13, 14, 17, 24, 25, 29, 36, 38, 41, 51, 52, 54, 55, 57, 58, 64, 66, 67, 71], "themselv": [3, 13, 14, 17, 26, 35, 37, 39, 41, 42, 53, 57, 59, 64, 71], "exploit": [3, 17, 24, 57, 67], "monotoni": 3, "hand": [3, 10, 12, 13, 17, 25, 27, 29, 33, 35, 52, 53, 54, 55, 57, 58, 64, 67, 71, 72], "partial": [3, 13, 17, 24, 34, 35, 37, 44, 51, 53, 54, 57, 59, 62, 66, 71, 72], "domain": [3, 5, 11, 14, 17, 24, 25, 26, 34, 42, 61, 64, 71], "compris": [3, 24], "eqo": 3, "smallest": [3, 5, 27, 34, 67], "nonzero": [3, 11, 37, 54], "eq0": 3, "open": [3, 5, 6, 11, 13, 17, 25, 27, 35, 36, 38, 50, 52, 54, 55, 57, 59, 60, 64, 66], "addit": [3, 4, 5, 8, 9, 13, 17, 24, 25, 27, 29, 31, 34, 35, 39, 51, 52, 53, 54, 55, 58, 59, 62, 64, 65, 66, 67, 71, 72, 73], "up": [3, 8, 13, 17, 24, 25, 26, 31, 34, 35, 38, 42, 43, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 75], "longer": [3, 9, 17, 24, 31, 34, 38, 44, 52, 53, 58, 66, 67, 71], "posit": [3, 4, 5, 7, 9, 10, 11, 14, 17, 24, 25, 30, 36, 37, 39, 41, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "z": [3, 5, 7, 11, 13, 14, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 44, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "lt": [3, 9, 13, 17, 27, 42, 71, 72], "increas": [3, 5, 8, 17, 24, 53, 57, 62], "decreas": [3, 7, 9, 17, 30, 34, 55, 59, 72], "dualli": [3, 44, 57], "hold": [3, 4, 17, 30, 34, 35, 40, 42, 55, 58, 75], "On": [3, 10, 12, 17, 24, 27, 30, 32, 37, 40, 44, 46, 51, 52, 53, 54, 57, 58, 64, 71], "contrari": [3, 4, 9, 13, 17, 30, 40, 44, 57, 67], "messag": [3, 4, 8, 11, 12, 13, 14, 16, 17, 24, 26, 28, 29, 30, 34, 35, 37, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "rewritten": [3, 9, 11, 24, 30, 46, 57, 58, 64], "compos": [3, 4, 34, 44, 57, 67, 71], "propag": [3, 11, 17, 41], "varianc": [3, 17], "annot": [3, 9, 14, 17, 24, 25, 27, 34, 41, 42, 45, 51, 53, 55, 57, 66], "switch": [3, 8, 13, 14, 17, 24, 25, 51, 53, 66], "travers": [3, 17, 57, 58, 67], "detail": [3, 5, 7, 14, 25, 31, 36, 37, 41, 42, 51, 52, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "contravariantli": 3, "differ": [3, 4, 9, 11, 13, 14, 15, 17, 24, 25, 26, 29, 31, 34, 35, 37, 38, 41, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 71, 72, 73, 75, 77], "duplic": [3, 11, 17, 43, 57, 67, 71], "multiset_eq": 3, "repeat": [3, 17, 25, 43, 44, 52, 55, 57, 58, 59, 66, 67], "request": [3, 14, 17, 25, 43, 51, 64], "unclear": [3, 10, 54], "analog": [3, 17, 34, 54, 57, 58, 66], "crelat": 3, "cmorphism": [3, 17], "cequival": 3, "rewriterel": [3, 17, 57], "index": [3, 13, 17, 24, 25, 26, 27, 29, 39, 40, 44, 52, 58, 60, 64, 66, 67, 73, 75], "iff": [3, 17, 26, 27, 31, 57, 59, 71], "impl": [3, 5, 59], "flip": [3, 17], "pointwis": 3, "simpli": [3, 4, 11, 13, 14, 17, 24, 31, 39, 54, 55, 57, 59, 62, 67, 71, 75], "machineri": [3, 17, 57], "infer": [3, 4, 9, 10, 13, 14, 24, 25, 26, 34, 37, 40, 41, 42, 45, 46, 51, 57, 58, 60, 62, 67, 71], "face": [3, 17, 75], "situat": [3, 4, 11, 17, 46, 54, 57, 71], "instanti": [3, 10, 13, 14, 17, 24, 34, 35, 43, 44, 54, 55, 57, 58, 60, 62, 67, 71], "discharg": [3, 14, 17, 24, 25, 28, 38, 72], "That": [3, 27, 29, 30, 34, 36, 52, 54, 55, 58, 64, 66], "variou": [3, 16, 17, 24, 25, 28, 29, 34, 44, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 71], "hint": [3, 13, 14, 17, 24, 25, 27, 35, 38, 54, 62, 64, 75], "databas": [3, 13, 17, 25, 54, 57, 62, 64], "refl": [3, 17], "sym": [3, 17, 44], "tran": [3, 17], "id": [3, 4, 9, 10, 14, 17, 24, 26, 34, 35, 42, 44, 51, 52, 53, 54, 55, 57, 58, 64, 66, 71, 75], "equivalence_reflex": [3, 59], "equivalence_symmetr": [3, 59], "equivalence_transit": 3, "amount": [3, 5, 8, 14, 17, 51, 54, 58], "relationclass": [3, 17, 64], "further": [3, 17, 30, 35, 41, 51, 52, 54, 55, 57, 64, 66, 67, 71], "explan": [3, 13, 37, 45, 51, 58, 59, 67], "encod": [3, 13, 17, 24, 25, 27, 34, 53, 71, 75], "car": 3, "eq_rel": 3, "eq_rel_rel": 3, "eq_rel_reflex": 3, "eq_rel_symmetr": 3, "eq_rel_transit": 3, "x2": [3, 27, 42, 59, 60, 72], "apply_mor": 3, "setoid_": [3, 17], "moreov": [3, 5, 17, 28, 44, 46, 51, 52, 57, 62, 71], "unprefix": 3, "fall": [3, 9, 10, 13, 24, 53], "back": [3, 9, 14, 17, 24, 51, 52, 54, 57, 59, 66, 67], "involv": [3, 4, 9, 12, 17, 24, 25, 26, 34, 41, 42, 51, 52, 53, 54, 57, 59, 60, 62, 64, 67], "pass": [3, 5, 8, 10, 12, 17, 24, 37, 38, 42, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 75], "etransit": [3, 17, 43, 64], "one_term_with_bind": [3, 58, 64, 67, 72], "rewrite_occ": [3, 64], "int_or_var": [3, 54, 66, 71], "ltac_expr3": [3, 29, 54, 58, 64, 66], "defaultrel": 3, "By": [3, 4, 5, 11, 12, 13, 14, 17, 29, 37, 44, 46, 51, 53, 54, 55, 57, 60, 64, 66, 67, 71], "recent": [3, 24, 25, 53, 71], "environ": [3, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 28, 30, 31, 32, 34, 35, 38, 42, 43, 52, 53, 55, 57, 60, 62, 64, 66, 67, 71, 72, 75], "simul": [3, 17, 24, 57, 66], "understand": [3, 5, 10, 12, 15, 17, 24, 25, 29, 33, 51, 53, 54, 55, 59, 60], "congruenc": [3, 12, 17, 24, 25, 34, 54, 62, 64, 67], "pack": [3, 42, 53], "slightli": [3, 17, 24, 35, 51, 52, 54, 55, 57, 58, 67], "permut": [3, 17, 25, 55, 57], "bi": 3, "implic": [3, 17, 26, 27, 28, 42, 54, 57, 60, 66, 67, 71], "port": [3, 17, 24, 55, 72], "semant": [3, 11, 13, 14, 17, 24, 25, 26, 29, 35, 36, 39, 41, 44, 53, 54, 57, 58, 71, 77], "limit": [3, 5, 9, 10, 13, 14, 17, 24, 25, 29, 35, 41, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 71, 72], "lift": [3, 12, 14, 17], "were": [3, 11, 13, 17, 24, 34, 35, 36, 38, 42, 44, 51, 53, 54, 55, 59, 60, 66, 71, 72, 75], "discuss": [3, 17, 24, 25, 54], "setoid_rewrit": [3, 17, 24, 60, 64], "head": [3, 10, 13, 14, 17, 24, 26, 30, 35, 41, 42, 44, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71], "constr": [3, 5, 14, 17, 24, 34, 42, 54, 55, 57, 71], "bind": [3, 9, 10, 14, 17, 24, 25, 28, 32, 34, 35, 37, 40, 43, 44, 46, 51, 54, 57, 64, 66, 67, 72], "construct": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 27, 28, 29, 30, 31, 33, 35, 41, 42, 43, 46, 52, 53, 55, 57, 58, 62, 63, 64, 65, 66, 67, 71, 77], "ex": [3, 17, 24, 27, 44, 58, 67, 71], "existenti": [3, 6, 9, 10, 13, 17, 24, 25, 26, 34, 41, 45, 54, 58, 59, 60, 64, 66, 67], "morphisms_prop": [3, 17], "all_iff_morph": 3, "pointwise_rel": 3, "simpl_rel": [3, 17], "predic": [3, 9, 17, 24, 25, 26, 27, 30, 34, 40, 42, 54, 60, 64, 77], "onc": [3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 32, 34, 41, 42, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72], "implicitli": [3, 13, 14, 17, 24, 34, 51, 55, 59, 60, 64], "inde": [3, 4, 11, 12, 13, 14, 17, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "surround": [3, 17, 44, 57, 59, 71], "whatev": [3, 44, 64, 75], "map_morph": 3, "eqa": [3, 13], "eqb": [3, 5, 13, 17, 36, 59], "list_equiv": 3, "parameter": [3, 5, 11, 14, 17, 24, 25, 28, 37, 40, 54], "captur": [3, 17, 34, 44, 57, 64, 71], "bound": [3, 5, 6, 7, 10, 14, 17, 24, 25, 26, 28, 31, 32, 34, 39, 41, 42, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 72], "With": [3, 4, 13, 14, 17, 46, 53, 57, 58, 67, 71], "subterm": [3, 9, 10, 11, 17, 24, 25, 31, 34, 41, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72], "almost": [3, 17, 57, 67, 75], "recov": [3, 8, 14, 17, 30, 46, 51, 54, 67], "smaller": [3, 11, 14, 17, 32, 33, 34, 53, 58, 62, 67, 72], "dual": [3, 9, 24, 55], "why": [3, 11, 17, 34, 37, 43, 55], "conjunct": [3, 5, 11, 17, 24, 34, 57, 59, 60, 67, 71], "suffici": [3, 5, 11, 13, 53], "aris": [3, 9, 13, 17, 30, 67, 71], "through": [3, 4, 12, 17, 24, 28, 29, 30, 32, 34, 35, 36, 37, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 72, 73, 74], "prime": [3, 17, 29, 34, 57], "space": [3, 17, 29, 52, 53, 57, 59, 66, 71, 74, 75], "rewrite_strat": [3, 17], "rule": [3, 4, 5, 11, 12, 13, 14, 17, 24, 25, 29, 32, 33, 35, 36, 37, 39, 41, 42, 44, 46, 51, 53, 54, 55, 58, 59, 60, 62, 66, 67, 77], "slow": [3, 11, 17, 53, 54, 55], "down": [3, 14, 24, 25, 45, 51, 52, 54, 55, 57, 59], "wherea": [3, 17, 29, 54, 55, 57, 58, 62, 74], "opaqu": [3, 6, 8, 9, 14, 17, 24, 25, 31, 32, 35, 38, 51, 57, 59, 60, 64, 66, 67, 71, 75], "caus": [3, 8, 12, 14, 17, 32, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 71, 75], "miss": [3, 5, 10, 13, 17, 24, 35, 43, 51, 52, 55, 57, 58, 62, 64, 71, 75], "configur": [3, 8, 17, 24, 25, 29, 40, 51, 52, 59, 64, 66, 73], "transpar": [3, 4, 6, 9, 14, 17, 24, 25, 31, 32, 35, 37, 41, 51, 54, 55, 57, 59, 60, 64, 66, 67, 75], "unif": [3, 10, 13, 17, 24, 25, 37, 40, 42, 43, 54, 60, 64, 71], "eauto": [3, 17, 25, 43, 54, 57, 60], "individu": [3, 17, 53, 55, 64, 67, 71], "double_f": 3, "unifi": [3, 12, 13, 14, 17, 34, 41, 42, 43, 54, 57, 58, 64, 66], "assert_succe": [3, 17, 25], "bottomup": 3, "hide": [3, 17, 25, 34, 41, 44, 57, 58, 66, 71], "side": [3, 10, 13, 14, 17, 24, 25, 27, 32, 34, 35, 38, 43, 52, 54, 55, 57, 58, 60, 62, 64, 67, 71], "behind": [3, 4, 17, 28, 34, 57], "assert_fail": [3, 17, 25], "disallow": [3, 12, 14, 17, 37, 51], "substitut": [3, 10, 11, 17, 24, 25, 26, 34, 38, 46, 51, 55, 57, 58, 64, 67, 71], "distinct": [3, 9, 13, 17, 26, 34, 42, 44, 46, 53, 54, 55, 57, 60, 64, 67, 71], "eq_refl": [3, 5, 9, 11, 12, 13, 14, 17, 27, 40, 64, 66, 67, 71], "resolv": [3, 9, 13, 14, 17, 35, 43, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71], "treat": [3, 9, 12, 13, 17, 29, 46, 53, 54, 57, 59, 60, 62, 64, 67, 71, 72], "lot": [3, 11, 17, 24, 52, 55], "tri": [3, 4, 5, 9, 13, 14, 17, 34, 35, 41, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 66, 67], "speed": [3, 13, 17, 24, 34, 64], "abbrevi": [3, 4, 5, 13, 14, 17, 24, 25, 27, 32, 35, 38, 59, 74], "typeclass_inst": [3, 13, 17, 60], "strat": 3, "rewstrategi": [3, 17], "conclus": [3, 11, 13, 17, 24, 28, 34, 54, 55, 57, 58, 60, 64, 66, 67, 71], "noth": [3, 17, 38, 41, 51, 54, 55, 57, 58, 60, 62, 64, 66, 67], "didn": [3, 17, 51, 53], "progress": [3, 17, 24, 25, 51, 52, 55, 60, 66, 77], "succeed": [3, 17, 54, 59, 72], "unabl": [3, 14, 34, 43, 46, 53, 57, 58, 59, 66, 67], "basic": [3, 9, 11, 17, 24, 25, 32, 33, 34, 35, 37, 40, 42, 44, 46, 51, 58, 59, 60, 63, 66, 67, 73], "db": [3, 17], "topdown": 3, "creat": [3, 8, 9, 13, 17, 24, 25, 29, 34, 38, 40, 42, 51, 52, 53, 54, 57, 58, 59, 64, 66, 67, 72, 75], "procedur": [3, 4, 11, 17, 24, 25, 54, 57, 60, 62, 64, 77], "programm": [3, 24, 25, 65], "visser": [3, 77], "et": [3, 24, 77], "al": [3, 57], "lv97": [3, 77], "vbt98": [3, 77], "core": [3, 13, 17, 24, 25, 27, 29, 41, 45, 51, 57, 59, 60, 62, 65, 71], "stratego": [3, 77], "transform": [3, 4, 11, 17, 29, 57, 58, 66, 67, 77], "languag": [3, 9, 11, 14, 26, 29, 36, 37, 39, 40, 41, 46, 53, 54, 63, 64, 65, 66, 74, 75, 77], "vis01": [3, 77], "rewstrategy1": [3, 17], "choic": [3, 17, 27, 34, 51, 52, 55, 62, 71, 75], "rewstrategy0": 3, "eval": [3, 5, 12, 14, 17, 24, 25, 29, 30, 31, 32, 35, 37, 42, 51, 52, 53, 55, 59], "red_expr": [3, 17, 32, 54, 64], "fold": [3, 17, 37, 57], "failur": [3, 8, 13, 14, 17, 24, 25, 46, 53, 55, 57, 59, 60, 62, 64, 71, 77], "catch": [3, 17, 25, 42, 46, 57], "zero": [3, 7, 11, 17, 26, 27, 37, 42, 46, 53, 54, 55, 58, 59, 60, 64], "nest": [3, 9, 17, 24, 25, 29, 32, 35, 38, 40, 54, 57, 58, 59, 64, 66, 71, 75], "andbc": [3, 57], "bottom": [3, 17, 37, 46, 52, 54, 55, 58, 64, 71], "top": [3, 8, 10, 12, 13, 14, 17, 24, 25, 29, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71, 73, 75], "oper": [3, 5, 9, 10, 11, 14, 17, 24, 25, 27, 32, 34, 36, 51, 52, 54, 55, 57, 60, 64, 66, 67, 71], "texttt": 3, "conceptu": [3, 34], "straightforward": [3, 55], "root": [3, 17, 25, 27, 46, 51], "iter": [3, 5, 13, 17, 25, 26, 28, 30, 71], "consider": [3, 9, 17, 37, 39, 46, 64, 67, 71], "stop": [3, 5, 12, 17, 24, 32, 38, 52, 54, 57, 71], "Their": [3, 17, 32, 34, 39, 55, 57, 59, 71], "mani": [3, 8, 11, 13, 14, 17, 24, 25, 27, 29, 33, 34, 35, 39, 42, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 73], "stronger": [3, 12, 17, 34], "interpret": [3, 5, 9, 11, 13, 17, 24, 25, 27, 29, 32, 34, 35, 41, 44, 51, 52, 53, 54, 55, 59, 75], "ssrbool": [3, 17, 57], "ssrmatch": [3, 17, 57], "scope": [3, 5, 11, 17, 24, 25, 27, 29, 32, 36, 38, 43, 45, 52, 54, 55, 57, 59, 60, 64, 66], "bool_scop": [3, 17, 41, 71], "abort": [3, 11, 17, 34, 42, 44, 54, 55, 57, 64, 66, 67], "amokran": [4, 24], "sa\u00efbi": [4, 24], "prover": [4, 5, 15, 17, 24, 26, 29, 31, 33, 52, 55, 59, 65, 73, 75, 76], "power": [4, 5, 11, 17, 24, 54, 57, 67, 71, 72], "our": [4, 5, 7, 11, 17, 24, 34, 35, 54], "determin": [4, 13, 17, 31, 34, 36, 40, 41, 43, 53, 54, 57, 58, 64, 66, 67, 71, 72, 75], "appropri": [4, 13, 14, 17, 29, 53, 55, 57, 59, 62, 64, 66, 67, 75], "sens": [4, 24, 26, 30, 54, 55, 57, 71], "subtyp": [4, 9, 14, 17, 25, 31, 35, 39, 77], "certain": [4, 11, 17, 24, 29, 44, 46, 51, 54, 57, 58, 59, 64, 67, 71], "categori": [4, 8, 13, 17, 35, 51, 59, 61, 74, 75], "biject": [4, 17], "morphism": [4, 11, 17, 25, 59, 71], "famili": [4, 14, 17, 24, 25, 34, 40, 54, 55, 63, 67, 71], "coercion_class": [4, 71], "user": [4, 5, 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17, 33, 35, 41, 44, 59, 66, 71, 75], "par": [8, 17, 52, 54], "selector": [8, 17, 25, 43, 53, 58, 59, 64, 66], "bullet": [8, 17, 25, 34, 59, 67], "level": [8, 13, 14, 17, 24, 25, 26, 27, 31, 35, 36, 37, 41, 42, 46, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71, 72, 73, 75], "subsequ": [8, 14, 17, 29, 37, 38, 51, 54, 55, 58, 59, 66, 67, 71], "bogu": 8, "async": [8, 17, 52, 54], "recoveri": [8, 17, 52], "select": [8, 13, 17, 25, 35, 37, 41, 42, 52, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 75, 77], "activ": [8, 9, 14, 17, 24, 25, 29, 32, 35, 37, 42, 43, 44, 46, 52, 53, 54, 59, 60, 64, 66, 71], "blocktyp": 8, "vscoq": [8, 17, 51, 53, 66], "master": [8, 17, 52, 53, 77], "feedback": [8, 17], "soon": [8, 9, 17, 24, 42, 52, 54, 57], "skip": [8, 17, 41, 42, 46, 51, 53, 54, 57, 58, 64, 66, 67], "deleg": [8, 17, 25, 29], "job": [8, 52, 53, 54, 57], "panel": [8, 17, 52, 66], "statu": [8, 12, 13, 14, 17, 51, 52, 53, 54, 57, 71], "red": [8, 17, 51, 52, 54, 64, 66], "button": [8, 17, 24, 52], "jump": [8, 17, 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34, 38, 41, 46, 54, 58, 59, 60, 65, 75], "typecheck": [9, 17, 41, 51, 55, 58, 59, 64, 66], "act": [9, 17, 37, 46, 52, 54, 55, 67], "unresolv": [9, 13, 17, 57, 58, 60, 64, 67], "hole": [9, 13, 17, 24, 25, 40, 43, 46, 55, 57, 58, 59, 62, 66, 67, 71], "commonli": [9, 14, 17, 27, 40, 53, 54, 55, 57, 58, 66], "legaci": [9, 14, 17, 29, 40, 60, 71, 72], "legacy_attr": [9, 14, 29, 35, 40], "elsewher": [9, 17, 52, 59, 71], "likewis": [9, 17, 55], "reflect": [9, 11, 14, 17, 24, 25, 40, 52, 53, 62, 64, 66, 72, 77], "dec": [9, 24, 46], "sumbool_of_bool": [9, 59], "pred": [9, 17, 27, 54, 57, 59, 60, 64], "tupl": [9, 17, 37, 42, 46, 55, 57, 58], "potenti": [9, 13, 25, 42, 46, 52, 54, 55, 57, 67, 71], "preterm": [9, 17, 55], "aforement": [9, 51], "monomorph": [9, 17, 25, 29], "absenc": [9, 17, 71], "enforc": [9, 12, 14, 17, 26, 32, 34, 44, 55, 57, 58, 66, 71], "mutual": [9, 17, 24, 25, 29, 30, 32, 37, 54, 55, 67, 71, 72], "fixannot": [9, 34, 72], "measur": [9, 17, 34, 54, 72], "div2_obligation_1": 9, 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"underli": [9, 11, 17, 24, 26, 54, 57, 67, 71], "isn": [9, 10, 17, 28, 52, 57, 58, 60, 64, 66, 67], "anymor": [9, 17, 55, 59], "highli": [10, 43, 60, 63], "mistyp": 10, "anomali": [10, 17, 24, 59], "unlik": [10, 13, 17, 24, 30, 39, 52, 54, 55, 57, 58, 59, 60, 64, 67, 71], "pplu": 10, "rewrite_rul": 10, "univ_decl": [10, 14, 28, 35], "rw_pattern": 10, "namespac": [10, 14, 17, 35, 42, 53, 59], "against": [10, 13, 17, 44, 54, 57, 58, 59, 60, 62], "align": [10, 59, 71], "collect": [10, 17, 27, 51, 53, 60, 66, 72], "pplus_rewrit": 10, "rigid": [10, 13, 14, 17, 24, 60, 72], "enough": [10, 11, 14, 17, 34, 44, 57, 58, 67, 71], "discrimine": [10, 12, 46], "furthermor": [10, 17, 24, 25, 26, 29, 31, 33, 34, 51, 52, 55, 57, 63, 66], "grammar": [10, 17, 25, 28, 29, 54, 55, 57, 58, 62, 71], "rw_head_pattern": 10, "elimin": [10, 12, 14, 17, 24, 25, 26, 27, 30, 31, 34, 35, 37, 40, 54, 55, 58, 67, 71, 72, 77], "rw_pattern_arg": 10, "univ_annot": [10, 14, 29, 37], "bear": 10, "raise_nat": 10, "93": [10, 53, 54], "118": [10, 54], "break": [10, 12, 17, 28, 29, 30, 52, 57, 59, 64, 66, 71, 73, 74], "subject": [10, 17, 25, 26, 30, 31, 50, 51, 72], "22": [10, 12, 54, 57], "u0": [10, 14, 46], "sr": 10, "id_rew": 10, "qualiti": [10, 14, 17], "u1": [10, 13, 14, 17, 57], "u2": 10, "superfici": 10, "typed": [10, 55], "entir": [10, 13, 17, 24, 25, 31, 33, 34, 41, 44, 52, 53, 57, 60, 64, 66, 71], "neither": [10, 14, 17, 46, 54, 55, 57, 64, 67], "nor": [10, 11, 17, 26, 34, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71], "plan": [10, 17, 25, 53, 55, 72], "triangl": [10, 52], "criterion": [10, 17, 33, 34, 60], "ctw21": [10, 77], "expans": [10, 12, 13, 17, 25, 34, 53, 55, 57, 64, 71], "contract": [10, 17, 24, 31, 34, 54, 62, 71, 77], "integr": [10, 11, 17, 24, 25, 51, 52, 57, 61, 73], "upper": [10, 14, 17, 39, 44, 52], "layer": [10, 17, 25], "notabl": [10, 17, 24, 37, 51, 55, 57, 64, 67], "machin": [10, 17, 24, 25, 32, 36, 51, 54, 55, 64], "cbn": [10, 17, 41, 64], "cbv": [10, 14, 17, 24, 31, 57, 64], "manner": [10, 24, 51], "untyp": [10, 17, 25, 55, 71], "vm": [10, 17, 58, 59, 64], "risk": [10, 17, 24, 51, 59, 66], "segfault": [10, 17], "\u03b2\u03b4\u03b9": 11, "rightarrow_": [11, 37], "delta": [11, 17, 24, 32, 35, 37, 55, 64], "leftarrow_": 11, "peeval": 11, "pphi_dev": 11, "norm": 11, "bruno": [11, 17, 24], "barra": [11, 17, 24], "benjamin": [11, 17, 77], "gr\u00e9goir": [11, 17], "assia": [11, 17, 42, 57, 77], "mahboubi": [11, 17, 42, 57, 77], "laurent": [11, 17, 24], "th\u00e9ry": [11, 17, 24], "dedic": [11, 17, 24, 29, 36, 55, 57], "semir": [11, 17], "oplu": 11, "otim": 11, "distribut": [11, 17, 24, 25, 50, 73, 75], "uniti": 11, "v_0": 11, "v_1": [11, 31], "dot": [11, 14, 17, 24, 35, 37, 52, 59, 71], "v_": [11, 26], "i_n": [11, 57], "i_2": [11, 57], "sum": [11, 17, 24, 27, 35, 38, 40, 55, 62, 67, 71], "yx": 11, "25": [11, 44], "zx": 11, "28x": 11, "24": [11, 17, 44, 53, 77], "xz": 11, "xxy": 11, "yz": 11, "zy": 11, "frequent": [11, 17, 25, 53, 57, 66, 67, 71], "rare": 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"coq:cmd.Add-Parametric-Relation", "Add Parametric Relation"], [3, 3, 1, "coq:cmd.Add-Parametric-Setoid", "Add Parametric Setoid"], [3, 3, 1, "coq:cmd.Add-Relation", "Add Relation"], [11, 3, 1, "coq:cmd.Add-Ring", "Add Ring"], [3, 3, 1, "coq:cmd.Add-Setoid", "Add Setoid"], [5, 3, 1, "coq:cmd.Add-Zify", "Add Zify"], [9, 3, 1, "coq:cmd.Admit-Obligations", "Admit Obligations"], [66, 3, 1, "coq:cmd.Admitted", "Admitted"], [12, 4, 1, "coq:flag.Allow-StrictProp", "Allow StrictProp"], [44, 0, 1, "coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once", "Argument at position \u2018natural\u2019 is mentioned more than once"], [54, 0, 1, "coq:exn.Argument-of-match-does-not-evaluate-to-a-term", "Argument of match does not evaluate to a term"], [41, 3, 1, "coq:cmd.Arguments", "Arguments"], [44, 0, 1, "coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode", "Arguments given by name or position not supported in explicit mode"], [11, 0, 1, "coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type", "Arguments of ring_simplify do not have all the same type"], [41, 0, 1, "coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed", "Arguments of section variables such as \u2018name\u2019 may not be renamed"], [46, 4, 1, "coq:flag.Asymmetric-Patterns", "Asymmetric Patterns"], [66, 0, 1, "coq:exn.Attempt-to-save-an-incomplete-proof", "Attempt to save an incomplete proof"], [29, 3, 1, "coq:cmd.Attributes", "Attributes"], [34, 4, 1, "coq:flag.Auto-Template-Polymorphism", "Auto Template Polymorphism"], [34, 2, 1, "coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic", "Automatically declaring \u2018ident\u2019 as template polymorphic"], [28, 3, 1, "coq:cmd.Axiom", "Axiom"], [28, 3, 1, "coq:cmd.Axioms", "Axioms"], [59, 3, 1, "coq:cmd.Back", "Back"], [59, 3, 1, "coq:cmd.BackTo", "BackTo"], [11, 0, 1, "coq:exn.Bad-lemma-for-decidability-of-equality", "Bad lemma for decidability of equality"], [59, 0, 1, "coq:exn.Bad-magic-number", "Bad magic number"], [64, 0, 1, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019", "Bad occurrence number of \u2018qualid\u2019"], [12, 2, 1, "coq:warn.Bad-relevance", "Bad relevance"], [11, 0, 1, "coq:exn.Bad-ring-structure", "Bad ring structure"], [71, 3, 1, "coq:cmd.Bind-Scope", "Bind Scope"], [67, 4, 1, "coq:flag.Boolean-Equality-Schemes", "Boolean Equality Schemes"], [5, 5, 1, "coq:thm.Bound-on-the-ceiling-function", "Bound on the ceiling function"], [66, 0, 1, "coq:exn.Brackets-do-not-support-multi-goal-selectors", "Brackets do not support multi-goal selectors"], [66, 6, 1, "coq:opt.Bullet-Behavior", "Bullet Behavior"], [72, 2, 1, "coq:warn.Cannot-build-functional-inversion-principle", "Cannot build functional inversion principle"], [58, 0, 1, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion", "Cannot change \u2018ident\u2019, it is used in conclusion"], [58, 0, 1, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019", "Cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019"], [60, 0, 1, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference", "Cannot coerce \u2018qualid\u2019 to an evaluable reference"], [72, 2, 1, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019", "Cannot define graph for \u2018ident\u2019"], [72, 2, 1, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019", "Cannot define principle(s) for \u2018ident\u2019"], [11, 0, 1, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019", "Cannot find a declared ring structure for equality \u2018term\u2019"], [11, 0, 1, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019", "Cannot find a declared ring structure over \u2018term\u2019"], [64, 0, 1, "coq:exn.Cannot-find-a-relation-to-rewrite", "Cannot find a relation to rewrite"], [64, 0, 1, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019", "Cannot find any non-recursive equality over \u2018ident\u2019"], [72, 0, 1, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019", "Cannot find induction information on \u2018qualid\u2019"], [72, 0, 1, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019", "Cannot find inversion information for hypothesis \u2018ident\u2019"], [59, 0, 1, "coq:exn.Cannot-find-library-foo-in-loadpath", "Cannot find library foo in loadpath"], [4, 0, 1, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019", "Cannot find the source class of \u2018qualid\u2019"], [4, 0, 1, "coq:exn.Cannot-find-the-target-class", "Cannot find the target class"], [35, 2, 1, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored", "Cannot import local constant, it will be ignored"], [71, 0, 1, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment", "Cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment"], [71, 0, 1, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this number as a value of type \u2018type\u2019"], [71, 0, 1, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this string as a value of type \u2018type\u2019"], [59, 0, 1, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019", "Cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019"], [62, 0, 1, "coq:exn.Cannot-recognize-a-boolean-equality", "Cannot recognize a boolean equality"], [67, 0, 1, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019", "Cannot recognize a statement based on \u2018reference\u2019"], [4, 0, 1, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019", "Cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019"], [64, 0, 1, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference", "Cannot turn [inductive|constructor] into an evaluable reference"], [72, 0, 1, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure", "Cannot use mutual definition with well-founded recursion or measure"], [42, 3, 1, "coq:cmd.Canonical-Structure", "Canonical Structure"], [59, 0, 1, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath", "Can\u2019t find file \u2018ident\u2019 on loadpath"], [67, 4, 1, "coq:flag.Case-Analysis-Schemes", "Case Analysis Schemes"], [5, 5, 1, "coq:thm.Case-split", "Case split"], [40, 0, 1, "coq:exn.Casts-are-not-supported-in-this-pattern", "Casts are not supported in this pattern"], [2, 3, 1, "coq:cmd.Cd", "Cd"], [59, 3, 1, "coq:cmd.Check", "Check"], [13, 3, 1, "coq:cmd.Class", "Class"], [71, 3, 1, "coq:cmd.Close-Scope", "Close Scope"], [30, 3, 1, "coq:cmd.CoFixpoint", "CoFixpoint"], [30, 3, 1, "coq:cmd.CoInductive", "CoInductive"], [4, 3, 1, "coq:cmd.Coercion", "Coercion"], [66, 3, 1, "coq:cmd.Collection", "Collection"], [67, 3, 1, "coq:cmd.Combined-Scheme", "Combined Scheme"], [29, 3, 1, "coq:cmd.Comments", "Comments"], [64, 3, 1, "coq:cmd.Compute", "Compute"], [54, 0, 1, "coq:exn.Condition-not-satisfied", "Condition not satisfied"], [28, 3, 1, "coq:cmd.Conjecture", "Conjecture"], [28, 3, 1, "coq:cmd.Conjectures", "Conjectures"], [14, 3, 1, "coq:cmd.Constraint", "Constraint"], [38, 3, 1, "coq:cmd.Context", "Context"], [44, 4, 1, "coq:flag.Contextual-Implicit", "Contextual Implicit"], [51, 4, 1, "coq:flag.Coqtop-Exit-On-Error", "Coqtop Exit On Error"], [32, 3, 1, "coq:cmd.Corollary", "Corollary"], [60, 3, 1, "coq:cmd.Create-HintDb", "Create HintDb"], [14, 7, 1, "coq:attr.Cumulative", "Cumulative"], [14, 4, 1, "coq:flag.Cumulativity-Weak-Constraints", "Cumulativity Weak Constraints"], [54, 3, 1, "coq:cmd.Debug", "Debug"], [59, 6, 1, "coq:opt.Debug", "Debug"], [60, 4, 1, "coq:flag.Debug-Auto", "Debug Auto"], [60, 4, 1, "coq:flag.Debug-Eauto", "Debug Eauto"], [57, 4, 1, "coq:flag.Debug-SsrMatching", "Debug SsrMatching"], [57, 4, 1, "coq:flag.Debug-Ssreflect", "Debug Ssreflect"], [60, 4, 1, "coq:flag.Debug-Trivial", "Debug Trivial"], [54, 0, 1, "coq:exn.Debug-mode-not-available-in-the-IDE", "Debug mode not available in the IDE"], [67, 4, 1, "coq:flag.Decidable-Equality-Schemes", "Decidable Equality Schemes"], [71, 3, 1, "coq:cmd.Declare-Custom-Entry", "Declare Custom Entry"], [64, 3, 1, "coq:cmd.Declare-Equivalent-Keys", "Declare Equivalent Keys"], [13, 3, 1, "coq:cmd.Declare-Instance", "Declare Instance"], [64, 3, 1, "coq:cmd.Declare-Left-Step", "Declare Left Step"], [59, 3, 1, "coq:cmd.Declare-ML-Module", "Declare ML Module"], [35, 3, 1, "coq:cmd.Declare-Module", "Declare Module"], [3, 3, 1, "coq:cmd.Declare-Morphism", "Declare Morphism"], [64, 3, 1, "coq:cmd.Declare-Reduction", "Declare Reduction"], [64, 3, 1, "coq:cmd.Declare-Right-Step", "Declare Right Step"], [71, 3, 1, "coq:cmd.Declare-Scope", "Declare Scope"], [60, 2, 1, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead", "Declaring arbitrary terms as hints is fragile and deprecated; it is recommended to declare a toplevel constant instead"], [58, 6, 1, "coq:opt.Default-Goal-Selector", "Default Goal Selector"], [66, 6, 1, "coq:opt.Default-Proof-Mode", "Default Proof Mode"], [66, 6, 1, "coq:opt.Default-Proof-Using", "Default Proof Using"], [59, 6, 1, "coq:opt.Default-Timeout", "Default Timeout"], [66, 3, 1, "coq:cmd.Defined", "Defined"], [32, 3, 1, "coq:cmd.Definition", "Definition"], [12, 4, 1, "coq:flag.Definitional-UIP", "Definitional UIP"], [71, 3, 1, "coq:cmd.Delimit-Scope", "Delimit Scope"], [34, 4, 1, "coq:flag.Dependent-Proposition-Eliminators", "Dependent Proposition Eliminators"], [6, 3, 1, "coq:cmd.Derive", "Derive"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion", "Derive Dependent Inversion"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion_clear", "Derive Dependent Inversion_clear"], [67, 3, 1, "coq:cmd.Derive-Inversion", "Derive Inversion"], [67, 3, 1, "coq:cmd.Derive-Inversion_clear", "Derive Inversion_clear"], [66, 6, 1, "coq:opt.Diffs", "Diffs"], [71, 3, 1, "coq:cmd.Disable-Notation", "Disable Notation"], [59, 3, 1, "coq:cmd.Drop", "Drop"], [5, 6, 1, "coq:opt.Dump-Arith", "Dump Arith"], [59, 0, 1, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the", "Dynlink error: execution of module initializers in the"], [46, 0, 1, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies", "Either there is a type incompatibility or the problem involves dependencies"], [67, 4, 1, "coq:flag.Elimination-Schemes", "Elimination Schemes"], [71, 3, 1, "coq:cmd.Enable-Notation", "Enable Notation"], [38, 3, 1, "coq:cmd.End", "End"], [71, 0, 1, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation", "End of quoted string not followed by a space in notation"], [64, 3, 1, "coq:cmd.Eval", "Eval"], [32, 3, 1, "coq:cmd.Example", "Example"], [13, 3, 1, "coq:cmd.Existing-Class", "Existing Class"], [13, 3, 1, "coq:cmd.Existing-Instance", "Existing Instance"], [13, 3, 1, "coq:cmd.Existing-Instances", "Existing Instances"], [35, 3, 1, "coq:cmd.Export", "Export"], [54, 0, 1, "coq:exn.Expression-does-not-evaluate-to-a-tactic", "Expression does not evaluate to a tactic"], [2, 3, 1, "coq:cmd.Extract-Callback", "Extract Callback"], [2, 0, 1, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction", "Extract Callback is supported only for OCaml extraction"], [2, 3, 1, "coq:cmd.Extract-Constant", "Extract Constant"], [2, 3, 1, "coq:cmd.Extract-Foreign-Constant", "Extract Foreign Constant"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction", "Extract Foreign Constant is supported only for OCaml extraction"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions", "Extract Foreign Constant is supported only for functions"], [2, 3, 1, "coq:cmd.Extract-Inductive", "Extract Inductive"], [2, 3, 1, "coq:cmd.Extract-Inlined-Constant", "Extract Inlined Constant"], [2, 3, 1, "coq:cmd.Extraction", "Extraction"], [2, 4, 1, "coq:flag.Extraction-AutoInline", "Extraction AutoInline"], [2, 3, 1, "coq:cmd.Extraction-Blacklist", "Extraction Blacklist"], [2, 4, 1, "coq:flag.Extraction-Conservative-Types", "Extraction Conservative Types"], [2, 6, 1, "coq:opt.Extraction-File-Comment", "Extraction File Comment"], [2, 6, 1, "coq:opt.Extraction-Flag", "Extraction Flag"], [2, 3, 1, "coq:cmd.Extraction-Implicit", "Extraction Implicit"], [2, 3, 1, "coq:cmd.Extraction-Inline", "Extraction Inline"], [2, 4, 1, "coq:flag.Extraction-KeepSingleton", "Extraction KeepSingleton"], [2, 3, 1, "coq:cmd.Extraction-Language", "Extraction Language"], [2, 3, 1, "coq:cmd.Extraction-Library", "Extraction Library"], [2, 3, 1, "coq:cmd.Extraction-NoInline", "Extraction NoInline"], [2, 4, 1, "coq:flag.Extraction-Optimize", "Extraction Optimize"], [2, 6, 1, "coq:opt.Extraction-Output-Directory", "Extraction Output Directory"], [2, 4, 1, "coq:flag.Extraction-SafeImplicits", "Extraction SafeImplicits"], [2, 3, 1, "coq:cmd.Extraction-TestCompile", "Extraction TestCompile"], [2, 4, 1, "coq:flag.Extraction-TypeExpand", "Extraction TypeExpand"], [32, 3, 1, "coq:cmd.Fact", "Fact"], [59, 3, 1, "coq:cmd.Fail", "Fail"], [54, 0, 1, "coq:exn.Failed-to-progress", "Failed to progress"], [59, 4, 1, "coq:flag.Fast-Name-Printing", "Fast Name Printing"], [59, 0, 1, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019", "File not found on loadpath: \u2018string\u2019"], [59, 0, 1, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs", "Files processed by Load cannot leave open proofs"], [9, 3, 1, "coq:cmd.Final-Obligation", "Final Obligation"], [62, 6, 1, "coq:opt.Firstorder-Depth", "Firstorder Depth"], [62, 6, 1, "coq:opt.Firstorder-Solver", "Firstorder Solver"], [34, 3, 1, "coq:cmd.Fixpoint", "Fixpoint"], [41, 0, 1, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019", "Flag 'rename' expected to rename \u2018name\u2019 into \u2018name\u2019"], [66, 3, 1, "coq:cmd.Focus", "Focus"], [46, 0, 1, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected", "Found a constructor of inductive type term while a constructor of term is expected"], [64, 0, 1, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause", "Found an "at" clause without "with" clause"], [71, 2, 1, "coq:warn.Found-no-matching-notation-to-enable-or-disable", "Found no matching notation to enable or disable"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal", "Found no subterm matching \u2018term\u2019 in the current goal"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019", "Found no subterm matching \u2018term\u2019 in \u2018ident\u2019"], [4, 0, 1, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019", "Found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019"], [59, 3, 1, "coq:cmd.From-\u2026-Dependency", "From \u2026 Dependency"], [59, 3, 1, "coq:cmd.From-\u2026-Require", "From \u2026 Require"], [4, 0, 1, "coq:exn.Funclass-cannot-be-a-source-class", "Funclass cannot be a source class"], [72, 3, 1, "coq:cmd.Function", "Function"], [72, 3, 1, "coq:cmd.Functional-Case", "Functional Case"], [72, 3, 1, "coq:cmd.Functional-Scheme", "Functional Scheme"], [44, 3, 1, "coq:cmd.Generalizable", "Generalizable"], [72, 3, 1, "coq:cmd.Generate-graph-for", "Generate graph for"], [66, 3, 1, "coq:cmd.Goal", "Goal"], [59, 4, 1, "coq:flag.Guard-Checking", "Guard Checking"], [66, 3, 1, "coq:cmd.Guarded", "Guarded"], [60, 3, 1, "coq:cmd.Hint-Constants", "Hint Constants"], [60, 3, 1, "coq:cmd.Hint-Constructors", "Hint Constructors"], [60, 3, 1, "coq:cmd.Hint-Cut", "Hint Cut"], [60, 3, 1, "coq:cmd.Hint-Extern", "Hint Extern"], [60, 3, 1, "coq:cmd.Hint-Immediate", "Hint Immediate"], [60, 3, 1, "coq:cmd.Hint-Mode", "Hint Mode"], [60, 3, 1, "coq:cmd.Hint-Opaque", "Hint Opaque"], [60, 3, 1, "coq:cmd.Hint-Projections", "Hint Projections"], [60, 3, 1, "coq:cmd.Hint-Resolve", "Hint Resolve"], [60, 3, 1, "coq:cmd.Hint-Rewrite", "Hint Rewrite"], [60, 3, 1, "coq:cmd.Hint-Transparent", "Hint Transparent"], [60, 3, 1, "coq:cmd.Hint-Unfold", "Hint Unfold"], [60, 3, 1, "coq:cmd.Hint-Variables", "Hint Variables"], [57, 3, 1, "coq:cmd.Hint-View-for", "Hint View for"], [57, 3, 1, "coq:cmd.Hint-View-for-apply", "Hint View for apply"], [57, 3, 1, "coq:cmd.Hint-View-for-move", "Hint View for move"], [28, 3, 1, "coq:cmd.Hypotheses", "Hypotheses"], [28, 3, 1, "coq:cmd.Hypothesis", "Hypothesis"], [72, 0, 1, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function", "Hypothesis \u2018ident\u2019 must contain at least one Function"], [66, 6, 1, "coq:opt.Hyps-Limit", "Hyps Limit"], [62, 0, 1, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality", "I don\u2019t know how to handle dependent equality"], [4, 3, 1, "coq:cmd.Identity-Coercion", "Identity Coercion"], [13, 2, 1, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class", "Ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class"], [44, 2, 1, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position", "Ignoring implicit binder declaration in unexpected position"], [9, 0, 1, "coq:exn.Ill-formed-recursive-definition", "Ill-formed recursive definition"], [34, 0, 1, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe", "Ill-formed template inductive declaration: not polymorphic on any universe"], [44, 4, 1, "coq:flag.Implicit-Arguments", "Implicit Arguments"], [44, 3, 1, "coq:cmd.Implicit-Type", "Implicit Type"], [44, 3, 1, "coq:cmd.Implicit-Types", "Implicit Types"], [35, 3, 1, "coq:cmd.Import", "Import"], [35, 3, 1, "coq:cmd.Include", "Include"], [35, 3, 1, "coq:cmd.Include-Type", "Include Type"], [57, 0, 1, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)", "Incorrect number of tactics (expected N tactics, was given M)"], [34, 3, 1, "coq:cmd.Inductive", "Inductive"], [71, 3, 1, "coq:cmd.Infix", "Infix"], [54, 3, 1, "coq:cmd.Info", "Info"], [60, 4, 1, "coq:flag.Info-Auto", "Info Auto"], [60, 4, 1, "coq:flag.Info-Eauto", "Info Eauto"], [54, 6, 1, "coq:opt.Info-Level", "Info Level"], [5, 4, 1, "coq:flag.Info-Micromega", "Info Micromega"], [60, 4, 1, "coq:flag.Info-Trivial", "Info Trivial"], [59, 3, 1, "coq:cmd.Inspect", "Inspect"], [13, 3, 1, "coq:cmd.Instance", "Instance"], [59, 3, 1, "coq:cmd.Instructions", "Instructions"], [62, 4, 1, "coq:flag.Intuition-Negation-Unfolding", "Intuition Negation Unfolding"], [59, 0, 1, "coq:exn.Invalid-backtrack", "Invalid backtrack"], [67, 8, 1, "coq:table.Keep-Equalities", "Keep Equalities"], [67, 4, 1, "coq:flag.Keep-Proof-Equalities", "Keep Proof Equalities"], [64, 4, 1, "coq:flag.Kernel-Term-Sharing", "Kernel Term Sharing"], [64, 4, 1, "coq:flag.Keyed-Unification", "Keyed Unification"], [38, 0, 1, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019", "Last block to end has name \u2018ident\u2019"], [32, 3, 1, "coq:cmd.Lemma", "Lemma"], [38, 3, 1, "coq:cmd.Let", "Let"], [38, 3, 1, "coq:cmd.Let-CoFixpoint", "Let CoFixpoint"], [38, 3, 1, "coq:cmd.Let-Fixpoint", "Let Fixpoint"], [5, 4, 1, "coq:flag.Lia-Cache", "Lia Cache"], [59, 3, 1, "coq:cmd.Load", "Load"], [59, 0, 1, "coq:exn.Load-is-not-supported-inside-proofs", "Load is not supported inside proofs"], [59, 3, 1, "coq:cmd.Locate", "Locate"], [59, 3, 1, "coq:cmd.Locate-File", "Locate File"], [59, 3, 1, "coq:cmd.Locate-Library", "Locate Library"], [59, 3, 1, "coq:cmd.Locate-Ltac", "Locate Ltac"], [59, 3, 1, "coq:cmd.Locate-Ltac2", "Locate Ltac2"], [59, 3, 1, "coq:cmd.Locate-Module", "Locate Module"], [59, 3, 1, "coq:cmd.Locate-Term", "Locate Term"], [60, 6, 1, "coq:opt.Loose-Hint-Behavior", "Loose Hint Behavior"], [54, 3, 1, "coq:cmd.Ltac", "Ltac"], [54, 4, 1, "coq:flag.Ltac-Backtrace", "Ltac Backtrace"], [54, 4, 1, "coq:flag.Ltac-Batch-Debug", "Ltac Batch Debug"], [54, 4, 1, "coq:flag.Ltac-Debug", "Ltac Debug"], [54, 4, 1, "coq:flag.Ltac-Profiling", "Ltac Profiling"], [55, 3, 1, "coq:cmd.Ltac2", "Ltac2"], [55, 4, 1, "coq:flag.Ltac2-Backtrace", "Ltac2 Backtrace"], [55, 3, 1, "coq:cmd.Ltac2-Check", "Ltac2 Check"], [55, 3, 1, "coq:cmd.Ltac2-Eval", "Ltac2 Eval"], [55, 3, 1, "coq:cmd.Ltac2-Globalize", "Ltac2 Globalize"], [55, 4, 1, "coq:flag.Ltac2-In-Ltac1-Profiling", "Ltac2 In Ltac1 Profiling"], [55, 3, 1, "coq:cmd.Ltac2-Notation", "Ltac2 Notation"], [55, 3, 1, "coq:cmd.Ltac2-Notation-(abbreviation)", "Ltac2 Notation (abbreviation)"], [55, 3, 1, "coq:cmd.Ltac2-Set", "Ltac2 Set"], [55, 3, 1, "coq:cmd.Ltac2-Type", "Ltac2 Type"], [55, 4, 1, "coq:flag.Ltac2-Typed-Notations", "Ltac2 Typed Notations"], [55, 3, 1, "coq:cmd.Ltac2-external", "Ltac2 external"], [44, 2, 1, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position", "Making shadowed name of implicit argument accessible by position"], [66, 4, 1, "coq:flag.Mangle-Names", "Mangle Names"], [66, 4, 1, "coq:flag.Mangle-Names-Light", "Mangle Names Light"], [66, 6, 1, "coq:opt.Mangle-Names-Prefix", "Mangle Names Prefix"], [44, 4, 1, "coq:flag.Maximal-Implicit-Insertion", "Maximal Implicit Insertion"], [71, 0, 1, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019", "Missing mapping for constructor \u2018qualid\u2019"], [35, 3, 1, "coq:cmd.Module", "Module"], [35, 3, 1, "coq:cmd.Module-Type", "Module Type"], [59, 0, 1, "coq:exn.Module/section-\u2018qualid\u2019-not-found", "Module/section \u2018qualid\u2019 not found"], [14, 7, 1, "coq:attr.Monomorphic", "Monomorphic"], [71, 0, 1, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier", "More than one interpretation bound to this notation, confirm with the "all" modifier"], [71, 0, 1, "coq:exn.Multiple-'via'-options", "Multiple 'via' options"], [71, 0, 1, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options", "Multiple 'warning after' or 'abstract after' options"], [64, 6, 1, "coq:opt.NativeCompute-Profile-Filename", "NativeCompute Profile Filename"], [64, 4, 1, "coq:flag.NativeCompute-Profiling", "NativeCompute Profiling"], [64, 4, 1, "coq:flag.NativeCompute-Timing", "NativeCompute Timing"], [66, 4, 1, "coq:flag.Nested-Proofs-Allowed", "Nested Proofs Allowed"], [66, 2, 1, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one", "New Collection definition of \u2018ident\u2019 shadows the previous one"], [9, 3, 1, "coq:cmd.Next-Obligation", "Next Obligation"], [5, 4, 1, "coq:flag.Nia-Cache", "Nia Cache"], [54, 0, 1, "coq:exn.No-applicable-tactic", "No applicable tactic"], [72, 0, 1, "coq:exn.No-argument-name-\u2018ident\u2019", "No argument name \u2018ident\u2019"], [54, 0, 1, "coq:exn.No-evars", "No evars"], [35, 0, 1, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019", "No field named \u2018ident\u2019 in \u2018qualid\u2019"], [66, 0, 1, "coq:exn.No-focused-proof", "No focused proof"], [66, 0, 1, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)", "No focused proof (No proof-editing in progress)"], [66, 0, 1, "coq:exn.No-focused-proof-to-restart", "No focused proof to restart"], [64, 0, 1, "coq:exn.No-head-constant-to-reduce", "No head constant to reduce"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match", "No matching clauses for match"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match-goal", "No matching clauses for match goal"], [71, 0, 1, "coq:exn.No-notation-provided", "No notation provided"], [67, 0, 1, "coq:exn.No-primitive-equality-found", "No primitive equality found"], [58, 0, 1, "coq:exn.No-product-even-after-head-reduction", "No product even after head-reduction"], [3, 0, 1, "coq:exn.No-progress-made", "No progress made"], [58, 0, 1, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction", "No quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction"], [58, 0, 1, "coq:exn.No-such-assumption", "No such assumption"], [58, 0, 1, "coq:exn.No-such-binder", "No such binder"], [58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)", "No such bound variable \u2018ident\u2019 (no bound variables at all in the expression)"], [66, 0, 1, "coq:exn.No-such-goal", "No such goal"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018ident\u2019)", "No such goal (\u2018ident\u2019)"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018natural\u2019)", "No such goal (\u2018natural\u2019)"], [58, 0, 1, "coq:exn.No-such-hypothesis:-\u2018ident\u2019", "No such hypothesis: \u2018ident\u2019"], [58, 0, 1, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction", "No \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction"], [46, 0, 1, "coq:exn.Non-exhaustive-pattern-matching", "Non exhaustive pattern matching"], [9, 0, 1, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition", "Non extensible universe declaration not supported with monomorphic Program Definition"], [34, 0, 1, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019", "Non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019"], [14, 7, 1, "coq:attr.NonCumulative", "NonCumulative"], [67, 4, 1, "coq:flag.Nonrecursive-Elimination-Schemes", "Nonrecursive Elimination Schemes"], [54, 0, 1, "coq:exn.Not-a-context-variable", "Not a context variable"], [67, 0, 1, "coq:exn.Not-a-discriminable-equality", "Not a discriminable equality"], [67, 0, 1, "coq:exn.Not-a-negated-primitive-equality", "Not a negated primitive equality"], [11, 0, 1, "coq:exn.Not-a-valid-ring-equation", "Not a valid ring equation"], [54, 0, 1, "coq:exn.Not-a-variable-or-hypothesis", "Not a variable or hypothesis"], [54, 0, 1, "coq:exn.Not-an-evar", "Not an evar"], [58, 0, 1, "coq:exn.Not-an-exact-proof", "Not an exact proof"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-1-constructor", "Not an inductive goal with 1 constructor"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-2-constructors", "Not an inductive goal with 2 constructors"], [67, 0, 1, "coq:exn.Not-an-inductive-product", "Not an inductive product"], [64, 0, 1, "coq:exn.Not-convertible", "Not convertible"], [67, 0, 1, "coq:exn.Not-enough-constructors", "Not enough constructors"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018ident\u2019"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018natural\u2019"], [54, 0, 1, "coq:exn.Not-equal", "Not equal"], [54, 0, 1, "coq:exn.Not-equal-(due-to-universes)", "Not equal (due to universes)"], [54, 0, 1, "coq:exn.Not-ground", "Not ground"], [72, 0, 1, "coq:exn.Not-the-right-number-of-induction-arguments", "Not the right number of induction arguments"], [58, 0, 1, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)", "Not the right number of missing arguments (expected \u2018natural\u2019)"], [71, 3, 1, "coq:cmd.Notation", "Notation"], [71, 3, 1, "coq:cmd.Notation-(abbreviation)", "Notation (abbreviation)"], [55, 0, 1, "coq:exn.Notation-levels-must-range-between-0-and-6", "Notation levels must range between 0 and 6"], [67, 0, 1, "coq:exn.Nothing-to-inject", "Nothing to inject"], [3, 0, 1, "coq:exn.Nothing-to-rewrite", "Nothing to rewrite"], [5, 4, 1, "coq:flag.Nra-Cache", "Nra Cache"], [71, 3, 1, "coq:cmd.Number-Notation", "Number Notation"], [9, 3, 1, "coq:cmd.Obligation", "Obligation"], [9, 3, 1, "coq:cmd.Obligation-Tactic", "Obligation Tactic"], [9, 3, 1, "coq:cmd.Obligations", "Obligations"], [64, 3, 1, "coq:cmd.Opaque", "Opaque"], [71, 3, 1, "coq:cmd.Open-Scope", "Open Scope"], [66, 3, 1, "coq:cmd.Optimize-Heap", "Optimize Heap"], [66, 3, 1, "coq:cmd.Optimize-Proof", "Optimize Proof"], [28, 3, 1, "coq:cmd.Parameter", "Parameter"], [28, 3, 1, "coq:cmd.Parameters", "Parameters"], [44, 4, 1, "coq:flag.Parsing-Explicit", "Parsing Explicit"], [14, 7, 1, "coq:attr.Polymorphic", "Polymorphic"], [14, 4, 1, "coq:flag.Polymorphic-Inductive-Cumulativity", "Polymorphic Inductive Cumulativity"], [14, 0, 1, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead", "Polymorphic universe constraints can only be declared inside sections, use Monomorphic Constraint instead"], [14, 0, 1, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead", "Polymorphic universes can only be declared inside sections, use Monomorphic Universe instead"], [59, 4, 1, "coq:flag.Positivity-Checking", "Positivity Checking"], [57, 3, 1, "coq:cmd.Prenex-Implicits", "Prenex Implicits"], [9, 3, 1, "coq:cmd.Preterm", "Preterm"], [59, 3, 1, "coq:cmd.Primitive", "Primitive"], [37, 4, 1, "coq:flag.Primitive-Projections", "Primitive Projections"], [59, 3, 1, "coq:cmd.Print", "Print"], [59, 3, 1, "coq:cmd.Print-All", "Print All"], [59, 3, 1, "coq:cmd.Print-All-Dependencies", "Print All Dependencies"], [59, 3, 1, "coq:cmd.Print-Assumptions", "Print Assumptions"], [42, 3, 1, "coq:cmd.Print-Canonical-Projections", "Print Canonical Projections"], [4, 3, 1, "coq:cmd.Print-Classes", "Print Classes"], [4, 3, 1, "coq:cmd.Print-Coercion-Paths", "Print Coercion Paths"], [4, 3, 1, "coq:cmd.Print-Coercions", "Print Coercions"], [71, 3, 1, "coq:cmd.Print-Custom-Grammar", "Print Custom Grammar"], [66, 3, 1, "coq:cmd.Print-Debug-GC", "Print Debug GC"], [64, 3, 1, "coq:cmd.Print-Equivalent-Keys", "Print Equivalent Keys"], [2, 3, 1, "coq:cmd.Print-Extraction-Blacklist", "Print Extraction Blacklist"], [2, 3, 1, "coq:cmd.Print-Extraction-Callback", "Print Extraction Callback"], [2, 3, 1, "coq:cmd.Print-Extraction-Foreign", "Print Extraction Foreign"], [2, 3, 1, "coq:cmd.Print-Extraction-Inline", "Print Extraction Inline"], [11, 3, 1, "coq:cmd.Print-Fields", "Print Fields"], [62, 3, 1, "coq:cmd.Print-Firstorder-Solver", "Print Firstorder Solver"], [71, 3, 1, "coq:cmd.Print-Grammar", "Print Grammar"], [4, 3, 1, "coq:cmd.Print-Graph", "Print Graph"], [60, 3, 1, "coq:cmd.Print-Hint", "Print Hint"], [60, 3, 1, "coq:cmd.Print-HintDb", "Print HintDb"], [44, 3, 1, "coq:cmd.Print-Implicit", "Print Implicit"], [13, 3, 1, "coq:cmd.Print-Instances", "Print Instances"], [71, 3, 1, "coq:cmd.Print-Keywords", "Print Keywords"], [59, 3, 1, "coq:cmd.Print-Libraries", "Print Libraries"], [59, 3, 1, "coq:cmd.Print-LoadPath", "Print LoadPath"], [54, 3, 1, "coq:cmd.Print-Ltac", "Print Ltac"], [54, 3, 1, "coq:cmd.Print-Ltac-Signatures", "Print Ltac Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2", "Print Ltac2"], [55, 3, 1, "coq:cmd.Print-Ltac2-Signatures", "Print Ltac2 Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2-Type", "Print Ltac2 Type"], [59, 3, 1, "coq:cmd.Print-ML-Modules", "Print ML Modules"], [59, 3, 1, "coq:cmd.Print-ML-Path", "Print ML Path"], [35, 3, 1, "coq:cmd.Print-Module", "Print Module"], [35, 3, 1, "coq:cmd.Print-Module-Type", "Print Module Type"], [35, 3, 1, "coq:cmd.Print-Namespace", "Print Namespace"], [71, 3, 1, "coq:cmd.Print-Notation", "Print Notation"], [59, 3, 1, "coq:cmd.Print-Opaque-Dependencies", "Print Opaque Dependencies"], [29, 3, 1, "coq:cmd.Print-Options", "Print Options"], [59, 3, 1, "coq:cmd.Print-Registered", "Print Registered"], [59, 3, 1, "coq:cmd.Print-Registered-Schemes", "Print Registered Schemes"], [60, 3, 1, "coq:cmd.Print-Rewrite-HintDb", "Print Rewrite HintDb"], [11, 3, 1, "coq:cmd.Print-Rings", "Print Rings"], [71, 3, 1, "coq:cmd.Print-Scope", "Print Scope"], [71, 3, 1, "coq:cmd.Print-Scopes", "Print Scopes"], [59, 3, 1, "coq:cmd.Print-Section", "Print Section"], [64, 3, 1, "coq:cmd.Print-Strategies", "Print Strategies"], [64, 3, 1, "coq:cmd.Print-Strategy", "Print Strategy"], [29, 3, 1, "coq:cmd.Print-Table", "Print Table"], [29, 3, 1, "coq:cmd.Print-Tables", "Print Tables"], [59, 3, 1, "coq:cmd.Print-Transparent-Dependencies", "Print Transparent Dependencies"], [13, 3, 1, "coq:cmd.Print-Typeclasses", "Print Typeclasses"], [59, 3, 1, "coq:cmd.Print-Typing-Flags", "Print Typing Flags"], [14, 3, 1, "coq:cmd.Print-Universes", "Print Universes"], [71, 3, 1, "coq:cmd.Print-Visibility", "Print Visibility"], [59, 4, 1, "coq:flag.Printing-All", "Printing All"], [46, 4, 1, "coq:flag.Printing-Allow-Match-Default-Clause", "Printing Allow Match Default Clause"], [4, 8, 1, "coq:table.Printing-Coercion", "Printing Coercion"], [4, 4, 1, "coq:flag.Printing-Coercions", "Printing Coercions"], [59, 4, 1, "coq:flag.Printing-Compact-Contexts", "Printing Compact Contexts"], [37, 8, 1, "coq:table.Printing-Constructor", "Printing Constructor"], [59, 4, 1, "coq:flag.Printing-Dependent-Evars-Line", "Printing Dependent Evars Line"], [59, 6, 1, "coq:opt.Printing-Depth", "Printing Depth"], [43, 4, 1, "coq:flag.Printing-Existential-Instances", "Printing Existential Instances"], [46, 4, 1, "coq:flag.Printing-Factorizable-Match-Patterns", "Printing Factorizable Match Patterns"], [66, 4, 1, "coq:flag.Printing-Goal-Names", "Printing Goal Names"], [66, 4, 1, "coq:flag.Printing-Goal-Tags", "Printing Goal Tags"], [46, 8, 1, "coq:table.Printing-If", "Printing If"], [44, 4, 1, "coq:flag.Printing-Implicit", "Printing Implicit"], [44, 4, 1, "coq:flag.Printing-Implicit-Defensive", "Printing Implicit Defensive"], [46, 8, 1, "coq:table.Printing-Let", "Printing Let"], [46, 4, 1, "coq:flag.Printing-Match-All-Subterms", "Printing Match All Subterms"], [46, 4, 1, "coq:flag.Printing-Matching", "Printing Matching"], [71, 4, 1, "coq:flag.Printing-Notations", "Printing Notations"], [71, 4, 1, "coq:flag.Printing-Parentheses", "Printing Parentheses"], [37, 4, 1, "coq:flag.Printing-Primitive-Projection-Parameters", "Printing Primitive Projection Parameters"], [37, 4, 1, "coq:flag.Printing-Projections", "Printing Projections"], [71, 4, 1, "coq:flag.Printing-Raw-Literals", "Printing Raw Literals"], [37, 8, 1, "coq:table.Printing-Record", "Printing Record"], [37, 4, 1, "coq:flag.Printing-Records", "Printing Records"], [12, 4, 1, "coq:flag.Printing-Relevance-Marks", "Printing Relevance Marks"], [46, 4, 1, "coq:flag.Printing-Synth", "Printing Synth"], [59, 4, 1, "coq:flag.Printing-Unfocused", "Printing Unfocused"], [37, 4, 1, "coq:flag.Printing-Unfolded-Projection-As-Match", "Printing Unfolded Projection As Match"], [14, 4, 1, "coq:flag.Printing-Universes", "Printing Universes"], [44, 4, 1, "coq:flag.Printing-Use-Implicit-Types", "Printing Use Implicit Types"], [59, 6, 1, "coq:opt.Printing-Width", "Printing Width"], [46, 4, 1, "coq:flag.Printing-Wildcard", "Printing Wildcard"], [40, 7, 1, "coq:attr.Private", "Private"], [14, 4, 1, "coq:flag.Private-Polymorphic-Universes", "Private Polymorphic Universes"], [59, 3, 1, "coq:cmd.Profile", "Profile"], [9, 7, 1, "coq:attr.Program", "Program"], [9, 4, 1, "coq:flag.Program-Cases", "Program Cases"], [9, 4, 1, "coq:flag.Program-Generalized-Coercion", "Program Generalized Coercion"], [9, 4, 1, "coq:flag.Program-Mode", "Program Mode"], [66, 3, 1, "coq:cmd.Proof", "Proof"], [66, 3, 1, "coq:cmd.Proof-Mode", "Proof Mode"], [66, 3, 1, "coq:cmd.Proof-`term`", "Proof `term`"], [66, 3, 1, "coq:cmd.Proof-using", "Proof using"], [60, 3, 1, "coq:cmd.Proof-with", "Proof with"], [32, 3, 1, "coq:cmd.Property", "Property"], [32, 3, 1, "coq:cmd.Proposition", "Proposition"], [5, 5, 1, "coq:thm.Psatz", "Psatz"], [2, 3, 1, "coq:cmd.Pwd", "Pwd"], [66, 3, 1, "coq:cmd.Qed", "Qed"], [59, 3, 1, "coq:cmd.Quit", "Quit"], [37, 3, 1, "coq:cmd.Record", "Record"], [37, 0, 1, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive", "Records declared with the keyword Record or Structure cannot be recursive"], [2, 3, 1, "coq:cmd.Recursive-Extraction", "Recursive Extraction"], [2, 3, 1, "coq:cmd.Recursive-Extraction-Library", "Recursive Extraction Library"], [59, 3, 1, "coq:cmd.Redirect", "Redirect"], [59, 3, 1, "coq:cmd.Register", "Register"], [59, 3, 1, "coq:cmd.Register-Inline", "Register Inline"], [59, 3, 1, "coq:cmd.Register-Scheme", "Register Scheme"], [64, 4, 1, "coq:flag.Regular-Subst-Tactic", "Regular Subst Tactic"], [32, 3, 1, "coq:cmd.Remark", "Remark"], [29, 3, 1, "coq:cmd.Remove", "Remove"], [60, 3, 1, "coq:cmd.Remove-Hints", "Remove Hints"], [59, 3, 1, "coq:cmd.Require", "Require"], [59, 3, 1, "coq:cmd.Require-Export", "Require Export"], [59, 3, 1, "coq:cmd.Require-Import", "Require Import"], [71, 3, 1, "coq:cmd.Reserved-Infix", "Reserved Infix"], [71, 3, 1, "coq:cmd.Reserved-Notation", "Reserved Notation"], [59, 3, 1, "coq:cmd.Reset", "Reset"], [2, 3, 1, "coq:cmd.Reset-Extraction-Blacklist", "Reset Extraction Blacklist"], [2, 3, 1, "coq:cmd.Reset-Extraction-Callback", "Reset Extraction Callback"], [2, 3, 1, "coq:cmd.Reset-Extraction-Inline", "Reset Extraction Inline"], [59, 3, 1, "coq:cmd.Reset-Initial", "Reset Initial"], [54, 3, 1, "coq:cmd.Reset-Ltac-Profile", "Reset Ltac Profile"], [66, 3, 1, "coq:cmd.Restart", "Restart"], [44, 4, 1, "coq:flag.Reversible-Pattern-Implicit", "Reversible Pattern Implicit"], [10, 3, 1, "coq:cmd.Rewrite-Rule", "Rewrite Rule"], [10, 3, 1, "coq:cmd.Rewrite-Rules", "Rewrite Rules"], [10, 0, 1, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\"", "Rewrite rule declaration requires passing the flag "-allow-rewrite-rules""], [67, 4, 1, "coq:flag.Rewriting-Schemes", "Rewriting Schemes"], [11, 0, 1, "coq:exn.Ring-operation-should-be-declared-as-a-morphism", "Ring operation should be declared as a morphism"], [12, 0, 1, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off", "SProp is disallowed because the "Allow StrictProp" flag is off"], [66, 3, 1, "coq:cmd.Save", "Save"], [67, 3, 1, "coq:cmd.Scheme", "Scheme"], [67, 3, 1, "coq:cmd.Scheme-Boolean-Equality", "Scheme Boolean Equality"], [67, 3, 1, "coq:cmd.Scheme-Equality", "Scheme Equality"], [71, 0, 1, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore", "Scope delimiters should not start with an underscore"], [71, 0, 1, "coq:exn.Scope-names-should-not-start-with-an-underscore", "Scope names should not start with an underscore"], [59, 3, 1, "coq:cmd.Search", "Search"], [59, 8, 1, "coq:table.Search-Blacklist", "Search Blacklist"], [59, 4, 1, "coq:flag.Search-Output-Name-Only", "Search Output Name Only"], [59, 3, 1, "coq:cmd.SearchPattern", "SearchPattern"], [59, 3, 1, "coq:cmd.SearchRewrite", "SearchRewrite"], [38, 3, 1, "coq:cmd.Section", "Section"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion"], [2, 3, 1, "coq:cmd.Separate-Extraction", "Separate Extraction"], [29, 3, 1, "coq:cmd.Set", "Set"], [35, 4, 1, "coq:flag.Short-Module-Printing", "Short Module Printing"], [66, 3, 1, "coq:cmd.Show", "Show"], [66, 3, 1, "coq:cmd.Show-Conjectures", "Show Conjectures"], [66, 3, 1, "coq:cmd.Show-Existentials", "Show Existentials"], [2, 3, 1, "coq:cmd.Show-Extraction", "Show Extraction"], [66, 3, 1, "coq:cmd.Show-Goal", "Show Goal"], [66, 3, 1, "coq:cmd.Show-Intro", "Show Intro"], [66, 3, 1, "coq:cmd.Show-Intros", "Show Intros"], [5, 3, 1, "coq:cmd.Show-Lia-Profile", "Show Lia Profile"], [54, 3, 1, "coq:cmd.Show-Ltac-Profile", "Show Ltac Profile"], [66, 3, 1, "coq:cmd.Show-Match", "Show Match"], [9, 3, 1, "coq:cmd.Show-Obligation-Tactic", "Show Obligation Tactic"], [66, 3, 1, "coq:cmd.Show-Proof", "Show Proof"], [66, 3, 1, "coq:cmd.Show-Universes", "Show Universes"], [5, 3, 1, "coq:cmd.Show-Zify", "Show Zify"], [35, 0, 1, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match", "Signature components for field \u2018ident\u2019 do not match"], [59, 4, 1, "coq:flag.Silent", "Silent"], [9, 3, 1, "coq:cmd.Solve-All-Obligations", "Solve All Obligations"], [9, 3, 1, "coq:cmd.Solve-Obligations", "Solve Obligations"], [66, 4, 1, "coq:flag.Solve-Unification-Constraints", "Solve Unification Constraints"], [57, 4, 1, "coq:flag.SsrHave-NoTCResolution", "SsrHave NoTCResolution"], [57, 4, 1, "coq:flag.SsrIdents", "SsrIdents"], [57, 4, 1, "coq:flag.SsrOldRewriteGoalsOrder", "SsrOldRewriteGoalsOrder"], [57, 4, 1, "coq:flag.SsrRewrite", "SsrRewrite"], [71, 2, 1, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)", "Stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed)"], [64, 3, 1, "coq:cmd.Strategy", "Strategy"], [44, 4, 1, "coq:flag.Strict-Implicit", "Strict Implicit"], [14, 4, 1, "coq:flag.Strict-Universe-Declaration", "Strict Universe Declaration"], [71, 3, 1, "coq:cmd.String-Notation", "String Notation"], [44, 4, 1, "coq:flag.Strongly-Strict-Implicit", "Strongly Strict Implicit"], [67, 4, 1, "coq:flag.Structural-Injection", "Structural Injection"], [37, 3, 1, "coq:cmd.Structure", "Structure"], [4, 3, 1, "coq:cmd.SubClass", "SubClass"], [59, 3, 1, "coq:cmd.Succeed", "Succeed"], [66, 4, 1, "coq:flag.Suggest-Proof-Using", "Suggest Proof Using"], [10, 3, 1, "coq:cmd.Symbol", "Symbol"], [10, 3, 1, "coq:cmd.Symbols", "Symbols"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])", "Syntax error: [prim:reference] expected after 'Notation' (in [vernac:command])"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])", "Syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command])"], [71, 3, 1, "coq:cmd.Tactic-Notation", "Tactic Notation"], [54, 0, 1, "coq:exn.Tactic-failure", "Tactic failure"], [54, 0, 1, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)", "Tactic failure (level \u2018natural\u2019)"], [54, 0, 1, "coq:exn.Tactic-failure:--succeeds", "Tactic failure: <tactic closure> succeeds"], [64, 0, 1, "coq:exn.Tactic-failure:-Setoid-library-not-loaded", "Tactic failure: Setoid library not loaded"], [64, 0, 1, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal", "Tactic generated a subgoal identical to the original goal"], [64, 0, 1, "coq:exn.Terms-do-not-have-convertible-types", "Terms do not have convertible types"], [29, 3, 1, "coq:cmd.Test", "Test"], [60, 0, 1, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic", "The "at" syntax isn't available yet for the autorewrite tactic"], [41, 0, 1, "coq:exn.The-&-modifier-may-only-occur-once", "The & modifier may only occur once"], [71, 2, 1, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type", "The 'abstract after' directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type"], [41, 0, 1, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given", "The 'clear implicits' flag must be omitted if implicit annotations are given"], [41, 0, 1, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations", "The 'default implicits' flag is incompatible with implicit annotations"], [41, 0, 1, "coq:exn.The-/-modifier-may-only-occur-once", "The / modifier may only occur once"], [59, 0, 1, "coq:exn.The-command-has-not-failed!", "The command has not failed!"], [34, 0, 1, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019", "The conclusion of \u2018type\u2019 is not valid; it must be built from \u2018ident\u2019"], [46, 0, 1, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments", "The constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments"], [14, 0, 1, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context", "The cumulative attribute can only be used in a polymorphic context"], [46, 0, 1, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)", "The elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case)"], [35, 0, 1, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019", "The field \u2018ident\u2019 is missing in \u2018qualid\u2019"], [72, 0, 1, "coq:exn.The-recursive-argument-must-be-specified", "The recursive argument must be specified"], [55, 0, 1, "coq:exn.The-reference-X-was-not-found-in-the-current-environment", "The reference X was not found in the current environment"], [64, 0, 1, "coq:exn.The-reference-is-not-unfoldable", "The reference is not unfoldable"], [64, 0, 1, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment", "The reference \u2018qualid\u2019 was not found in the current environment"], [58, 0, 1, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type", "The term "\u2018type\u2019" has type "\u2018type\u2019" which should be Set, Prop or Type"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant", "The term \u2018qualid\u2019 is already defined as foreign custom constant"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant", "The term \u2018qualid\u2019 is already defined as inline custom constant"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type", "The term \u2018term\u2019 has type \u2018type\u2019 which should be Set, Prop or Type"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'", "The term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019'"], [67, 0, 1, "coq:exn.The-type-has-no-constructors", "The type has no constructors"], [59, 0, 1, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked", "The type \u2018ident\u2019 must be registered before this construction can be typechecked"], [46, 0, 1, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term", "The variable ident is bound several times in pattern term"], [58, 0, 1, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared", "The variable \u2018ident\u2019 is already declared"], [40, 0, 1, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019", "The \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019"], [32, 3, 1, "coq:cmd.Theorem", "Theorem"], [54, 0, 1, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019", "There is already an Ltac named \u2018qualid\u2019"], [54, 0, 1, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019", "There is no Ltac named \u2018qualid\u2019"], [29, 2, 1, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag or option with this name: "\u2018setting_name\u2019""], [29, 0, 1, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag, option or table with this name: "\u2018setting_name\u2019""], [29, 0, 1, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no qualid-valued table with this name: "\u2018setting_name\u2019""], [29, 0, 1, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no string-valued table with this name: "\u2018setting_name\u2019""], [38, 0, 1, "coq:exn.There-is-nothing-to-end", "There is nothing to end"], [29, 2, 1, "coq:warn.This-command-does-not-support-this-attribute", "This command does not support this attribute"], [59, 0, 1, "coq:exn.This-object-does-not-support-universe-names", "This object does not support universe names"], [66, 0, 1, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way", "This proof is focused, but cannot be unfocused this way"], [54, 0, 1, "coq:exn.This-tactic-has-more-than-one-success", "This tactic has more than one success"], [59, 3, 1, "coq:cmd.Time", "Time"], [59, 3, 1, "coq:cmd.Timeout", "Timeout"], [71, 2, 1, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019", "To avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019"], [41, 0, 1, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified", "To rename arguments the 'rename' flag must be specified"], [64, 3, 1, "coq:cmd.Transparent", "Transparent"], [9, 4, 1, "coq:flag.Transparent-Obligations", "Transparent Obligations"], [35, 2, 1, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!", "Trying to mask the absolute name \u2018qualid\u2019!"], [59, 3, 1, "coq:cmd.Type", "Type"], [67, 0, 1, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019", "Type of \u2018ident\u2019 is not an equality of recognized \u03a3 types: expected one of sig sig2 sigT sigT2 sigT2 ex or ex2 but got \u2018term\u2019"], [13, 4, 1, "coq:flag.Typeclass-Resolution-For-Conversion", "Typeclass Resolution For Conversion"], [13, 4, 1, "coq:flag.Typeclasses-Debug", "Typeclasses Debug"], [13, 6, 1, "coq:opt.Typeclasses-Debug-Verbosity", "Typeclasses Debug Verbosity"], [13, 6, 1, "coq:opt.Typeclasses-Default-Mode", "Typeclasses Default Mode"], [13, 4, 1, "coq:flag.Typeclasses-Dependency-Order", "Typeclasses Dependency Order"], [13, 6, 1, "coq:opt.Typeclasses-Depth", "Typeclasses Depth"], [13, 4, 1, "coq:flag.Typeclasses-Iterative-Deepening", "Typeclasses Iterative Deepening"], [13, 4, 1, "coq:flag.Typeclasses-Limit-Intros", "Typeclasses Limit Intros"], [13, 3, 1, "coq:cmd.Typeclasses-Opaque", "Typeclasses Opaque"], [13, 4, 1, "coq:flag.Typeclasses-Strict-Resolution", "Typeclasses Strict Resolution"], [13, 3, 1, "coq:cmd.Typeclasses-Transparent", "Typeclasses Transparent"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Instances", "Typeclasses Unique Instances"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Solutions", "Typeclasses Unique Solutions"], [13, 3, 1, "coq:cmd.Typeclasses-eauto", "Typeclasses eauto"], [67, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019"], [58, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019"], [46, 0, 1, "coq:exn.Unable-to-infer-a-match-predicate", "Unable to infer a match predicate"], [3, 0, 1, "coq:exn.Unable-to-satisfy-the-rewriting-constraints", "Unable to satisfy the rewriting constraints"], [58, 0, 1, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019", "Unable to unify \u2018one_term\u2019 with \u2018one_term\u2019"], [55, 0, 1, "coq:exn.Unbound-[value|constructor]-X", "Unbound [value|constructor] X"], [54, 0, 1, "coq:exn.Unbound-context-identifier-\u2018ident\u2019", "Unbound context identifier \u2018ident\u2019"], [14, 0, 1, "coq:exn.Undeclared-universe-\u2018ident\u2019", "Undeclared universe \u2018ident\u2019"], [71, 3, 1, "coq:cmd.Undelimit-Scope", "Undelimit Scope"], [66, 3, 1, "coq:cmd.Undo", "Undo"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected non-option term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected non-option term \u2018term\u2019 while parsing a string notation"], [71, 0, 1, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation", "Unexpected only parsing for an only printing notation"], [71, 0, 1, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation", "Unexpected only printing for an only parsing notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected term \u2018term\u2019 while parsing a string notation"], [66, 3, 1, "coq:cmd.Unfocus", "Unfocus"], [66, 3, 1, "coq:cmd.Unfocused", "Unfocused"], [34, 4, 1, "coq:flag.Uniform-Inductive-Parameters", "Uniform Inductive Parameters"], [14, 3, 1, "coq:cmd.Universe", "Universe"], [59, 4, 1, "coq:flag.Universe-Checking", "Universe Checking"], [14, 4, 1, "coq:flag.Universe-Minimization-ToSet", "Universe Minimization ToSet"], [14, 4, 1, "coq:flag.Universe-Polymorphism", "Universe Polymorphism"], [14, 0, 1, "coq:exn.Universe-inconsistency", "Universe inconsistency"], [59, 0, 1, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019", "Universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019"], [14, 3, 1, "coq:cmd.Universes", "Universes"], [71, 0, 1, "coq:exn.Unknown-custom-entry", "Unknown custom entry"], [71, 0, 1, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019", "Unknown custom entry: \u2018ident\u2019"], [66, 0, 1, "coq:exn.Unknown-inductive-type", "Unknown inductive type"], [29, 3, 1, "coq:cmd.Unset", "Unset"], [66, 3, 1, "coq:cmd.Unshelve", "Unshelve"], [71, 0, 1, "coq:exn.Unterminated-string-in-notation", "Unterminated string in notation"], [28, 2, 1, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\"", "Use of "Variable" or "Hypothesis" outside sections behaves as "#[local] Parameter" or "#[local] Axiom""], [71, 2, 1, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax", "Use of \u2018string\u2019 Notation is deprecated as it is inconsistent with pattern syntax"], [13, 2, 1, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d", "Using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d"], [66, 3, 1, "coq:cmd.Validate-Proof", "Validate Proof"], [28, 3, 1, "coq:cmd.Variable", "Variable"], [66, 2, 1, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables", "Variable All is shadowed by Collection named All containing all variables"], [28, 3, 1, "coq:cmd.Variables", "Variables"], [40, 3, 1, "coq:cmd.Variant", "Variant"], [59, 6, 1, "coq:opt.Warnings", "Warnings"], [44, 0, 1, "coq:exn.Wrong-argument-name", "Wrong argument name"], [44, 0, 1, "coq:exn.Wrong-argument-position", "Wrong argument position"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here", "Wrong bullet \u2018bullet\u2019: Bullet \u2018bullet\u2019 is mandatory here"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished", "Wrong bullet \u2018bullet\u2019: Current bullet \u2018bullet\u2019 is not finished"], [54, 1, 1, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[ \u2026 | \u2026 | \u2026 ] (dispatch)"], [54, 1, 1, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[> \u2026 | \u2026 | \u2026 ] (dispatch)"], [55, 7, 1, "coq:attr.abstract", "abstract"], [66, 1, 1, "coq:tacn.abstract", "abstract"], [57, 1, 1, "coq:tacn.abstract-(ssreflect)", "abstract (ssreflect)"], [58, 1, 1, "coq:tacn.absurd", "absurd"], [71, 7, 1, "coq:attr.add_bottom", "add_bottom"], [71, 7, 1, "coq:attr.add_top", "add_top"], [66, 1, 1, "coq:tacn.admit", "admit"], [58, 1, 1, "coq:tacn.apply", "apply"], [57, 1, 1, "coq:tacn.apply-(ssreflect)", "apply (ssreflect)"], [58, 1, 1, "coq:tacn.assert", "assert"], [54, 1, 1, "coq:tacn.assert_fails", "assert_fails"], [54, 1, 1, "coq:tacn.assert_succeeds", "assert_succeeds"], [58, 1, 1, "coq:tacn.assumption", "assumption"], [60, 1, 1, "coq:tacn.auto", "auto"], [13, 1, 1, "coq:tacn.autoapply", "autoapply"], [60, 1, 1, "coq:tacn.autorewrite", "autorewrite"], [60, 1, 1, "coq:tacn.autounfold", "autounfold"], [60, 1, 1, "coq:tacn.autounfold_one", "autounfold_one"], [62, 1, 1, "coq:tacn.btauto", "btauto"], [66, 1, 1, "coq:tacn.bullet-(--+-*)", "bullet (- + *)"], [57, 1, 1, "coq:tacn.by", "by"], [59, 7, 1, "coq:attr.bypass_check(guard)", "bypass_check(guard)"], [59, 7, 1, "coq:attr.bypass_check(positivity)", "bypass_check(positivity)"], [59, 7, 1, "coq:attr.bypass_check(universes)", "bypass_check(universes)"], [42, 7, 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"coq:tacn.head_of_constr", "head_of_constr"], [64, 1, 1, "coq:tacn.hnf", "hnf"], [54, 1, 1, "coq:tacn.idtac", "idtac"], [55, 1, 1, "coq:tacn.if-then-else-(Ltac2)", "if-then-else (Ltac2)"], [57, 1, 1, "coq:tacn.in", "in"], [67, 1, 1, "coq:tacn.induction", "induction"], [54, 3, 1, "coq:cmd.infoH", "infoH"], [60, 1, 1, "coq:tacn.info_auto", "info_auto"], [60, 1, 1, "coq:tacn.info_eauto", "info_eauto"], [60, 1, 1, "coq:tacn.info_trivial", "info_trivial"], [67, 1, 1, "coq:tacn.injection", "injection"], [58, 1, 1, "coq:tacn.instantiate", "instantiate"], [58, 1, 1, "coq:tacn.intro", "intro"], [58, 1, 1, "coq:tacn.intros", "intros"], [58, 1, 1, "coq:tacn.intros-until", "intros until"], [62, 1, 1, "coq:tacn.intuition", "intuition"], [67, 1, 1, "coq:tacn.inversion", "inversion"], [67, 1, 1, "coq:tacn.inversion_clear", "inversion_clear"], [67, 1, 1, "coq:tacn.inversion_sigma", "inversion_sigma"], [54, 1, 1, "coq:tacn.is_cofix", "is_cofix"], [54, 1, 1, "coq:tacn.is_const", "is_const"], [54, 1, 1, "coq:tacn.is_constructor", "is_constructor"], [54, 1, 1, "coq:tacn.is_evar", "is_evar"], [54, 1, 1, "coq:tacn.is_fix", "is_fix"], [54, 1, 1, "coq:tacn.is_ground", "is_ground"], [54, 1, 1, "coq:tacn.is_ind", "is_ind"], [54, 1, 1, "coq:tacn.is_proj", "is_proj"], [54, 1, 1, "coq:tacn.is_var", "is_var"], [58, 1, 1, "coq:tacn.lapply", "lapply"], [58, 0, 1, "coq:exn.lapply-needs-a-non-dependent-product", "lapply needs a non-dependent product"], [57, 1, 1, "coq:tacn.last", "last"], [57, 9, 1, "coq:tacv.last-first", "last first"], [64, 1, 1, "coq:tacn.lazy", "lazy"], [55, 1, 1, "coq:tacn.lazy_match!", "lazy_match!"], [55, 1, 1, "coq:tacn.lazy_match!-goal", "lazy_match! goal"], [54, 1, 1, "coq:tacn.lazymatch", "lazymatch"], [54, 1, 1, "coq:tacn.lazymatch-goal", "lazymatch goal"], [67, 1, 1, "coq:tacn.left", "left"], [54, 1, 1, "coq:tacn.let", "let"], [5, 1, 1, "coq:tacn.lia", "lia"], [35, 7, 1, "coq:attr.local", "local"], [5, 1, 1, "coq:tacn.lra", "lra"], [54, 1, 1, "coq:tacn.ltac-seq", "ltac-seq"], [54, 1, 1, "coq:tacn.match", "match"], [55, 1, 1, "coq:tacn.match-(Ltac2)", "match (Ltac2)"], [54, 1, 1, "coq:tacn.match-goal", "match goal"], [55, 1, 1, "coq:tacn.match!", "match!"], [55, 1, 1, "coq:tacn.match!-goal", "match! goal"], [60, 2, 1, "coq:warn.mismatched-hint-db", "mismatched-hint-db"], [13, 7, 1, "coq:attr.mode", "mode"], [58, 1, 1, "coq:tacn.move", "move"], [57, 1, 1, "coq:tacn.move-(ssreflect)", "move (ssreflect)"], [55, 1, 1, "coq:tacn.multi_match!", "multi_match!"], [55, 1, 1, "coq:tacn.multi_match!-goal", "multi_match! goal"], [54, 1, 1, "coq:tacn.multimatch", "multimatch"], [54, 1, 1, "coq:tacn.multimatch-goal", "multimatch goal"], [58, 1, 1, "coq:tacn.native_cast_no_check", "native_cast_no_check"], [64, 1, 1, "coq:tacn.native_compute", "native_compute"], [5, 1, 1, "coq:tacn.nia", "nia"], [4, 7, 1, "coq:attr.nonuniform", "nonuniform"], [54, 0, 1, "coq:exn.not-a-cofix-definition", "not a cofix definition"], [54, 0, 1, "coq:exn.not-a-constant", "not a 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"coq:tacn.repeat", "repeat"], [64, 1, 1, "coq:tacn.replace", "replace"], [54, 1, 1, "coq:tacn.reset-ltac-profile", "reset ltac profile"], [54, 1, 1, "coq:tacn.restart_timer", "restart_timer"], [4, 7, 1, "coq:attr.reversible", "reversible"], [58, 1, 1, "coq:tacn.revert", "revert"], [58, 1, 1, "coq:tacn.revert-dependent", "revert dependent"], [66, 1, 1, "coq:tacn.revgoals", "revgoals"], [64, 1, 1, "coq:tacn.rewrite", "rewrite"], [57, 1, 1, "coq:tacn.rewrite-(ssreflect)", "rewrite (ssreflect)"], [64, 1, 1, "coq:tacn.rewrite-*", "rewrite *"], [3, 1, 1, "coq:tacn.rewrite_db", "rewrite_db"], [3, 1, 1, "coq:tacn.rewrite_strat", "rewrite_strat"], [67, 1, 1, "coq:tacn.right", "right"], [11, 1, 1, "coq:tacn.ring", "ring"], [11, 1, 1, "coq:tacn.ring_lookup", "ring_lookup"], [11, 1, 1, "coq:tacn.ring_simplify", "ring_simplify"], [62, 1, 1, "coq:tacn.rtauto", "rtauto"], [58, 1, 1, "coq:tacn.set", "set"], [57, 1, 1, "coq:tacn.set-(ssreflect)", "set (ssreflect)"], [3, 1, 1, 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"simple induction"], [67, 1, 1, "coq:tacn.simple-injection", "simple injection"], [67, 1, 1, "coq:tacn.simple-inversion", "simple inversion"], [64, 1, 1, "coq:tacn.simple-subst", "simple subst"], [67, 1, 1, "coq:tacn.simplify_eq", "simplify_eq"], [72, 1, 1, "coq:tacn.soft-functional-induction", "soft functional induction"], [54, 1, 1, "coq:tacn.solve", "solve"], [66, 1, 1, "coq:tacn.solve_constraints", "solve_constraints"], [58, 1, 1, "coq:tacn.specialize", "specialize"], [58, 1, 1, "coq:tacn.specialize_eqs", "specialize_eqs"], [67, 1, 1, "coq:tacn.split", "split"], [54, 1, 1, "coq:tacn.start-ltac-profiling", "start ltac profiling"], [64, 1, 1, "coq:tacn.stepl", "stepl"], [64, 1, 1, "coq:tacn.stepr", "stepr"], [54, 1, 1, "coq:tacn.stop-ltac-profiling", "stop ltac profiling"], [64, 1, 1, "coq:tacn.subst", "subst"], [64, 1, 1, "coq:tacn.substitute", "substitute"], [57, 1, 1, "coq:tacn.suff", "suff"], [57, 1, 1, "coq:tacn.suffices", "suffices"], [66, 1, 1, "coq:tacn.swap", "swap"], [64, 1, 1, "coq:tacn.symmetry", "symmetry"], [62, 1, 1, "coq:tacn.tauto", "tauto"], [34, 0, 1, "coq:exn.template-and-polymorphism-not-compatible", "template and polymorphism not compatible"], [54, 1, 1, "coq:tacn.time", "time"], [54, 1, 1, "coq:tacn.time_constr", "time_constr"], [54, 1, 1, "coq:tacn.timeout", "timeout"], [64, 1, 1, "coq:tacn.transitivity", "transitivity"], [66, 1, 1, "coq:tacn.transparent_abstract", "transparent_abstract"], [60, 1, 1, "coq:tacn.trivial", "trivial"], [54, 1, 1, "coq:tacn.try", "try"], [54, 1, 1, "coq:tacn.tryif", "tryif"], [54, 1, 1, "coq:tacn.type-of", "type of"], [54, 1, 1, "coq:tacn.type_term", "type_term"], [13, 1, 1, "coq:tacn.typeclasses-eauto", "typeclasses eauto"], [57, 1, 1, "coq:tacn.under", "under"], [64, 1, 1, "coq:tacn.unfold", "unfold"], [54, 1, 1, "coq:tacn.unify", "unify"], [14, 7, 1, "coq:attr.universes(cumulative)", "universes(cumulative)"], [14, 7, 1, "coq:attr.universes(polymorphic)", "universes(polymorphic)"], [34, 7, 1, "coq:attr.universes(template)", "universes(template)"], [57, 1, 1, "coq:tacn.unlock", "unlock"], [66, 1, 1, "coq:tacn.unshelve", "unshelve"], [66, 7, 1, "coq:attr.using", "using"], [58, 1, 1, "coq:tacn.vm_cast_no_check", "vm_cast_no_check"], [64, 1, 1, "coq:tacn.vm_compute", "vm_compute"], [74, 7, 1, "coq:attr.warn", "warn"], [29, 7, 1, "coq:attr.warning", "warning"], [29, 7, 1, "coq:attr.warnings", "warnings"], [64, 1, 1, "coq:tacn.with_strategy", "with_strategy"], [57, 1, 1, "coq:tacn.without-loss", "without loss"], [5, 1, 1, "coq:tacn.wlia", "wlia"], [57, 1, 1, "coq:tacn.wlog", "wlog"], [5, 1, 1, "coq:tacn.wlra_Q", "wlra_Q"], [5, 1, 1, "coq:tacn.wnia", "wnia"], [5, 1, 1, "coq:tacn.wnra_Q", "wnra_Q"], [5, 1, 1, "coq:tacn.wpsatz_Q", "wpsatz_Q"], [5, 1, 1, "coq:tacn.wpsatz_Z", "wpsatz_Z"], [5, 1, 1, "coq:tacn.wsos_Q", "wsos_Q"], [5, 1, 1, "coq:tacn.wsos_Z", "wsos_Z"], [5, 1, 1, "coq:tacn.xlia", "xlia"], [5, 1, 1, "coq:tacn.xlra_Q", "xlra_Q"], [5, 1, 1, "coq:tacn.xlra_R", "xlra_R"], [5, 1, 1, "coq:tacn.xnia", "xnia"], [5, 1, 1, "coq:tacn.xnra_Q", "xnra_Q"], [5, 1, 1, "coq:tacn.xnra_R", "xnra_R"], [5, 1, 1, "coq:tacn.xpsatz_Q", "xpsatz_Q"], [5, 1, 1, "coq:tacn.xpsatz_R", "xpsatz_R"], [5, 1, 1, "coq:tacn.xpsatz_Z", "xpsatz_Z"], [5, 1, 1, "coq:tacn.xsos_Q", "xsos_Q"], [5, 1, 1, "coq:tacn.xsos_R", "xsos_R"], [5, 1, 1, "coq:tacn.xsos_Z", "xsos_Z"], [5, 1, 1, "coq:tacn.zify", "zify"], [5, 1, 1, "coq:tacn.zify_elim_let", "zify_elim_let"], [5, 1, 1, "coq:tacn.zify_iter_let", "zify_iter_let"], [5, 1, 1, "coq:tacn.zify_iter_specs", "zify_iter_specs"], [5, 1, 1, "coq:tacn.zify_op", "zify_op"], [5, 1, 1, "coq:tacn.zify_saturate", "zify_saturate"], [66, 1, 1, "coq:tacn.{", "{"], [54, 1, 1, "coq:tacn.||-(first-tactic-making-progress)", "|| (first tactic making progress)"], [66, 1, 1, "coq:tacn.}", "}"], [4, 0, 1, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant", "\u2018coercion_class\u2019 must be a transparent constant"], [37, 0, 1, "coq:exn.\u2018ident\u2019-already-exists", "\u2018ident\u2019 already exists"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined", "\u2018ident\u2019 cannot be defined"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not", "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined", "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined"], [13, 2, 1, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass", "\u2018ident\u2019 is already declared as a typeclass"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-already-used", "\u2018ident\u2019 is already used"], [66, 2, 1, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable", "\u2018ident\u2019 is both name of a Collection and Variable, Collection \u2018ident\u2019 takes precedence over Variable"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-not-a-local-definition", "\u2018ident\u2019 is not a local definition"], [67, 0, 1, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types", "\u2018ident\u2019 is not an equality of \u03a3 types"], [64, 0, 1, "coq:exn.\u2018ident\u2019-is-opaque", "\u2018ident\u2019 is opaque"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion", "\u2018ident\u2019 is used in the conclusion"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019", "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019"], [66, 2, 1, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command", "\u2018ident\u2019 was already a defined Variable, the name \u2018ident\u2019 will refer to Collection when executing "Proof using" command"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint", "\u2018qualid\u2019 cannot be used as a hint"], [64, 0, 1, "coq:exn.\u2018qualid\u2019-does-not-occur", "\u2018qualid\u2019 does not occur"], [4, 2, 1, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition", "\u2018qualid\u2019 does not respect the uniform inheritance condition"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-already-a-coercion", "\u2018qualid\u2019 is already a coercion"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference", "\u2018qualid\u2019 is bound to a notation that does not denote a reference"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-function", "\u2018qualid\u2019 is not a function"], [35, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-module", "\u2018qualid\u2019 is not a module"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type", "\u2018qualid\u2019 is not an inductive type"], [59, 0, 1, "coq:exn.\u2018qualid\u2019-not-a-defined-object", "\u2018qualid\u2019 not a defined object"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-not-declared", "\u2018qualid\u2019 not declared"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019", "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019"], [74, 2, 1, "coq:warn.\u2018string\u2019", "\u2018string\u2019"], [71, 0, 1, "coq:exn.\u2018type\u2019-is-not-an-inductive-type", "\u2018type\u2019 is not an inductive type"], [71, 2, 1, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation", "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation"], [54, 1, 1, "coq:tacn.\u2026-:-\u2026-(goal-selector)", "\u2026 : \u2026 (goal selector)"], [57, 1, 1, "coq:tacn.\u2026-:-\u2026-(ssreflect)", "\u2026 : \u2026 (ssreflect)"]], "..": [[4, 2, 1, "coq:warn....-is-not-definitionally-an-identity-function", " is not definitionally an identity function"]], "Argument \u2018name\u2019 is a trailing implicit, so it can't be declared non maximal": [[44, 0, 1, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]", " Please use { } instead of [ ]"]], "Cannot infer a term for this placeholder": [[44, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)", " (Casual use of implicit arguments)"], [58, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)", " (refine)"]], "Compiled library \u2018ident\u2019": [[59, 0, 1, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019", "vo makes inconsistent assumptions over library \u2018qualid\u2019"]], "Duplicate clear of H": [[57, 2, 1, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H", " Use { }H instead of { H }H"]], "File ... found twice in ..": [[59, 2, 1, "coq:warn.File-...-found-twice-in-...", ""]], "Goal is solvable by congruence but some arguments are missing": [[62, 0, 1, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms", " Try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms"]], "Library File (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Library File \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Ltac Profiler encountered an invalid stack (no self node)": [[54, 2, 1, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution", " This can happen if you reset the profile during tactic execution"]], "Ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Nested proofs are discouraged and not allowed by default. This error probably means that you forgot to close the last "Proof." with "Qed." or "Defined."": [[32, 0, 1, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on", " If you really intended to use nested proofs, you can do so by turning the "Nested Proofs Allowed" flag on"]], "New coercion path ... is ambiguous with existing ..": [[4, 2, 1, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-...", ""]], "No information can be deduced from this equality and the injectivity of constructors. This may be because the terms are convertible, or due to pattern matching restrictions in the sort Prop": [[67, 0, 1, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities", " You can try to use option Set Keep Proof Equalities"]], "No such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ..": [[58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)", ")"]], "No such goal": [[54, 0, 1, "coq:exn.No-such-goal.-(Goal-selector)", " (Goal selector)"], [54, 0, 1, "coq:exn.No-such-goal.-(fail)", " (fail)"], [66, 0, 1, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019", " Focus next goal with bullet \u2018bullet\u2019"], [66, 0, 1, "coq:exn.No-such-goal.-Try-unfocusing-with-}", " Try unfocusing with }"]], "Notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Proof is not complete": [[66, 0, 1, "coq:exn.Proof-is-not-complete.-(abstract)", " (abstract)"], [58, 0, 1, "coq:exn.Proof-is-not-complete.-(assert)", " (assert)"]], "Require inside a module is deprecated and strongly discouraged": [[59, 2, 1, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one", " You can Require a module at toplevel and optionally Import it inside another one"]], "Required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ..": [[59, 0, 1, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)", ")"]], "SSReflect: cannot obtain new equations out of ..": [[57, 2, 1, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-...", ""]], "Tactic Notation \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "The file \u2018ident\u2019": [[59, 0, 1, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019", "vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019"]], "The relation \u2018ident\u2019 is not a declared reflexive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared symmetric relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared transitive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "This command is just asserting the names of arguments of \u2018qualid\u2019. If this is what you want, add ': assert' to silence the warning. If you want to clear implicit arguments, add ': clear implicits'": [[41, 2, 1, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'", " If you want to clear notation scopes, add ': clear scopes'"]], "This hint is not local but depends on a section variable": [[60, 2, 1, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed", " It will disappear when the section is closed"]], "Type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. Expected type is: \u2018type\u2019 instead of \u2018type\u2019": [[71, 2, 1, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation", " This might yield ill typed terms when using the notation"]], "Unable to apply lemma of type "..." on hypothesis of type "..": [[58, 0, 1, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\"", """]], "Unused variable \u2018ident\u2019 might be a misspelled constructor. Use _ or _\u2018ident\u2019 to silence this warning": [[46, 2, 1, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning.", ""]], "package-name": [[59, 0, 1, "coq:exn.package-name.foo-and-not-foo_plugin", "foo and not foo_plugin"]], "plugin name anymore": [[59, 0, 1, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their", " Plugins should be loaded using their"]], "\u2018ident\u2019 already exists": [[28, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)", " (Axiom)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)", " (Definition)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)", " (Theorem)"]], "\u2018qualid\u2019 should go from Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)", "string to \u2018type\u2019 or (option \u2018type\u2019)"]], "\u2018qualid\u2019 should go from Number.int to \u2018type\u2019 or (option \u2018type\u2019). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or PrimFloat.float or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 or PrimFloat first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to Number.int or (option Number.int). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to T or (option T), where T is either Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string", "string"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by "_""]], "\u2018string\u2019 cannot be interpreted as a known notation": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by "_""]]}, "objtypes": {"0": "coq:exn", "1": "coq:tacn", "2": "coq:warn", "3": "coq:cmd", "4": "coq:flag", "5": "coq:thm", "6": "coq:opt", "7": "coq:attr", "8": "coq:table", "9": "coq:tacv"}, "objnames": {"0": ["coq", "exn", "Coq exn"], "1": ["coq", "tacn", "Coq tacn"], "2": ["coq", "warn", "Coq warn"], "3": ["coq", "cmd", "Coq cmd"], "4": ["coq", "flag", "Coq flag"], "5": ["coq", "thm", "Coq thm"], "6": ["coq", "opt", "Coq opt"], "7": ["coq", "attr", "Coq attr"], "8": ["coq", "table", "Coq table"], "9": ["coq", "tacv", "Coq tacv"]}, "titleterms": {"program": [2, 6, 9, 27, 55, 60], "extract": [2, 17, 24], "gener": [2, 3, 4, 11, 14, 23, 29, 44, 54, 55, 57, 67, 71, 72], "ml": [2, 55], "code": 2, "option": [2, 17, 21, 29, 51, 66, 75], "set": [2, 13, 26, 29, 37, 41, 57, 58, 60, 66], "target": [2, 53], "languag": [2, 17, 24, 25, 33, 45, 55, 57], "inlin": [2, 59], "optim": [2, 54], "extra": [2, 59], "elimin": [2, 46, 57], "useless": 2, "argument": [2, 37, 41, 44, 46, 53, 57, 67, 71], "realiz": 2, "axiom": 2, "induct": [2, 26, 34, 40, 46, 67, 71, 72], "type": [2, 3, 4, 10, 17, 26, 28, 30, 32, 34, 35, 37, 38, 40, 44, 46, 54, 55, 57, 59, 67, 71], "ffi": 2, "avoid": 2, "conflict": 2, "exist": [2, 24, 35], "filenam": [2, 53], "addit": [2, 57, 60], "differ": [2, 44, 66], "between": [2, 55, 59, 66], "rocq": [2, 25, 51, 53, 57, 60, 71, 74, 75], "system": [2, 35], 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51, 52, 53, 54, 58, 64, 66, 67, 71], "attribut": [4, 17, 18, 29, 35, 38], "micromega": 5, "solver": [5, 7, 11, 61, 62], "arithmet": [5, 27], "goal": [5, 11, 54, 55, 57, 58, 66, 67], "over": [5, 9, 55, 57], "order": [5, 10, 58], "ring": [5, 11], "short": 5, "descript": 5, "positivstellensatz": 5, "refut": 5, "lra": 5, "decis": 5, "procedur": 5, "linear": 5, "real": [5, 17], "ration": [5, 11], "lia": 5, "integ": [5, 36, 71], "high": 5, "level": [5, 10, 29, 30, 32, 34, 55], "view": [5, 57], "cut": [5, 54], "plane": 5, "proof": [5, 8, 12, 14, 25, 31, 32, 46, 54, 57, 58, 60, 65, 66], "case": [5, 24, 40, 52, 57, 58, 67], "split": [5, 53], "nra": 5, "non": [5, 12, 34, 44, 54, 55, 58, 67, 71], "nia": 5, "psatz": 5, "zifi": 5, "pre": 5, "process": [5, 8, 54], "deriv": [6, 42, 67], "nsatz": 7, "equal": [7, 9, 27, 62, 64, 67], "integr": 7, "domain": 7, "more": 7, "about": [7, 46, 71], "asynchron": [8, 52], "parallel": 8, "annot": 8, "automat": [8, 11, 34, 41, 43, 44, 61, 67], "suggest": 8, "block": [8, 57], "error": [8, 20, 54, 55], "resili": 8, "caveat": [8, 30], "interact": [8, 35, 44, 51, 54, 55, 57], "mode": [8, 44, 52, 55, 57, 66], "limit": [8, 67], "number": [8, 54, 60, 71], "worker": 8, "elabor": 9, "syntact": [9, 54, 55], "control": [9, 35, 44, 46, 54, 57, 58, 59, 64, 66], "fixpoint": [9, 34], "lemma": [9, 27, 66], "solv": [9, 43, 54, 66], "oblig": 9, "frequent": 9, "ask": 9, "question": 9, "defin": [10, 34, 35, 37, 54, 55, 60], "rule": [10, 26, 31, 34, 38, 57, 64, 71, 75], "symbol": [10, 52, 54], "pattern": [10, 44, 46, 54, 55, 57, 58, 59, 71], "higher": 10, "hole": [10, 54], "univers": [10, 14], "polymorph": [10, 14, 34, 57], "preserv": 10, "confluenc": 10, "termin": [10, 12, 57], "compat": [10, 17, 37, 55, 57, 74], "eta": 10, "law": 10, "support": [10, 29, 52], "field": [11, 35, 37], "polynomi": 11, "equat": [11, 57], "what": 11, "doe": [11, 46], "thi": 11, "do": [11, 54], "The": [11, 26, 27, 34, 35, 44, 51, 53, 57, 71, 75], "variabl": [11, 43, 44, 46, 51, 52, 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arguments": [[2, "extra-elimination-of-useless-arguments"]], "Realizing axioms": [[2, "realizing-axioms"]], "Realizing inductive types": [[2, "realizing-inductive-types"]], "Generating FFI Code": [[2, "generating-ffi-code"]], "Avoiding conflicts with existing filenames": [[2, "avoiding-conflicts-with-existing-filenames"]], "Additional settings": [[2, "additional-settings"]], "Differences between Rocq and ML type systems": [[2, "differences-between-rocq-and-ml-type-systems"]], "Some examples": [[2, "some-examples"]], "A detailed example: Euclidean division": [[2, "a-detailed-example-euclidean-division"]], "Extraction's horror museum": [[2, "extraction-s-horror-museum"]], "Users' Contributions": [[2, "users-contributions"]], "Generalized rewriting": [[3, "generalized-rewriting"]], "Introduction to generalized rewriting": [[3, "introduction-to-generalized-rewriting"]], "Relations and morphisms": [[3, "relations-and-morphisms"]], "Example: Parametric relation": [[3, null], [3, null]], "Example: Parametric relation (continued)": [[3, null]], "Example: Morphisms": [[3, null]], "Example: Contravariant morphisms": [[3, null]], "Example: Rewriting": [[3, null]], "Adding new relations and morphisms": [[3, "adding-new-relations-and-morphisms"]], "Example": [[3, null], [3, null], [3, null], [3, null], [3, null], [3, null], [6, null], [11, null], [11, null], [11, null], [17, null], [26, null], [27, null], [30, null], [30, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [35, null], [35, null], [35, null], [35, null], [35, null], [37, null], [37, null], [40, null], [40, null], [41, null], [41, null], [41, null], [41, null], [41, null], [41, null], [42, null], [42, null], [42, null], [44, null], [44, 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relations": [[3, "rewriting-and-nonsymmetric-relations"]], "Example: Covariance and contravariance": [[3, null]], "Rewriting in ambiguous setoid contexts": [[3, "rewriting-in-ambiguous-setoid-contexts"]], "Rewriting with Type valued relations": [[3, "rewriting-with-type-valued-relations"]], "Declaring rewrite relations": [[3, "declaring-rewrite-relations"]], "Commands and tactics": [[3, "commands-and-tactics"]], "First class setoids and morphisms": [[3, "first-class-setoids-and-morphisms"]], "Example: First class setoids": [[3, null]], "Tactics enabled on user provided relations": [[3, "tactics-enabled-on-user-provided-relations"]], "Printing relations and morphisms": [[3, "printing-relations-and-morphisms"]], "Deprecated syntax and backward incompatibilities": [[3, "deprecated-syntax-and-backward-incompatibilities"]], "Extensions": [[3, "extensions"]], "Rewriting under binders": [[3, "rewriting-under-binders"], [57, "rewriting-under-binders"]], "Subrelations": [[3, "subrelations"]], "Constant unfolding during rewriting": [[3, "constant-unfolding-during-rewriting"]], "Constant unfolding during Proper-instance search": [[3, "constant-unfolding-during-proper-instance-search"]], "Strategies for rewriting": [[3, "strategies-for-rewriting"]], "Usage": [[3, "usage"], [57, "usage"], [75, "usage"]], "Definitions": [[3, "definitions"], [32, "definitions"], [57, "definitions"]], "Example: innermost and outermost": [[3, "rewrite-strat-innermost-outermost"]], "Implicit Coercions": [[4, "implicit-coercions"]], "General Presentation": [[4, "general-presentation"], [14, "general-presentation"]], "Coercion Classes": [[4, "coercion-classes"], [4, "id2"]], "Coercions": [[4, "id1"]], "Reversible Coercions": [[4, "reversible-coercions"]], "Identity Coercions": [[4, "identity-coercions"]], "Inheritance Graph": [[4, "inheritance-graph"]], "Displaying Available Coercions": [[4, "displaying-available-coercions"]], "Activating the Printing of Coercions": [[4, "activating-the-printing-of-coercions"]], "Classes as Records": [[4, "classes-as-records"]], "Coercions and Sections": [[4, "coercions-and-sections"]], "Coercions and Modules": [[4, "coercions-and-modules"]], "Examples": [[4, "examples"], [31, "examples"], [35, "examples"], [57, "examples"]], "Example: Coercion at function application": [[4, null]], "Example: Coercion to a type": [[4, null]], "Example: Coercion to a function": [[4, null]], "Example: Reversible coercions": [[4, "example-reversible-coercion"]], "Example: Reversible coercions using the reversible attribute": [[4, "example-reversible-coercion-attribute"]], "Example: Identity coercions.": [[4, "example-identity-coercion"]], "Example: Inheritance Graph": [[4, null]], "Micromega: solvers for arithmetic goals over ordered rings": [[5, "micromega-solvers-for-arithmetic-goals-over-ordered-rings"]], "Short description of the tactics": [[5, "short-description-of-the-tactics"]], "Positivstellensatz refutations": [[5, "positivstellensatz-refutations"]], "lra: a decision procedure for linear real and rational arithmetic": [[5, "lra-a-decision-procedure-for-linear-real-and-rational-arithmetic"]], "lia: a tactic for linear integer arithmetic": [[5, "lia-a-tactic-for-linear-integer-arithmetic"]], "High level view of lia": [[5, "high-level-view-of-lia"]], "Cutting plane proofs": [[5, "cutting-plane-proofs"]], "Example: Cutting plane": [[5, null]], "Case split": [[5, "case-split"]], "nra: a proof procedure for non-linear arithmetic": [[5, "nra-a-proof-procedure-for-non-linear-arithmetic"]], "nia: a proof procedure for non-linear integer arithmetic": [[5, "nia-a-proof-procedure-for-non-linear-integer-arithmetic"]], "psatz: a proof procedure for non-linear arithmetic": [[5, "psatz-a-proof-procedure-for-non-linear-arithmetic"]], "zify: pre-processing of arithmetic goals": [[5, "zify-pre-processing-of-arithmetic-goals"]], "Example: Lra": [[5, "lra-example"]], "Program derivation": [[6, "program-derivation"]], "Nsatz: a solver for equalities in integral domains": [[7, "nsatz-a-solver-for-equalities-in-integral-domains"]], "More about nsatz": [[7, "more-about-nsatz"]], "Asynchronous and Parallel Proof Processing": [[8, "asynchronous-and-parallel-proof-processing"]], "Proof annotations": [[8, "proof-annotations"]], "Automatic suggestion of proof annotations": [[8, "automatic-suggestion-of-proof-annotations"]], "Proof blocks and error resilience": [[8, "proof-blocks-and-error-resilience"]], "Caveats": [[8, "caveats"], [8, "id3"]], "Interactive mode": [[8, "interactive-mode"], [57, "interactive-mode"]], "Limiting the number of parallel workers": [[8, "limiting-the-number-of-parallel-workers"]], "Program": [[9, "program"]], "Elaborating programs": [[9, "elaborating-programs"]], "Syntactic control over equalities": [[9, "syntactic-control-over-equalities"]], "Program Definition": [[9, "program-definition"]], "Program Fixpoint": [[9, "program-fixpoint"]], "Program Lemma": [[9, "program-lemma"]], "Solving obligations": [[9, "solving-obligations"]], "Frequently Asked Questions": [[9, "frequently-asked-questions"]], "User-defined rewrite rules": [[10, "user-defined-rewrite-rules"]], "Symbols": [[10, "symbols"]], "Rewrite rules": [[10, "id1"]], "Pattern syntax": [[10, "pattern-syntax"]], "Higher-order pattern holes": [[10, "higher-order-pattern-holes"]], "Universe polymorphic rules": [[10, "universe-polymorphic-rules"]], "Rewrite rules, type preservation, confluence and termination": [[10, "rewrite-rules-type-preservation-confluence-and-termination"]], "Compatibility with the eta laws": [[10, "compatibility-with-the-eta-laws"]], "Level of support": [[10, "level-of-support"]], "ring and field: solvers for polynomial and rational equations": [[11, "ring-and-field-solvers-for-polynomial-and-rational-equations"]], "What does this tactic do?": [[11, "what-does-this-tactic-do"]], "The variables map": [[11, "the-variables-map"]], "Is it automatic?": [[11, "is-it-automatic"]], "Concrete 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[[17, "details-of-changes-in-8-8-1"]], "Details of changes in 8.8.2": [[17, "details-of-changes-in-8-8-2"]], "Version 8.7": [[17, "version-8-7"]], "Potential compatibility issues": [[17, "potential-compatibility-issues"]], "Details of changes in 8.7+beta1": [[17, "details-of-changes-in-8-7-beta1"]], "Details of changes in 8.7+beta2": [[17, "details-of-changes-in-8-7-beta2"]], "Details of changes in 8.7.0": [[17, "details-of-changes-in-8-7-0"]], "Details of changes in 8.7.1": [[17, "details-of-changes-in-8-7-1"]], "Details of changes in 8.7.2": [[17, "details-of-changes-in-8-7-2"]], "Version 8.6": [[17, "version-8-6"]], "Potential sources of incompatibilities": [[17, "potential-sources-of-incompatibilities"], [17, "id2152"], [17, "id2155"]], "Details of changes in 8.6beta1": [[17, "details-of-changes-in-8-6beta1"]], "Details of changes in 8.6": [[17, "details-of-changes-in-8-6"]], "Details of changes in 8.6.1": [[17, "details-of-changes-in-8-6-1"]], "Version 8.5": [[17, "version-8-5"]], "Details of changes in 8.5beta1": [[17, "details-of-changes-in-8-5beta1"]], "Details of changes in 8.5beta2": [[17, "details-of-changes-in-8-5beta2"]], "Details of changes in 8.5beta3": [[17, "details-of-changes-in-8-5beta3"]], "Details of changes in 8.5": [[17, "details-of-changes-in-8-5"]], "Details of changes in 8.5pl1": [[17, "details-of-changes-in-8-5pl1"]], "Details of changes in 8.5pl2": [[17, "details-of-changes-in-8-5pl2"]], "Details of changes in 8.5pl3": [[17, "details-of-changes-in-8-5pl3"]], "Version 8.4": [[17, "version-8-4"]], "Details of changes in 8.4beta": [[17, "details-of-changes-in-8-4beta"]], "Details of changes in 8.4beta2": [[17, "details-of-changes-in-8-4beta2"]], "Details of changes in 8.4": [[17, "details-of-changes-in-8-4"]], "Version 8.3": [[17, "version-8-3"]], "Details of changes": [[17, "details-of-changes"], [17, "id2158"], [24, "details-of-changes"]], "Version 8.2": [[17, "version-8-2"]], "Version 8.1": [[17, "version-8-1"]], "Details of changes in 8.1beta": [[17, "details-of-changes-in-8-1beta"]], "Details of changes in 8.1gamma": [[17, "details-of-changes-in-8-1gamma"]], "Details of changes in 8.1": [[17, "details-of-changes-in-8-1"]], "Version 8.0": [[17, "version-8-0"]], "Details of changes in 8.0beta old syntax": [[17, "details-of-changes-in-8-0beta-old-syntax"]], "Details of changes in 8.0beta new syntax": [[17, "details-of-changes-in-8-0beta-new-syntax"]], "Details of changes in 8.0": [[17, "details-of-changes-in-8-0"]], "Attribute index": [[18, "attribute-index"]], "Command index": [[19, "command-index"]], "Errors and warnings index": [[20, "errors-and-warnings-index"]], "Flags, options and tables index": [[21, "flags-options-and-tables-index"]], "Tactic index": [[22, "tactic-index"]], "General index": [[23, "general-index"]], "Early history of Coq": [[24, "early-history-of-coq"]], "Historical roots": [[24, "historical-roots"]], "Versions 1 to 5": [[24, "versions-1-to-5"]], "Version 1": [[24, "version-1"]], "Version 2": [[24, "version-2"]], "Version 3": [[24, "version-3"]], "Version 4": [[24, "version-4"]], "Version 5": [[24, "version-5"]], "Versions 6": [[24, "versions-6"]], "Version 6.1": [[24, "version-6-1"]], "Version 6.2": [[24, "version-6-2"]], "Version 6.3": [[24, "version-6-3"]], "Versions 7": [[24, "versions-7"]], "Details of changes in 7.0 and 7.1": [[24, "details-of-changes-in-7-0-and-7-1"]], "Main novelties": [[24, "main-novelties"]], "Language: new \"let-in\" construction": [[24, "language-new-let-in-construction"]], "Language: long names": [[24, "language-long-names"]], "Language: miscellaneous": [[24, "language-miscellaneous"]], "Language: Cases": [[24, "language-cases"]], "Reduction": [[24, "reduction"], [37, "reduction"], [55, "reduction"]], "New tactics": [[24, "new-tactics"]], "Changes in existing tactics": [[24, "changes-in-existing-tactics"]], "Efficiency": [[24, "efficiency"]], "Concrete syntax of constructions": [[24, "concrete-syntax-of-constructions"]], "Parsing and grammar extension": [[24, "parsing-and-grammar-extension"]], "New commands": [[24, "new-commands"]], "Changes in existing commands": [[24, "changes-in-existing-commands"]], "New user contributions": [[24, "new-user-contributions"]], "Details of changes in 7.2": [[24, "details-of-changes-in-7-2"]], "Details of changes in 7.3": [[24, "details-of-changes-in-7-3"]], "Changes in 7.3.1": [[24, "changes-in-7-3-1"]], "Details of changes in 7.4": [[24, "details-of-changes-in-7-4"]], "Introduction and Contents": [[25, "introduction-and-contents"]], "Contents": [[25, "contents"]], "Specification language": [[25, null]], "Proofs": [[25, null]], "Using the Rocq Prover": [[25, null]], "Appendix": [[25, null]], "Typing rules": [[26, "typing-rules"], [26, "id4"]], "The terms": [[26, "the-terms"]], "Subtyping rules": [[26, "subtyping-rules"]], "The Calculus of Inductive Constructions with impredicative Set": [[26, "the-calculus-of-inductive-constructions-with-impredicative-set"]], "The Coq libraries": [[27, "the-coq-libraries"]], "The prelude": [[27, "the-prelude"]], "Logic": [[27, "logic"]], "Propositional Connectives": [[27, "propositional-connectives"]], "Quantifiers": [[27, "quantifiers"]], "Equality": [[27, "equality"]], "Lemmas": [[27, "lemmas"]], "Datatypes": [[27, "datatypes"]], "Programming": [[27, "programming"]], "Specification": [[27, "specification"]], "Basic Arithmetic": [[27, "basic-arithmetic"]], "Well-founded recursion": [[27, "well-founded-recursion"]], "Users\u2019 contributions": [[27, "users-contributions"]], "Functions and assumptions": [[28, "functions-and-assumptions"]], "Binders": [[28, "binders"]], "Functions (fun) and function types (forall)": [[28, "functions-fun-and-function-types-forall"]], "Function application": [[28, "function-application"]], "Assumptions": [[28, "assumptions"]], "Example: Simple assumptions": [[28, null]], "Basic notions and conventions": [[29, "basic-notions-and-conventions"]], "Syntax and lexical conventions": [[29, "syntax-and-lexical-conventions"]], "Syntax conventions": [[29, "syntax-conventions"]], "Lexical conventions": [[29, "lexical-conventions"]], "Example: Stack overflow with nat": [[29, null]], "Essential vocabulary": [[29, "essential-vocabulary"]], "Attributes": [[29, "attributes"]], "Generic attributes": [[29, "generic-attributes"]], "Document-level attributes": [[29, "document-level-attributes"]], "Flags, Options and Tables": [[29, "flags-options-and-tables"]], "Locality attributes supported by Set and Unset": [[29, "locality-attributes-supported-by-set-and-unset"]], "Coinductive types and corecursive functions": [[30, "coinductive-types-and-corecursive-functions"]], "Coinductive types": [[30, "coinductive-types"]], "Caveat": [[30, "caveat"]], "Co-recursive functions: cofix": [[30, "co-recursive-functions-cofix"]], "Top-level definitions of corecursive functions": [[30, "top-level-definitions-of-corecursive-functions"]], "Conversion rules": [[31, "conversion-rules"]], "\u03b1-conversion": [[31, "conversion"]], "\u03b2-reduction": [[31, "reduction"]], "\u03b4-reduction": [[31, "delta-reduction-sect"]], "\u03b9-reduction": [[31, "id4"]], "\u03b6-reduction": [[31, "id6"]], "\u03b7-expansion": [[31, "expansion"]], "Example: Simple delta, fix, beta and match reductions": [[31, null]], "Proof Irrelevance": [[31, "proof-irrelevance"]], "Convertibility": [[31, "convertibility"]], "Let-in definitions": [[32, "let-in-definitions"]], "Type cast": [[32, "type-cast"]], "Top-level definitions": [[32, "top-level-definitions"]], "Assertions and proofs": [[32, "assertions-and-proofs"]], "Core language": [[33, "core-language"]], "Inductive types and recursive functions": [[34, "inductive-types-and-recursive-functions"]], "Inductive types": [[34, "inductive-types"]], "Simple inductive types": [[34, "simple-inductive-types"]], "Automatic Prop lowering": [[34, "automatic-prop-lowering"]], "Simple indexed inductive types": [[34, "simple-indexed-inductive-types"]], "Parameterized inductive types": [[34, "parameterized-inductive-types"]], "Mutually defined inductive types": [[34, "mutually-defined-inductive-types"]], "Example: Mutually defined inductive types": [[34, null]], "Recursive functions: fix": [[34, "recursive-functions-fix"]], "Top-level recursive functions": [[34, "top-level-recursive-functions"]], "Example: Mutual fixpoints": [[34, null]], "Theory of inductive definitions": [[34, "theory-of-inductive-definitions"]], "Types of inductive objects": [[34, "types-of-inductive-objects"]], "Well-formed inductive definitions": [[34, "well-formed-inductive-definitions"]], "Arity of a given sort": [[34, "arity-of-a-given-sort"]], "Arity": [[34, "arity"]], "Type of constructor": [[34, "type-of-constructor"]], "Positivity Condition": [[34, "positivity-condition"]], "Strict positivity": [[34, "strict-positivity"]], "Nested Positivity": [[34, "nested-positivity"]], "Correctness rules": [[34, "correctness-rules"]], "Example: Negative occurrence (first example)": [[34, null]], "Example: Negative occurrence (second example)": [[34, null]], "Example: Non strictly positive occurrence": [[34, null]], "Template polymorphism": [[34, "template-polymorphism"]], "Destructors": [[34, "destructors"]], "The match ... with ... end construction": [[34, "the-match-with-end-construction"]], "Fixpoint definitions": [[34, "fixpoint-definitions"]], "Typing rule": [[34, "id10"]], "Reduction rule": [[34, "reduction-rule"]], "The Module System": [[35, "the-module-system"]], "Modules and module types": [[35, "modules-and-module-types"]], "Using modules": [[35, "using-modules"]], "Example: Defining a simple module interactively": [[35, null]], "Example: Defining a simple module type interactively": [[35, "example-def-simple-module-type"]], "Example: Creating a new module that omits some items from an existing module": [[35, "example-filter-module"]], "Example: Creating a functor (a module with parameters)": [[35, null]], "Example: A module type with two sub-modules, sharing some fields": [[35, null]], "Qualified names": [[35, "qualified-names"]], "Controlling the scope of commands with locality attributes": [[35, "controlling-the-scope-of-commands-with-locality-attributes"]], "Summary of locality attributes in a module": [[35, "summary-of-locality-attributes-in-a-module"]], "Typing Modules": [[35, "typing-modules"]], "Primitive objects": [[36, "primitive-objects"]], "Primitive Integers": [[36, "primitive-integers"]], "Primitive Floats": [[36, "primitive-floats"]], "Primitive Arrays": [[36, "primitive-arrays"]], "Primitive (Byte-Based) Strings": [[36, "primitive-byte-based-strings"]], "Record types": [[37, "record-types"]], "Defining record types": [[37, "defining-record-types"]], "Example: Defining a record": [[37, null]], "Example: Reusing a field name in multiple records": [[37, null]], "Example: Using the \"as\" clause in a record definition": [[37, null]], "Example: Argument name for a record type created using Class": [[37, null]], "Constructing records": [[37, "constructing-records"]], "Example: Constructing 1/2 as a record": [[37, null]], "Accessing fields (projections)": [[37, "accessing-fields-projections"]], "Example: Accessing record fields": [[37, null]], "Example: Matching on records": [[37, null]], "Example: Accessing anonymous record fields with match": [[37, null]], "Settings for printing records": [[37, "settings-for-printing-records"]], "Primitive Projections": [[37, "primitive-projections"]], "Compatibility Constants for Projections": [[37, "compatibility-constants-for-projections"]], "Sections": [[38, "sections"], [75, "sections"]], "Using sections": [[38, "using-sections"]], "Example: Section-local declarations": [[38, "section-local-declarations"]], "Summary of locality attributes in a section": [[38, "summary-of-locality-attributes-in-a-section"]], "Typing rules used at the end of a section": [[38, "typing-rules-used-at-the-end-of-a-section"]], "Sorts": [[39, "sorts"]], "Variants and the match construct": [[40, "variants-and-the-match-construct"]], "Variants": [[40, "id1"]], "Private (matching) inductive types": [[40, "private-matching-inductive-types"]], "Definition by cases: match": [[40, "definition-by-cases-match"]], "Setting properties of a function's arguments": [[41, "setting-properties-of-a-function-s-arguments"]], "Manual declaration of implicit arguments": [[41, "manual-declaration-of-implicit-arguments"]], "Example: Multiple alternatives with implicits_alt": [[41, "example-more-implicits"]], "Automatic declaration of implicit arguments": [[41, "automatic-declaration-of-implicit-arguments"]], "Example: Default implicits": [[41, null]], "Renaming implicit arguments": [[41, "renaming-implicit-arguments"]], "Example: (continued) Renaming implicit arguments": [[41, null]], "Binding arguments to scopes": [[41, "binding-arguments-to-scopes"]], "Effects of Arguments on unfolding": [[41, "effects-of-arguments-on-unfolding"]], "Bidirectionality hints": [[41, "bidirectionality-hints"]], "Example: Bidirectionality hints": [[41, null]], "Canonical Structures": [[42, "canonical-structures"]], "Declaration of canonical structures": [[42, "declaration-of-canonical-structures"]], "Notation overloading": [[42, "notation-overloading"]], "Derived Canonical Structures": [[42, "derived-canonical-structures"]], "Hierarchy of structures": [[42, "hierarchy-of-structures"]], "Compact declaration of Canonical Structures": [[42, "compact-declaration-of-canonical-structures"]], "Existential variables": [[43, "existential-variables"]], "Inferable subterms": [[43, "inferable-subterms"]], "e* tactics that can create existential variables": [[43, "e-tactics-that-can-create-existential-variables"]], "Example: apply vs eapply": [[43, null]], "Automatic resolution of existential variables": [[43, "automatic-resolution-of-existential-variables"]], "Example: Automatic resolution of existential variables": [[43, "automatic-evar-resolution"]], "Explicit display of existential instances for pretty-printing": [[43, "explicit-display-of-existential-instances-for-pretty-printing"]], "Solving existential variables using tactics": [[43, "solving-existential-variables-using-tactics"]], "Implicit arguments": [[44, "implicit-arguments"]], "The different kinds of implicit arguments": [[44, "the-different-kinds-of-implicit-arguments"]], "Implicit arguments inferable from the knowledge of other arguments of a function": [[44, "implicit-arguments-inferable-from-the-knowledge-of-other-arguments-of-a-function"]], "Implicit arguments inferable by resolution": [[44, "implicit-arguments-inferable-by-resolution"]], "Maximal and non-maximal insertion of implicit arguments": [[44, "maximal-and-non-maximal-insertion-of-implicit-arguments"]], "Trailing Implicit Arguments": [[44, "trailing-implicit-arguments"]], "Casual use of implicit arguments": [[44, "casual-use-of-implicit-arguments"]], "Declaration of implicit arguments": [[44, "declaration-of-implicit-arguments"]], "Implicit Argument Binders": [[44, "implicit-argument-binders"]], "Mode for automatic declaration of implicit arguments": [[44, "mode-for-automatic-declaration-of-implicit-arguments"]], "Controlling strict implicit arguments": [[44, "controlling-strict-implicit-arguments"]], "Controlling contextual implicit arguments": [[44, "controlling-contextual-implicit-arguments"]], "Controlling reversible-pattern implicit arguments": [[44, "controlling-reversible-pattern-implicit-arguments"]], "Controlling the insertion of implicit arguments not followed by explicit arguments": [[44, "controlling-the-insertion-of-implicit-arguments-not-followed-by-explicit-arguments"]], "Combining manual declaration and automatic declaration": [[44, "combining-manual-declaration-and-automatic-declaration"]], "Explicit applications": [[44, "explicit-applications"]], "Example: Syntax for explicitly giving implicit arguments (continued)": [[44, null]], "Displaying implicit arguments": [[44, "displaying-implicit-arguments"]], "Displaying implicit arguments when pretty-printing": [[44, "displaying-implicit-arguments-when-pretty-printing"]], "Interaction with subtyping": [[44, "interaction-with-subtyping"]], "Deactivation of implicit arguments for parsing": [[44, "deactivation-of-implicit-arguments-for-parsing"]], "Implicit types of variables": [[44, "implicit-types-of-variables"]], "Implicit generalization": [[44, "implicit-generalization"]], "Language extensions": [[45, "language-extensions"]], "Extended pattern matching": [[46, "extended-pattern-matching"]], "Variants and extensions of match": [[46, "variants-and-extensions-of-match"]], "Multiple and nested pattern matching": [[46, "multiple-and-nested-pattern-matching"]], "Pattern-matching on boolean values: the if expression": [[46, "pattern-matching-on-boolean-values-the-if-expression"]], "Irrefutable patterns: the destructuring let variants": [[46, "irrefutable-patterns-the-destructuring-let-variants"]], "First destructuring let syntax": [[46, "first-destructuring-let-syntax"]], "Second destructuring let syntax": [[46, "second-destructuring-let-syntax"]], "Controlling pretty-printing of match expressions": [[46, "controlling-pretty-printing-of-match-expressions"]], "Printing nested patterns": [[46, "printing-nested-patterns"]], "Factorization of clauses with same right-hand side": [[46, "factorization-of-clauses-with-same-right-hand-side"]], "Use of a default clause": [[46, "use-of-a-default-clause"]], "Printing of wildcard patterns": [[46, "printing-of-wildcard-patterns"]], "Printing of the elimination predicate": [[46, "printing-of-the-elimination-predicate"]], "Printing of hidden subterms": [[46, "printing-of-hidden-subterms"]], "Printing matching on irrefutable patterns": [[46, "printing-matching-on-irrefutable-patterns"]], "Printing matching on booleans": [[46, "printing-matching-on-booleans"]], "Conventions about unused pattern-matching variables": [[46, "conventions-about-unused-pattern-matching-variables"]], "Patterns": [[46, "patterns"]], "Multiple patterns": [[46, "multiple-patterns"]], "Aliasing subpatterns": [[46, "aliasing-subpatterns"]], "Nested patterns": [[46, "nested-patterns"]], "Disjunctive patterns": [[46, "disjunctive-patterns"]], "About patterns of parametric types": [[46, "about-patterns-of-parametric-types"]], "Parameters in patterns": [[46, "parameters-in-patterns"]], "Implicit arguments in patterns": [[46, "implicit-arguments-in-patterns"]], "Matching objects of dependent types": [[46, "matching-objects-of-dependent-types"]], "Understanding dependencies in patterns": [[46, "understanding-dependencies-in-patterns"]], "When the elimination predicate must be provided": [[46, "when-the-elimination-predicate-must-be-provided"]], "Dependent pattern matching": [[46, "dependent-pattern-matching"]], "Multiple dependent pattern matching": [[46, "multiple-dependent-pattern-matching"]], "Patterns in in": [[46, "patterns-in-in"]], "Using pattern matching to write proofs": [[46, "using-pattern-matching-to-write-proofs"]], "Pattern-matching on inductive objects involving local definitions": [[46, "pattern-matching-on-inductive-objects-involving-local-definitions"]], "Pattern-matching and coercions": [[46, "pattern-matching-and-coercions"]], "When does the expansion strategy fail?": [[46, "when-does-the-expansion-strategy-fail"]], "The Rocq Prover commands": [[51, "the-rocq-prover-commands"]], "Interactive use (rocq repl)": [[51, "interactive-use-rocq-repl"]], "Batch compilation (rocq compile)": [[51, "batch-compilation-rocq-compile"]], "Example: Compiling and loading a single file": [[51, null]], "Customization at launch time": [[51, "customization-at-launch-time"]], "Command parameters": [[51, "command-parameters"]], "coqrc start up script": [[51, "coqrc-start-up-script"]], "Environment variables": [[51, "environment-variables"]], "Command line options": [[51, "command-line-options"], [75, "command-line-options"]], "Profiling": [[51, "profiling"], [55, "profiling"]], "Compiled interfaces (produced using -vos)": [[51, "compiled-interfaces-produced-using-vos"]], "Compiled libraries checker (rocqchk)": [[51, "compiled-libraries-checker-rocqchk"]], "Managing files and buffers, basic editing": [[52, "managing-files-and-buffers-basic-editing"]], "Running Coq scripts": [[52, "running-coq-scripts"]], "Asynchronous mode": [[52, "asynchronous-mode"]], "Commands and templates": [[52, "commands-and-templates"]], "Queries": [[52, "queries"]], "Compilation": [[52, "compilation"]], "Customizations": [[52, "customizations"]], "Preferences": [[52, "preferences"]], "Key bindings": [[52, "key-bindings"]], "Using Unicode symbols": [[52, "using-unicode-symbols"]], "Displaying Unicode symbols": [[52, "displaying-unicode-symbols"]], "Bindings for input of Unicode symbols": [[52, "bindings-for-input-of-unicode-symbols"]], "Adding custom bindings": [[52, "adding-custom-bindings"]], "Character encoding for saved files": [[52, "character-encoding-for-saved-files"]], "Debugger": [[52, "debugger"]], "Breakpoints": [[52, "breakpoints"]], "Call Stack and Variables": [[52, "call-stack-and-variables"]], "Supported use cases": [[52, "supported-use-cases"]], "Building Rocq Projects": [[53, "building-rocq-projects"]], "Rocq configuration basics": [[53, "rocq-configuration-basics"]], "Installing the Rocq Prover and Rocq packages with opam": [[53, "installing-the-rocq-prover-and-rocq-packages-with-opam"]], "Setup for working on your own projects": [[53, "setup-for-working-on-your-own-projects"]], "Building a project with _CoqProject (overview)": [[53, "building-a-project-with-coqproject-overview"]], "Logical paths and the load path": [[53, "logical-paths-and-the-load-path"]], "Modifying multiple interdependent projects at the same time": [[53, "modifying-multiple-interdependent-projects-at-the-same-time"]], "Installed and uninstalled packages": [[53, "installed-and-uninstalled-packages"]], "Upgrading to a new version of Rocq": [[53, "upgrading-to-a-new-version-of-rocq"]], "Building a Rocq project with rocq makefile (details)": [[53, "building-a-rocq-project-with-rocq-makefile-details"]], "Comments": [[53, "comments"]], "Quoting arguments to rocq c": [[53, "quoting-arguments-to-rocq-c"]], "Forbidden filenames": [[53, "forbidden-filenames"]], "Warning: No common logical root": [[53, "warning-no-common-logical-root"]], "CoqMakefile.local": [[53, "coqmakefile-local"]], "CoqMakefile.local-late": [[53, "coqmakefile-local-late"]], "Timing targets and performance testing": [[53, "timing-targets-and-performance-testing"]], "Building a subset of the targets with -j": [[53, "building-a-subset-of-the-targets-with-j"]], "Precompiling for native_compute": [[53, "precompiling-for-native-compute"]], "The grammar of _CoqProject": [[53, "the-grammar-of-coqproject"]], "Building a Rocq project with Dune": [[53, "building-a-rocq-project-with-dune"]], "rocq dep: Computing Module dependencies": [[53, "rocq-dep-computing-module-dependencies"]], "Split compilation of native computation files": [[53, "split-compilation-of-native-computation-files"]], "Using Rocq as a library": [[53, "using-rocq-as-a-library"]], "Embedded Rocq phrases inside LaTeX documents": [[53, "embedded-rocq-phrases-inside-latex-documents"]], "Man pages": [[53, "man-pages"]], "Ltac": [[54, "ltac"]], "Example: Basic tactic macros": [[54, null]], "Defects": [[54, "defects"]], "Syntax": [[54, "syntax"], [55, "syntax"], [57, "syntax"], [71, "syntax"]], "Values": [[54, "values"]], "Syntactic values": [[54, "syntactic-values"]], "Substitution": [[54, "substitution"]], "Example: Substitution of global and local symbols": [[54, null]], "Local definitions: let": [[54, "local-definitions-let"]], "Function construction and application": [[54, "function-construction-and-application"]], "Tactics in terms": [[54, "tactics-in-terms"]], "Goal selectors": [[54, "goal-selectors"]], "Example: Selector reordering goals": [[54, "reordering-goals-ex"]], "Processing multiple goals": [[54, "processing-multiple-goals"]], "Example: Multiple focused goals": [[54, null]], "Branching and backtracking": [[54, "branching-and-backtracking"]], "Example: Backtracking": [[54, null]], "Control flow": [[54, "control-flow"], [57, "control-flow"]], "Sequence: ;": [[54, "sequence"]], "Do loop": [[54, "do-loop"]], "Repeat loop": [[54, "repeat-loop"]], "Catching errors: try": [[54, "catching-errors-try"]], "Conditional branching: tryif": [[54, "conditional-branching-tryif"]], "Alternatives": [[54, "alternatives"]], "Branching with backtracking: +": [[54, "branching-with-backtracking"]], "Example: Backtracking branching with +": [[54, null]], "Local application of tactics: [> ... ]": [[54, "local-application-of-tactics"]], "First tactic to succeed": [[54, "first-tactic-to-succeed"]], "Example: Backtracking inside a non-backtracking construct": [[54, null]], "Example: Referring to a list of tactics in Tactic Notation": [[54, null]], "Solving": [[54, "solving"]], "First tactic to make progress: ||": [[54, "first-tactic-to-make-progress"]], "Detecting progress": [[54, "detecting-progress"]], "Success and failure": [[54, "success-and-failure"]], "Checking for success: assert_succeeds": [[54, "checking-for-success-assert-succeeds"]], "Checking for failure: assert_fails": [[54, "checking-for-failure-assert-fails"]], "Failing": [[54, "failing"]], "Soft cut: once": [[54, "soft-cut-once"]], "Checking for a single success: exactly_once": [[54, "checking-for-a-single-success-exactly-once"]], "Manipulating values": [[54, "manipulating-values"]], "Pattern matching on terms: match": [[54, "pattern-matching-on-terms-match"]], "Example: Comparison of lazymatch and match": [[54, null]], "Example: Comparison of match and multimatch": [[54, null]], "Example: Matching a pattern with holes": [[54, null]], "Example: Multiple matches for a \"context\" pattern.": [[54, null]], "Pattern matching on goals and hypotheses: match goal": [[54, "pattern-matching-on-goals-and-hypotheses-match-goal"]], "Example: Matching hypotheses": [[54, null]], "Example: Matching hypotheses with reverse": [[54, null], [55, "ltac2-match-goal-hyps-rev-ex"]], "Example: Multiple ways to match hypotheses": [[54, null]], "Filling a term context": [[54, "filling-a-term-context"]], "Example: Substituting a matched context": [[54, null]], "Generating fresh hypothesis names": [[54, "generating-fresh-hypothesis-names"]], "Computing in a term: eval": [[54, "computing-in-a-term-eval"]], "Getting the type of a term": [[54, "getting-the-type-of-a-term"]], "Manipulating untyped terms: type_term": [[54, "manipulating-untyped-terms-type-term"]], "Counting goals: numgoals": [[54, "counting-goals-numgoals"]], "Testing boolean expressions: guard": [[54, "testing-boolean-expressions-guard"]], "Example: guard": [[54, null]], "Checking properties of terms": [[54, "checking-properties-of-terms"]], "Example: is_fix": [[54, null]], "Example: is_cofix": [[54, null]], "Example: is_proj": [[54, null]], "Timing": [[54, "timing"]], "Timeout": [[54, "timeout"]], "Timing a tactic": [[54, "timing-a-tactic"]], "Timing a tactic that evaluates to a term: time_constr": [[54, "timing-a-tactic-that-evaluates-to-a-term-time-constr"]], "Print/identity tactic: idtac": [[54, "print-identity-tactic-idtac"]], "Tactic toplevel definitions": [[54, "tactic-toplevel-definitions"]], "Defining Ltac symbols": [[54, "defining-ltac-symbols"]], "Printing Ltac tactics": [[54, "printing-ltac-tactics"]], "Examples of using Ltac": [[54, "examples-of-using-ltac"]], "Proof that the natural numbers have at least two elements": [[54, "proof-that-the-natural-numbers-have-at-least-two-elements"]], "Example: Proof that the natural numbers have at least two elements": [[54, null]], "Proving that a list is a permutation of a second list": [[54, "proving-that-a-list-is-a-permutation-of-a-second-list"]], "Example: Proving that a list is a permutation of a second list": [[54, null]], "Deciding intuitionistic propositional logic": [[54, "deciding-intuitionistic-propositional-logic"]], "Deciding type isomorphisms": [[54, "deciding-type-isomorphisms"]], "Debugging Ltac tactics": [[54, "debugging-ltac-tactics"]], "Backtraces": [[54, "backtraces"]], "Tracing execution": [[54, "tracing-execution"]], "Interactive debugger": [[54, "interactive-debugger"]], "Profiling Ltac tactics": [[54, "profiling-ltac-tactics"]], "Run-time optimization tactic": [[54, "run-time-optimization-tactic"]], "Ltac2": [[55, "ltac2"]], "General design": [[55, "general-design"]], "ML component": [[55, "ml-component"]], "Overview": [[55, "overview"], [55, "id3"]], "Type Syntax": [[55, "type-syntax"]], "Type declarations": [[55, "type-declarations"]], "APIs": [[55, "apis"]], "Term Syntax": [[55, "term-syntax"]], "Ltac2 Definitions": [[55, "ltac2-definitions"]], "Example: Dynamic nature of mutable cells": [[55, null]], "Example: Interaction with recursive calls": [[55, null]], "Printing Ltac2 tactics": [[55, "printing-ltac2-tactics"]], "Typing": [[55, "typing"]], "Effects": [[55, "effects"]], "Standard IO": [[55, "standard-io"]], "Fatal errors": [[55, "fatal-errors"]], "Backtracking": [[55, "backtracking"], [59, "backtracking"]], "Goals": [[55, "goals"]], "Meta-programming": [[55, "meta-programming"]], "Quotations": [[55, "quotations"]], "Built-in quotations": [[55, "built-in-quotations"]], "Strict vs. non-strict mode": [[55, "strict-vs-non-strict-mode"]], "Term Antiquotations": [[55, "term-antiquotations"]], "Semantics": [[55, "semantics"]], "Static semantics": [[55, "static-semantics"]], "Dynamic semantics": [[55, "dynamic-semantics"]], "Match over terms": [[55, "match-over-terms"]], "Example: Ltac2 Comparison of lazy_match! and match!": [[55, "ltac2-match-vs-lazymatch-ex"]], "Example: Ltac2 Comparison of match! and multi_match!": [[55, "ltac2-match-vs-multimatch-ex"]], "Example: Ltac2 Multiple matches for a \"context\" pattern.": [[55, "ltac2-match-term-context-ex"]], "Match over goals": [[55, "match-over-goals"]], "Example: Ltac2 Matching hypotheses": [[55, "ltac2-match-goal-hyps-ex"]], "Example: Multiple ways to match a hypotheses": [[55, "ltac2-match-goal-multiple-hyps-ex"]], "Match on values": [[55, "match-on-values"]], "Example: Printing a term": [[55, null]], "Example: Parsing a list of terms": [[55, null]], "Abbreviations": [[55, "abbreviations"], [57, "abbreviations"], [71, "abbreviations"]], "Defining tactics": [[55, "defining-tactics"]], "Syntactic classes": [[55, "syntactic-classes"]], "Evaluation": [[55, "evaluation"]], "Debug": [[55, "debug"]], "Compatibility layer with Ltac1": [[55, "compatibility-layer-with-ltac1"]], "Ltac1 from Ltac2": [[55, "ltac1-from-ltac2"]], "Simple API": [[55, "simple-api"]], "Low-level API": [[55, "low-level-api"]], "Ltac2 from Ltac1": [[55, "ltac2-from-ltac1"]], "Switching between Ltac languages": [[55, "switching-between-ltac-languages"]], "Transition from Ltac1": [[55, "transition-from-ltac1"]], "Syntax changes": [[55, "syntax-changes"]], "Tactic delay": [[55, "tactic-delay"]], "Variable binding": [[55, "variable-binding"]], "In Ltac expressions": [[55, "in-ltac-expressions"]], "In quotations": [[55, "in-quotations"]], "Exception catching": [[55, "exception-catching"]], "The SSReflect proof language": [[57, "the-ssr-proof-language"]], "Introduction": [[57, "introduction"]], "Acknowledgments": [[57, "acknowledgments"]], "Getting started": [[57, "getting-started"]], "Compatibility issues": [[57, "compatibility-issues"]], "Gallina extensions": [[57, "gallina-extensions"]], "Pattern assignment": [[57, "pattern-assignment"]], "Pattern conditional": [[57, "pattern-conditional"]], "Parametric polymorphism": [[57, "parametric-polymorphism"]], "Anonymous arguments": [[57, "anonymous-arguments"]], "Wildcards": [[57, "wildcards"]], "Matching": [[57, "matching"]], "Occurrence selection": [[57, "occurrence-selection"]], "Basic localization": [[57, "basic-localization"]], "Basic tactics": [[57, "basic-tactics"]], "Bookkeeping": [[57, "bookkeeping"]], "The defective tactics": [[57, "the-defective-tactics"]], "The move tactic.": [[57, "the-move-tactic"]], "The case tactic": [[57, "the-case-tactic"]], "The elim tactic": [[57, "the-elim-tactic"]], "The apply tactic": [[57, "the-apply-tactic"]], "Discharge": [[57, "discharge"]], "Clear rules": [[57, "clear-rules"]], "Matching for apply and exact": [[57, "matching-for-apply-and-exact"]], "The abstract tactic": [[57, "the-abstract-tactic"]], "Introduction in the context": [[57, "introduction-in-the-context"]], "Simplification items": [[57, "simplification-items"]], "Views": [[57, "views"]], "Intro patterns": [[57, "intro-patterns"], [58, "intro-patterns"]], "Clear switch": [[57, "clear-switch"]], "Branching and destructuring": [[57, "branching-and-destructuring"]], "Block introduction": [[57, "block-introduction"]], "Generation of equations": [[57, "generation-of-equations"]], "Type families": [[57, "type-families"]], "Indentation and bullets": [[57, "indentation-and-bullets"]], "Terminators": [[57, "terminators"]], "Selectors": [[57, "selectors"]], "Iteration": [[57, "iteration"]], "Localization": [[57, "localization"]], "Structure": [[57, "structure"]], "The have tactic.": [[57, "the-have-tactic"]], "Generating let in context entries with have": [[57, "generating-let-in-context-entries-with-have"]], "The have tactic and typeclass resolution": [[57, "the-have-tactic-and-typeclass-resolution"]], "Variants: the suff and wlog tactics": [[57, "variants-the-suff-and-wlog-tactics"]], "Advanced generalization": [[57, "advanced-generalization"]], "Rewriting": [[57, "rewriting"]], "An extended rewrite tactic": [[57, "an-extended-rewrite-tactic"]], "Remarks and examples": [[57, "remarks-and-examples"]], "Rewrite redex selection": [[57, "rewrite-redex-selection"]], "Chained rewrite steps": [[57, "chained-rewrite-steps"]], "Explicit redex switches are matched first": [[57, "explicit-redex-switches-are-matched-first"]], "Occurrence switches and redex switches": [[57, "occurrence-switches-and-redex-switches"]], "Occurrence selection and repetition": [[57, "occurrence-selection-and-repetition"]], "Multi-rule rewriting": [[57, "multi-rule-rewriting"]], "Wildcards vs abstractions": [[57, "wildcards-vs-abstractions"]], "When SSReflect rewrite fails on standard Rocq licit rewrite": [[57, "when-ssr-rewrite-fails-on-standard-rocq-licit-rewrite"]], "Existential metavariables and rewriting": [[57, "existential-metavariables-and-rewriting"]], "The under tactic": [[57, "the-under-tactic"]], "The over tactic": [[57, "the-over-tactic"]], "One-liner mode": [[57, "one-liner-mode"]], "Locking, unlocking": [[57, "locking-unlocking"]], "Congruence": [[57, "congruence"]], "Contextual patterns": [[57, "contextual-patterns"]], "Matching contextual patterns": [[57, "matching-contextual-patterns"]], "Contextual pattern in set and the : tactical": [[57, "contextual-pattern-in-set-and-the-tactical"]], "Contextual patterns in rewrite": [[57, "contextual-patterns-in-rewrite"]], "Patterns for recurrent contexts": [[57, "patterns-for-recurrent-contexts"]], "Views and reflection": [[57, "views-and-reflection"]], "Interpreting eliminations": [[57, "interpreting-eliminations"]], "Interpreting assumptions": [[57, "interpreting-assumptions"], [57, "id16"]], "Specializing assumptions": [[57, "specializing-assumptions"], [57, "id15"]], "Interpreting goals": [[57, "interpreting-goals"], [57, "id17"]], "Boolean reflection": [[57, "boolean-reflection"]], "The reflect predicate": [[57, "the-reflect-predicate"]], "General mechanism for interpreting goals and assumptions": [[57, "general-mechanism-for-interpreting-goals-and-assumptions"]], "Interpreting equivalences": [[57, "interpreting-equivalences"]], "Declaring new Hint Views": [[57, "declaring-new-hint-views"]], "Multiple views": [[57, "multiple-views"]], "Additional view shortcuts": [[57, "additional-view-shortcuts"]], "Synopsis and Index": [[57, "synopsis-and-index"]], "Parameters": [[57, "parameters"]], "Items and switches": [[57, "items-and-switches"]], "Tacticals": [[57, "tacticals"]], "Common elements of tactics": [[58, "common-elements-of-tactics"]], "Reserved keywords": [[58, "reserved-keywords"]], "Invocation of tactics": [[58, "invocation-of-tactics"]], "Bindings": [[58, "bindings"]], "Example: intro pattern for /\\": [[58, null]], "Example: intro pattern for \\/": [[58, null]], "Example: -> intro pattern": [[58, null]], "Example: [=] intro pattern": [[58, null]], "Example: (A & B & \u2026) intro pattern": [[58, null]], "Example: * intro pattern": [[58, null]], "Example: ** pattern (\"intros **\" is equivalent to \"intros\")": [[58, null]], "Example: compound intro pattern": [[58, null]], "Example: combined intro pattern using [=] -> and %": [[58, null]], "Occurrence clauses": [[58, "occurrence-clauses"]], "Applying theorems": [[58, "applying-theorems"]], "Example: Backward reasoning in the goal with apply": [[58, "apply-backward"]], "Example: Backward reasoning in the goal with apply including a premise": [[58, "apply-backward-w-premises"]], "Example: Forward reasoning in hypotheses with apply": [[58, "apply-forward"]], "Example: Apply a theorem with a binding in a goal": [[58, "apply-with-binding-goal"]], "Example: Apply a theorem with a binding in a hypothesis": [[58, "apply-with-binding-hyp"]], "Example: Applying theorems with <->": [[58, "apply-with-iff"]], "Example: Special case of second-order unification in apply": [[58, "example-apply-pattern"]], "Managing the local context": [[58, "managing-the-local-context"]], "Example: intro and intros": [[58, "intro-examples"]], "Example: intros until": [[58, null]], "Example: move": [[58, null]], "Example: set with a simple_binder": [[58, null]], "Controlling the proof flow": [[58, "controlling-the-proof-flow"]], "Example: partial application in specialize": [[58, null]], "Example: specialize with a non-dependent product": [[58, null]], "Example: contradiction tactic": [[58, null]], "Classical tactics": [[58, "classical-tactics"]], "Performance-oriented tactic variants": [[58, "performance-oriented-tactic-variants"]], "Displaying": [[59, "displaying"]], "Query commands": [[59, "query-commands"]], "Example: Searching for a pattern": [[59, "search-pattern"]], "Example: Searching for part of an identifier": [[59, "search-part-ident"]], "Example: Searching for a reference by notation": [[59, "search-by-notation"]], "Example: Disambiguating between part of identifier and notation": [[59, "search-disambiguate-notation"]], "Example: Search in hypotheses": [[59, "search-hyp"]], "Example: Search in conclusion": [[59, "search-concl"]], "Example: Search by keyword or status": [[59, "search-by-keyword"]], "Example: SearchPattern examples": [[59, null]], "Example: SearchRewrite examples": [[59, null]], "Requests to the environment": [[59, "requests-to-the-environment"]], "Example: Locate examples": [[59, null]], "Printing flags": [[59, "printing-flags"]], "Loading files": [[59, "loading-files"]], "Compiled files": [[59, "compiled-files"]], "Load paths": [[59, "load-paths"]], "Extra Dependencies": [[59, "extra-dependencies"]], "Quitting and debugging": [[59, "quitting-and-debugging"]], "Controlling display": [[59, "controlling-display"]], "Printing constructions in full": [[59, "printing-constructions-in-full"]], "Controlling Typing Flags": [[59, "controlling-typing-flags"]], "Internal registration commands": [[59, "internal-registration-commands"]], "Exposing constants to OCaml libraries": [[59, "exposing-constants-to-ocaml-libraries"]], "Inlining hints for the fast reduction machines": [[59, "inlining-hints-for-the-fast-reduction-machines"]], "Registering primitive operations": [[59, "registering-primitive-operations"]], "Programmable proof search": [[60, "programmable-proof-search"]], "Example: Ackermann function": [[60, null]], "Example: MacCarthy function": [[60, null]], "Hint databases": [[60, "hint-databases"]], "Creating hint databases": [[60, "creating-hint-databases"]], "Hint databases defined in the Rocq standard library": [[60, "hint-databases-defined-in-the-rocq-standard-library"]], "Creating Hints": [[60, "creating-hints"]], "Example: Logic programming with addition on natural numbers": [[60, null]], "Hint locality": [[60, "hint-locality"]], "Setting implicit automation tactics": [[60, "setting-implicit-automation-tactics"]], "Automatic solvers and programmable tactics": [[61, "automatic-solvers-and-programmable-tactics"]], "Solvers for logic and equality": [[62, "solvers-for-logic-and-equality"]], "Creating new tactics": [[63, "creating-new-tactics"]], "Reasoning with equalities": [[64, "reasoning-with-equalities"]], "Tactics for simple equalities": [[64, "tactics-for-simple-equalities"]], "Rewriting with Leibniz and setoid equality": [[64, "rewriting-with-leibniz-and-setoid-equality"]], "Rewriting with definitional equality": [[64, "rewriting-with-definitional-equality"]], "Applying conversion rules": [[64, "applying-conversion-rules"]], "Example: fold doesn't always undo unfold": [[64, null]], "Example: Use fold to reverse unfolding of fold_right": [[64, null]], "Fast reduction tactics: vm_compute and native_compute": [[64, "fast-reduction-tactics-vm-compute-and-native-compute"]], "Computing in a term: eval and Eval": [[64, "computing-in-a-term-eval-and-eval"]], "Controlling reduction strategies and the conversion algorithm": [[64, "controlling-reduction-strategies-and-the-conversion-algorithm"]], "Basic proof writing": [[65, "basic-proof-writing"]], "Proof mode": [[66, "proof-mode"]], "Proof State": [[66, "proof-state"]], "Entering and exiting proof mode": [[66, "entering-and-exiting-proof-mode"]], "Example: Declaring section variables": [[66, null]], "Proof using options": [[66, "proof-using-options"]], "Name a set of section hypotheses for Proof using": [[66, "name-a-set-of-section-hypotheses-for-proof-using"]], "Proof modes": [[66, "proof-modes"]], "Managing goals": [[66, "managing-goals"]], "Focusing goals": [[66, "focusing-goals"]], "Curly braces": [[66, "curly-braces"]], "Example: Working with named goals": [[66, null]], "Bullets": [[66, "bullets"]], "Example: Use of bullets": [[66, null]], "Other focusing commands": [[66, "other-focusing-commands"]], "Shelving goals": [[66, "shelving-goals"]], "Example: shelve_unifiable": [[66, null]], "Reordering goals": [[66, "reordering-goals"]], "Example: cycle": [[66, null]], "Example: swap": [[66, null]], "Example: revgoals": [[66, null]], "Proving a subgoal as a separate lemma: abstract": [[66, "proving-a-subgoal-as-a-separate-lemma-abstract"]], "Requesting information": [[66, "requesting-information"]], "Showing differences between proof steps": [[66, "showing-differences-between-proof-steps"]], "How to enable diffs": [[66, "how-to-enable-diffs"]], "How diffs are calculated": [[66, "how-diffs-are-calculated"]], "\"Show Proof\" differences": [[66, "show-proof-differences"]], "Delaying solving unification constraints": [[66, "delaying-solving-unification-constraints"]], "Proof maintenance": [[66, "proof-maintenance"]], "Controlling proof mode": [[66, "controlling-proof-mode"]], "Controlling memory usage": [[66, "controlling-memory-usage"]], "Reasoning with inductive types": [[67, "reasoning-with-inductive-types"]], "Applying constructors": [[67, "applying-constructors"]], "Example: constructor, left and right": [[67, null]], "Case analysis": [[67, "case-analysis"]], "Example: Using destruct on an argument with premises": [[67, "example-destruct-ind-concl"]], "Induction": [[67, "induction"]], "Example: induction with occurrences": [[67, null]], "Equality of inductive types": [[67, "equality-of-inductive-types"]], "Example: Proving 1 <> 2": [[67, null]], "Example: discriminate limitation: proving n <> S n": [[67, null]], "Example: inversion with as or_and_intropattern": [[67, null]], "Example: Non-dependent inversion": [[67, null]], "Example: Dependent inversion": [[67, null]], "Example: Using inversion_sigma": [[67, null]], "Helper tactics": [[67, "helper-tactics"]], "Example: Using decide to rewrite the goal": [[67, null]], "Generation of induction principles with Scheme": [[67, "generation-of-induction-principles-with-scheme"]], "Example: Induction scheme for tree and forest": [[67, null]], "Example: Predicates odd and even on naturals": [[67, null]], "Example: Scheme commands with various scheme_types": [[67, null]], "Automatic declaration of schemes": [[67, "automatic-declaration-of-schemes"]], "Combined Scheme": [[67, "combined-scheme"]], "Generation of inversion principles with Derive Inversion": [[67, "generation-of-inversion-principles-with-derive-inversion"]], "Examples of dependent destruction / dependent induction": [[67, "examples-of-dependent-destruction-dependent-induction"]], "A larger example": [[67, "a-larger-example"]], "Glossary index": [[69, "glossary-index"]], "Syntax extensions and notation scopes": [[71, "syntax-extensions-and-notation-scopes"]], "Basic notations": [[71, "basic-notations"]], "Precedences and associativity": [[71, "precedences-and-associativity"]], "Complex notations": [[71, "complex-notations"]], "Simple factorization rules": [[71, "simple-factorization-rules"]], "Use of notations for printing": [[71, "use-of-notations-for-printing"]], "The Infix command": [[71, "the-infix-command"]], "Reserving notations": [[71, "reserving-notations"]], "Simultaneous definition of terms and notations": [[71, "simultaneous-definition-of-terms-and-notations"]], "Enabling and disabling notations": [[71, "enabling-and-disabling-notations"]], "Example: Enabling and disabling notations": [[71, null]], "Displaying information about notations": [[71, "displaying-information-about-notations"]], "Example: Print Notation": [[71, null]], "Locating notations": [[71, "locating-notations"]], "Inheritance of the properties of arguments of constants bound to a notation": [[71, "inheritance-of-the-properties-of-arguments-of-constants-bound-to-a-notation"]], "Notations and binders": [[71, "notations-and-binders"]], "Binders bound in the notation and parsed as identifiers": [[71, "binders-bound-in-the-notation-and-parsed-as-identifiers"]], "Binders bound in the notation and parsed as patterns": [[71, "binders-bound-in-the-notation-and-parsed-as-patterns"]], "Binders bound in the notation and parsed as terms": [[71, "binders-bound-in-the-notation-and-parsed-as-terms"]], "Binders bound in the notation and parsed as general binders": [[71, "binders-bound-in-the-notation-and-parsed-as-general-binders"]], "Binders not bound in the notation": [[71, "binders-not-bound-in-the-notation"]], "Notations with expressions used both as binder and term": [[71, "notations-with-expressions-used-both-as-binder-and-term"]], "Notations with recursive patterns": [[71, "notations-with-recursive-patterns"]], "Notations with recursive patterns involving binders": [[71, "notations-with-recursive-patterns-involving-binders"]], "Predefined entries": [[71, "predefined-entries"]], "Custom entries": [[71, "custom-entries"]], "Notation scopes": [[71, "notation-scopes"]], "Global interpretation rules for notations": [[71, "global-interpretation-rules-for-notations"]], "Local interpretation rules for notations": [[71, "local-interpretation-rules-for-notations"]], "Opening a notation scope locally": [[71, "opening-a-notation-scope-locally"]], "Binding types or coercion classes to notation scopes": [[71, "binding-types-or-coercion-classes-to-notation-scopes"]], "Example: Binding scopes to a type": [[71, null]], "The type_scope notation scope": [[71, "the-type-scope-notation-scope"]], "The function_scope notation scope": [[71, "the-function-scope-notation-scope"]], "Notation scopes used in the standard library of Rocq": [[71, "notation-scopes-used-in-the-standard-library-of-rocq"]], "Displaying information about scopes": [[71, "displaying-information-about-scopes"]], "Numbers and strings": [[71, "numbers-and-strings"]], "Number notations": [[71, "number-notations"]], "String notations": [[71, "string-notations"]], "Example: Number Notation for radix 3": [[71, null]], "Example: Number Notation for primitive integers": [[71, "example-number-notation-primitive-int"]], "Example: Number Notation for a non-inductive type": [[71, "example-number-notation-non-inductive"]], "Example: Number Notation with implicit arguments": [[71, "example-number-notation-implicit-args"]], "Example: String Notation with a parameterized inductive type": [[71, "example-string-notation-parameterized-inductive"]], "Tactic Notations": [[71, "tactic-notations"]], "Functional induction": [[72, "functional-induction"]], "Advanced recursive functions": [[72, "advanced-recursive-functions"]], "Generation of induction principles with Functional Scheme": [[72, "generation-of-induction-principles-with-functional-scheme"]], "Libraries and plugins": [[73, "libraries-and-plugins"]], "Writing Rocq libraries and plugins": [[74, "writing-rocq-libraries-and-plugins"]], "Deprecating library objects, tactics or library files": [[74, "deprecating-library-objects-tactics-or-library-files"]], "Triggering warning for library objects or library files": [[74, "triggering-warning-for-library-objects-or-library-files"]], "Example: Deprecating a tactic.": [[74, null]], "Example: Introducing a compatibility alias": [[74, "compatibility-alias"]], "Documenting Rocq files with rocq doc": [[75, "documenting-rocq-files-with-rocq-doc"]], "Principles": [[75, "principles"]], "Rocq material inside documentation.": [[75, "rocq-material-inside-documentation"]], "Pretty-printing.": [[75, "pretty-printing"]], "Lists.": [[75, "lists"]], "Rules.": [[75, "rules"]], "Emphasis.": [[75, "emphasis"]], "Escaping to LaTeX and HTML.": [[75, "escaping-to-latex-and-html"]], "Verbatim": [[75, "verbatim"]], "Hyperlinks": [[75, "hyperlinks"]], "Hiding / Showing parts of the source": [[75, "hiding-showing-parts-of-the-source"]], "The rocq doc LaTeX style file": [[75, "the-rocq-doc-latex-style-file"]], "Command-line and graphical tools": [[76, "command-line-and-graphical-tools"]], "Bibliography": [[77, "bibliography"]]}, "indexentries": {"cd (command)": [[2, "coq:cmd.Cd"]], "extract callback (command)": [[2, "coq:cmd.Extract-Callback"]], "extract callback is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction"]], "extract constant (command)": [[2, "coq:cmd.Extract-Constant"]], "extract foreign constant (command)": [[2, "coq:cmd.Extract-Foreign-Constant"]], "extract foreign constant is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction"]], "extract foreign constant is supported only for functions (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions"]], "extract inductive (command)": [[2, "coq:cmd.Extract-Inductive"]], "extract inlined constant (command)": [[2, "coq:cmd.Extract-Inlined-Constant"]], "extraction (command)": [[2, "coq:cmd.Extraction"]], "extraction autoinline (flag)": [[2, "coq:flag.Extraction-AutoInline"]], "extraction blacklist (command)": [[2, "coq:cmd.Extraction-Blacklist"]], "extraction conservative types (flag)": [[2, "coq:flag.Extraction-Conservative-Types"]], "extraction file comment (option)": [[2, "coq:opt.Extraction-File-Comment"]], "extraction flag (option)": [[2, "coq:opt.Extraction-Flag"]], "extraction implicit (command)": [[2, "coq:cmd.Extraction-Implicit"]], "extraction inline (command)": [[2, "coq:cmd.Extraction-Inline"]], "extraction keepsingleton (flag)": [[2, "coq:flag.Extraction-KeepSingleton"]], "extraction language (command)": [[2, "coq:cmd.Extraction-Language"]], "extraction library (command)": [[2, "coq:cmd.Extraction-Library"]], "extraction noinline (command)": [[2, "coq:cmd.Extraction-NoInline"]], "extraction optimize (flag)": [[2, "coq:flag.Extraction-Optimize"]], "extraction output directory (option)": [[2, "coq:opt.Extraction-Output-Directory"]], "extraction safeimplicits (flag)": [[2, "coq:flag.Extraction-SafeImplicits"]], "extraction testcompile (command)": [[2, "coq:cmd.Extraction-TestCompile"]], "extraction typeexpand (flag)": [[2, "coq:flag.Extraction-TypeExpand"]], "print extraction blacklist (command)": [[2, "coq:cmd.Print-Extraction-Blacklist"]], "print extraction callback (command)": [[2, "coq:cmd.Print-Extraction-Callback"]], "print extraction foreign (command)": [[2, "coq:cmd.Print-Extraction-Foreign"]], "print extraction inline (command)": [[2, "coq:cmd.Print-Extraction-Inline"]], "pwd (command)": [[2, "coq:cmd.Pwd"]], "recursive extraction (command)": [[2, "coq:cmd.Recursive-Extraction"]], "recursive extraction library (command)": [[2, "coq:cmd.Recursive-Extraction-Library"]], "reset extraction blacklist (command)": [[2, "coq:cmd.Reset-Extraction-Blacklist"]], "reset extraction callback (command)": [[2, "coq:cmd.Reset-Extraction-Callback"]], "reset extraction inline (command)": [[2, "coq:cmd.Reset-Extraction-Inline"]], "separate extraction (command)": [[2, "coq:cmd.Separate-Extraction"]], "show extraction (command)": [[2, "coq:cmd.Show-Extraction"]], "the term \u2018qualid\u2019 is already defined as foreign custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant"]], "the term \u2018qualid\u2019 is already defined as inline custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant"]], "add morphism (command)": [[3, "coq:cmd.Add-Morphism"]], "add parametric morphism (command)": [[3, "coq:cmd.Add-Parametric-Morphism"]], "add parametric relation (command)": [[3, "coq:cmd.Add-Parametric-Relation"]], "add parametric setoid (command)": [[3, "coq:cmd.Add-Parametric-Setoid"]], "add relation (command)": [[3, "coq:cmd.Add-Relation"]], "add setoid (command)": [[3, "coq:cmd.Add-Setoid"]], "declare morphism (command)": [[3, "coq:cmd.Declare-Morphism"]], "no progress made (error)": [[3, "coq:exn.No-progress-made"]], "nothing to rewrite (error)": [[3, "coq:exn.Nothing-to-rewrite"]], "unable to satisfy the rewriting constraints (error)": [[3, "coq:exn.Unable-to-satisfy-the-rewriting-constraints"]], "head_of_constr (tactic)": [[3, "coq:tacn.head_of_constr"]], "rewrite_db (tactic)": [[3, "coq:tacn.rewrite_db"]], "rewrite_strat (tactic)": [[3, "coq:tacn.rewrite_strat"]], "setoid_etransitivity (tactic)": [[3, "coq:tacn.setoid_etransitivity"]], "setoid_reflexivity (tactic)": [[3, "coq:tacn.setoid_reflexivity"]], "setoid_replace (tactic)": [[3, "coq:tacn.setoid_replace"]], "setoid_rewrite (tactic)": [[3, "coq:tacn.setoid_rewrite"]], "setoid_symmetry (tactic)": [[3, "coq:tacn.setoid_symmetry"]], "setoid_transitivity (tactic)": [[3, "coq:tacn.setoid_transitivity"]], "... is not definitionally an identity function (warning)": [[4, "coq:warn....-is-not-definitionally-an-identity-function"]], ":> (coercion)": [[4, "index-0"]], "cannot find the source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019"]], "cannot find the target class (error)": [[4, "coq:exn.Cannot-find-the-target-class"]], "cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019"]], "coercion (command)": [[4, "coq:cmd.Coercion"]], "found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019 (error)": [[4, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019"]], "funclass cannot be a source class (error)": [[4, "coq:exn.Funclass-cannot-be-a-source-class"]], "identity coercion (command)": [[4, "coq:cmd.Identity-Coercion"]], "new coercion path ... is ambiguous with existing ... (warning)": [[4, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-..."]], "print classes (command)": [[4, "coq:cmd.Print-Classes"]], "print coercion paths (command)": [[4, "coq:cmd.Print-Coercion-Paths"]], "print coercions (command)": [[4, "coq:cmd.Print-Coercions"]], "print graph (command)": [[4, "coq:cmd.Print-Graph"]], "printing coercion (table)": [[4, "coq:table.Printing-Coercion"]], "printing coercions (flag)": [[4, "coq:flag.Printing-Coercions"]], "subclass (command)": [[4, "coq:cmd.SubClass"]], "nonuniform (attribute)": [[4, "coq:attr.nonuniform"]], "reversible (attribute)": [[4, "coq:attr.reversible"]], "\u2018coercion_class\u2019 must be a transparent constant (error)": [[4, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant"]], "\u2018qualid\u2019 does not respect the uniform inheritance condition (warning)": [[4, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition"]], "\u2018qualid\u2019 is already a coercion (error)": [[4, "coq:exn.\u2018qualid\u2019-is-already-a-coercion"]], "\u2018qualid\u2019 is not a function (error)": [[4, "coq:exn.\u2018qualid\u2019-is-not-a-function"]], "\u2018qualid\u2019 not declared (error)": [[4, "coq:exn.\u2018qualid\u2019-not-declared"]], "add zify (command)": [[5, "coq:cmd.Add-Zify"]], "bound on the ceiling function (theorem)": [[5, "coq:thm.Bound-on-the-ceiling-function"]], "case split (theorem)": [[5, "coq:thm.Case-split"]], "dump arith (option)": [[5, "coq:opt.Dump-Arith"]], "info micromega (flag)": [[5, "coq:flag.Info-Micromega"]], "lia cache (flag)": [[5, "coq:flag.Lia-Cache"]], "nia cache (flag)": [[5, "coq:flag.Nia-Cache"]], "nra cache (flag)": [[5, "coq:flag.Nra-Cache"]], "psatz (theorem)": [[5, "coq:thm.Psatz"]], "show lia profile (command)": [[5, "coq:cmd.Show-Lia-Profile"]], "show zify (command)": [[5, "coq:cmd.Show-Zify"]], "lia (tactic)": [[5, "coq:tacn.lia"]], "lra (tactic)": [[5, "coq:tacn.lra"]], "nia (tactic)": [[5, "coq:tacn.nia"]], "nra (tactic)": [[5, "coq:tacn.nra"]], "psatz (tactic)": [[5, "coq:tacn.psatz"]], "wlia (tactic)": [[5, "coq:tacn.wlia"]], "wlra_q (tactic)": [[5, "coq:tacn.wlra_Q"]], "wnia (tactic)": [[5, "coq:tacn.wnia"]], "wnra_q (tactic)": [[5, "coq:tacn.wnra_Q"]], "wpsatz_q (tactic)": [[5, "coq:tacn.wpsatz_Q"]], "wpsatz_z (tactic)": [[5, "coq:tacn.wpsatz_Z"]], "wsos_q (tactic)": [[5, "coq:tacn.wsos_Q"]], "wsos_z (tactic)": [[5, "coq:tacn.wsos_Z"]], "xlia (tactic)": [[5, "coq:tacn.xlia"]], "xlra_q (tactic)": [[5, "coq:tacn.xlra_Q"]], "xlra_r (tactic)": [[5, "coq:tacn.xlra_R"]], "xnia (tactic)": [[5, "coq:tacn.xnia"]], "xnra_q (tactic)": [[5, "coq:tacn.xnra_Q"]], "xnra_r (tactic)": [[5, "coq:tacn.xnra_R"]], "xpsatz_q (tactic)": [[5, "coq:tacn.xpsatz_Q"]], "xpsatz_r (tactic)": [[5, "coq:tacn.xpsatz_R"]], "xpsatz_z (tactic)": [[5, "coq:tacn.xpsatz_Z"]], "xsos_q (tactic)": [[5, "coq:tacn.xsos_Q"]], "xsos_r (tactic)": [[5, "coq:tacn.xsos_R"]], "xsos_z (tactic)": [[5, "coq:tacn.xsos_Z"]], "zify (tactic)": [[5, "coq:tacn.zify"]], "zify_elim_let (tactic)": [[5, "coq:tacn.zify_elim_let"]], "zify_iter_let (tactic)": [[5, "coq:tacn.zify_iter_let"]], "zify_iter_specs (tactic)": [[5, "coq:tacn.zify_iter_specs"]], "zify_op (tactic)": [[5, "coq:tacn.zify_op"]], "zify_saturate (tactic)": [[5, "coq:tacn.zify_saturate"]], "derive (command)": [[6, "coq:cmd.Derive"]], "nsatz (tactic)": [[7, "coq:tacn.nsatz"]], "nsatz_compute (tactic)": [[7, "coq:tacn.nsatz_compute"]], "admit obligations (command)": [[9, "coq:cmd.Admit-Obligations"]], "final obligation (command)": [[9, "coq:cmd.Final-Obligation"]], "ill-formed recursive definition (error)": [[9, "coq:exn.Ill-formed-recursive-definition"]], "next obligation (command)": [[9, "coq:cmd.Next-Obligation"]], "non extensible universe declaration not supported with monomorphic program definition (error)": [[9, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition"]], "obligation (command)": [[9, "coq:cmd.Obligation"]], "obligation tactic (command)": [[9, "coq:cmd.Obligation-Tactic"]], "obligations (command)": [[9, "coq:cmd.Obligations"]], "preterm (command)": [[9, "coq:cmd.Preterm"]], "program (attribute)": [[9, "coq:attr.Program"], [9, "coq:attr.program"]], "program cases (flag)": [[9, "coq:flag.Program-Cases"]], "program generalized coercion (flag)": [[9, "coq:flag.Program-Generalized-Coercion"]], "program mode (flag)": [[9, "coq:flag.Program-Mode"]], "show obligation tactic (command)": [[9, "coq:cmd.Show-Obligation-Tactic"]], "solve all obligations (command)": [[9, "coq:cmd.Solve-All-Obligations"]], "solve obligations (command)": [[9, "coq:cmd.Solve-Obligations"]], "transparent obligations (flag)": [[9, "coq:flag.Transparent-Obligations"]], "rewrite rule (command)": [[10, "coq:cmd.Rewrite-Rule"]], "rewrite rules (command)": [[10, "coq:cmd.Rewrite-Rules"]], "rewrite rule declaration requires passing the flag \"-allow-rewrite-rules\" (error)": [[10, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\""]], "symbol (command)": [[10, "coq:cmd.Symbol"]], "symbols (command)": [[10, "coq:cmd.Symbols"]], "add field (command)": [[11, "coq:cmd.Add-Field"]], "add ring (command)": [[11, "coq:cmd.Add-Ring"]], "arguments of ring_simplify do not have all the same type (error)": [[11, "coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type"]], "bad lemma for decidability of equality (error)": [[11, "coq:exn.Bad-lemma-for-decidability-of-equality"]], "bad ring structure (error)": [[11, "coq:exn.Bad-ring-structure"]], "cannot find a declared ring structure for equality \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019"]], "cannot find a declared ring structure over \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019"]], "not a valid ring equation (error)": [[11, "coq:exn.Not-a-valid-ring-equation"]], "print fields (command)": [[11, "coq:cmd.Print-Fields"]], "print rings (command)": [[11, "coq:cmd.Print-Rings"]], "ring operation should be declared as a morphism (error)": [[11, "coq:exn.Ring-operation-should-be-declared-as-a-morphism"]], "field (tactic)": [[11, "coq:tacn.field"]], "field_lookup (tactic)": [[11, "coq:tacn.field_lookup"]], "field_simplify (tactic)": [[11, "coq:tacn.field_simplify"]], "field_simplify_eq (tactic)": [[11, "coq:tacn.field_simplify_eq"]], "protect_fv (tactic)": [[11, "coq:tacn.protect_fv"]], "ring (tactic)": [[11, "coq:tacn.ring"]], "ring_lookup (tactic)": [[11, "coq:tacn.ring_lookup"]], "ring_simplify (tactic)": [[11, "coq:tacn.ring_simplify"]], "allow strictprop (flag)": [[12, "coq:flag.Allow-StrictProp"]], "bad relevance (warning)": [[12, "coq:warn.Bad-relevance"]], "definitional uip (flag)": [[12, "coq:flag.Definitional-UIP"]], "printing relevance marks (flag)": [[12, "coq:flag.Printing-Relevance-Marks"]], "sprop is disallowed because the \"allow strictprop\" flag is off (error)": [[12, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off"]], ":: (substructure)": [[13, "index-0"]], "class (command)": [[13, "coq:cmd.Class"]], "declare instance (command)": [[13, "coq:cmd.Declare-Instance"]], "existing class (command)": [[13, "coq:cmd.Existing-Class"]], "existing instance (command)": [[13, "coq:cmd.Existing-Instance"]], "existing instances (command)": [[13, "coq:cmd.Existing-Instances"]], "ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class (warning)": [[13, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class"]], "instance (command)": [[13, "coq:cmd.Instance"]], "print instances (command)": [[13, "coq:cmd.Print-Instances"]], "print typeclasses (command)": [[13, "coq:cmd.Print-Typeclasses"]], "typeclass resolution for conversion (flag)": [[13, "coq:flag.Typeclass-Resolution-For-Conversion"]], "typeclasses debug (flag)": [[13, "coq:flag.Typeclasses-Debug"]], "typeclasses debug verbosity (option)": [[13, "coq:opt.Typeclasses-Debug-Verbosity"]], "typeclasses default mode (option)": [[13, "coq:opt.Typeclasses-Default-Mode"]], "typeclasses dependency order (flag)": [[13, "coq:flag.Typeclasses-Dependency-Order"]], "typeclasses depth (option)": [[13, "coq:opt.Typeclasses-Depth"]], "typeclasses iterative deepening (flag)": [[13, "coq:flag.Typeclasses-Iterative-Deepening"]], "typeclasses limit intros (flag)": [[13, "coq:flag.Typeclasses-Limit-Intros"]], "typeclasses opaque (command)": [[13, "coq:cmd.Typeclasses-Opaque"]], "typeclasses strict resolution (flag)": [[13, "coq:flag.Typeclasses-Strict-Resolution"]], "typeclasses transparent (command)": [[13, "coq:cmd.Typeclasses-Transparent"]], "typeclasses unique instances (flag)": [[13, "coq:flag.Typeclasses-Unique-Instances"]], "typeclasses unique solutions (flag)": [[13, "coq:flag.Typeclasses-Unique-Solutions"]], "typeclasses eauto (command)": [[13, "coq:cmd.Typeclasses-eauto"]], "using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d (warning)": [[13, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d"]], "autoapply (tactic)": [[13, "coq:tacn.autoapply"]], "mode (attribute)": [[13, "coq:attr.mode"]], "refine (attribute)": [[13, "coq:attr.refine"]], "typeclasses eauto (tactic)": [[13, "coq:tacn.typeclasses-eauto"]], "\u2018ident\u2019 is already declared as a typeclass (warning)": [[13, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass"]], "constraint (command)": [[14, "coq:cmd.Constraint"]], "cumulative (attribute)": [[14, "coq:attr.Cumulative"]], "cumulativity weak constraints (flag)": [[14, "coq:flag.Cumulativity-Weak-Constraints"]], "monomorphic (attribute)": [[14, "coq:attr.Monomorphic"]], "noncumulative (attribute)": [[14, "coq:attr.NonCumulative"]], "polymorphic (attribute)": [[14, "coq:attr.Polymorphic"]], "polymorphic inductive cumulativity (flag)": [[14, "coq:flag.Polymorphic-Inductive-Cumulativity"]], "polymorphic universe constraints can only be declared inside sections, use monomorphic constraint instead (error)": [[14, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead"]], "polymorphic universes can only be declared inside sections, use monomorphic universe instead (error)": [[14, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead"]], "print universes (command)": [[14, "coq:cmd.Print-Universes"]], "printing universes (flag)": [[14, "coq:flag.Printing-Universes"]], "private polymorphic universes (flag)": [[14, "coq:flag.Private-Polymorphic-Universes"]], "strict universe declaration (flag)": [[14, "coq:flag.Strict-Universe-Declaration"]], "the cumulative attribute can only be used in a polymorphic context (error)": [[14, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context"]], "undeclared universe \u2018ident\u2019 (error)": [[14, "coq:exn.Undeclared-universe-\u2018ident\u2019"]], "universe (command)": [[14, "coq:cmd.Universe"]], "universe minimization toset (flag)": [[14, "coq:flag.Universe-Minimization-ToSet"]], "universe polymorphism (flag)": [[14, "coq:flag.Universe-Polymorphism"]], "universe inconsistency (error)": [[14, "coq:exn.Universe-inconsistency"]], "universes (command)": [[14, "coq:cmd.Universes"]], "universes(cumulative) (attribute)": [[14, "coq:attr.universes(cumulative)"]], "universes(polymorphic) (attribute)": [[14, "coq:attr.universes(polymorphic)"]], "* (term)": [[27, "index-9"]], "+ (term)": [[27, "index-9"]], "a*b (term)": [[27, "index-9"]], "a+b (term)": [[27, "index-9"]], "a+{b} (term)": [[27, "index-13"]], "acc (term)": [[27, "index-20"]], "acc_inv (term)": [[27, "index-20"]], "acc_rect (term)": [[27, "index-20"]], "choice (term)": [[27, "index-14"]], "choice2 (term)": [[27, "index-14"]], "connectives": [[27, "index-1"]], "datatypes": [[27, "index-7"]], "equality": [[27, "index-4"]], "exc (term)": [[27, "index-15"]], "false (term)": [[27, "index-1"], [27, "index-8"]], "false_rec (term)": [[27, "index-16"]], "false_rect (term)": [[27, "index-16"]], "fix_f (term)": [[27, "index-21"]], "fix_f_eq (term)": [[27, "index-21"]], "fix_f_inv (term)": [[27, "index-21"]], "fix_eq (term)": [[27, "index-21"]], "i (term)": [[27, "index-1"]], "issucc (term)": [[27, "index-17"]], "none (term)": [[27, "index-8"]], "o (term)": [[27, "index-8"]], "o_s (term)": [[27, "index-17"]], "programming": [[27, "index-8"]], "quantifiers": [[27, "index-3"]], "recursion": [[27, "index-20"]], "s (term)": [[27, "index-8"]], "some (term)": [[27, "index-8"]], "theories": [[27, "index-0"]], "true (term)": [[27, "index-1"], [27, "index-8"]], "well founded induction": [[27, "index-20"]], "well foundedness": [[27, "index-20"]], "absurd (term)": [[27, "index-5"]], "absurd_set (term)": [[27, "index-16"]], "all (term)": [[27, "index-3"]], "and (term)": [[27, "index-1"]], "and_rect (term)": [[27, "index-16"]], "bool (term)": [[27, "index-8"]], "bool_choice (term)": [[27, "index-14"]], "conj (term)": [[27, "index-1"]], "eq (term)": [[27, "index-4"]], "eq_s (term)": [[27, "index-17"]], "eq_add_s (term)": [[27, "index-17"]], "eq_ind_r (term)": [[27, "index-5"]], "eq_rec_r (term)": [[27, "index-5"]], "eq_rect (term)": [[27, "index-16"], [27, "index-5"]], "eq_rect_r (term)": [[27, "index-5"]], "eq_refl (term)": [[27, "index-4"]], "eq_sym (term)": [[27, "index-5"]], "eq_trans (term)": [[27, "index-5"]], "error (term)": [[27, "index-15"]], "ex (term)": [[27, "index-3"]], "ex2 (term)": [[27, "index-3"]], "ex_intro (term)": [[27, "index-3"]], "ex_intro2 (term)": [[27, "index-3"]], "exist (term)": [[27, "index-10"]], "exist2 (term)": [[27, "index-10"]], "existt (term)": [[27, "index-11"]], "existt2 (term)": [[27, "index-11"]], "exists (term)": [[27, "index-3"]], "exists2 (term)": [[27, "index-3"]], "f_equal (term)": [[27, "index-5"]], "f_equal2 ... f_equal5 (term)": [[27, "index-6"]], "fst (term)": [[27, "index-9"]], "ge (term)": [[27, "index-18"]], "gt (term)": [[27, "index-18"]], "identity (term)": [[27, "index-8"]], "iff (term)": [[27, "index-1"]], "inl (term)": [[27, "index-9"]], "inleft (term)": [[27, "index-13"]], "inr (term)": [[27, "index-9"]], "inright (term)": [[27, "index-13"]], "le (term)": [[27, "index-18"]], "le_s (term)": [[27, "index-18"]], "le_n (term)": [[27, "index-18"]], "left (term)": [[27, "index-12"]], "lt (term)": [[27, "index-18"]], "mult (term)": [[27, "index-17"]], "mult_n_o (term)": [[27, "index-17"]], "mult_n_sm (term)": [[27, "index-17"]], "n_sn (term)": [[27, "index-17"]], "nat (term)": [[27, "index-8"]], "nat_case (term)": [[27, "index-19"]], "nat_double_ind (term)": [[27, "index-19"]], "not (term)": [[27, "index-1"]], "nott (term)": [[27, "index-2"]], "not_eq_s (term)": [[27, "index-17"]], "option (term)": [[27, "index-8"]], "or (term)": [[27, "index-1"]], "or_introl (term)": [[27, "index-1"]], "or_intror (term)": [[27, "index-1"]], "pair (term)": [[27, "index-9"]], "plus (term)": [[27, "index-17"]], "plus_n_o (term)": [[27, "index-17"]], "plus_n_sm (term)": [[27, "index-17"]], "pred (term)": [[27, "index-17"]], "pred_sn (term)": [[27, "index-17"]], "prod (term)": [[27, "index-9"]], "proj1 (term)": [[27, "index-1"]], "proj2 (term)": [[27, "index-1"]], "projt1 (term)": [[27, "index-11"]], "projt2 (term)": [[27, "index-11"]], "refl_identity (term)": [[27, "index-8"]], "right (term)": [[27, "index-12"]], "sig (term)": [[27, "index-10"]], "sig2 (term)": [[27, "index-10"]], "sigt (term)": [[27, "index-11"]], "sigt2 (term)": [[27, "index-11"]], "snd (term)": [[27, "index-9"]], "sum (term)": [[27, "index-9"]], "sumbool (term)": [[27, "index-12"]], "sumor (term)": [[27, "index-13"]], "sym_not_eq (term)": [[27, "index-5"]], "tt (term)": [[27, "index-8"]], "unit (term)": [[27, "index-8"]], "value (term)": [[27, "index-15"]], "well_founded (term)": [[27, "index-20"]], "{a}+{b} (term)": [[27, "index-12"]], "{x:a & p x} (term)": [[27, "index-11"]], "{x:a | p x} (term)": [[27, "index-10"]], "axiom (command)": [[28, "coq:cmd.Axiom"]], "axioms (command)": [[28, "coq:cmd.Axioms"]], "conjecture (command)": [[28, "coq:cmd.Conjecture"]], "conjectures (command)": [[28, "coq:cmd.Conjectures"]], "hypotheses (command)": [[28, "coq:cmd.Hypotheses"]], "hypothesis (command)": [[28, "coq:cmd.Hypothesis"]], "parameter (command)": [[28, "coq:cmd.Parameter"]], "parameters (command)": [[28, "coq:cmd.Parameters"]], "use of \"variable\" or \"hypothesis\" outside sections behaves as \"#[local] parameter\" or \"#[local] axiom\" (warning)": [[28, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\""]], "variable (command)": [[28, "coq:cmd.Variable"]], "variables (command)": [[28, "coq:cmd.Variables"]], "forall": [[28, "index-1"]], "fun": [[28, "index-0"]], "\u2018ident\u2019 already exists. (axiom) (error)": [[28, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)"]], "add (command)": [[29, "coq:cmd.Add"]], "attributes (command)": [[29, "coq:cmd.Attributes"]], "comments (command)": [[29, "coq:cmd.Comments"]], "print options (command)": [[29, "coq:cmd.Print-Options"]], "print table (command)": [[29, "coq:cmd.Print-Table"]], "print tables (command)": [[29, "coq:cmd.Print-Tables"]], "remove (command)": [[29, "coq:cmd.Remove"]], "set (command)": [[29, "coq:cmd.Set"]], "test (command)": [[29, "coq:cmd.Test"]], "there is no flag or option with this name: \"\u2018setting_name\u2019\" (warning)": [[29, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no flag, option or table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no qualid-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no string-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "this command does not support this attribute (warning)": [[29, "coq:warn.This-command-does-not-support-this-attribute"]], "unset (command)": [[29, "coq:cmd.Unset"]], "command": [[29, "term-command"]], "sentence": [[29, "term-sentence"]], "tactic": [[29, "term-tactic"]], "term": [[29, "term-term"]], "type": [[29, "term-type"], [39, "index-0"]], "warning (attribute)": [[29, "coq:attr.warning"]], "warnings (attribute)": [[29, "coq:attr.warnings"]], "cofixpoint (command)": [[30, "coq:cmd.CoFixpoint"]], "coinductive (command)": [[30, "coq:cmd.CoInductive"]], "cofix": [[30, "index-0"]], "... : ... (type cast)": [[32, "index-1"]], "... :> ... (volatile type cast)": [[32, "index-1"]], "... <: ... (vm type cast)": [[32, "index-1"]], "... <<: ... (native compute type cast)": [[32, "index-1"]], "corollary (command)": [[32, "coq:cmd.Corollary"]], "definition (command)": [[32, "coq:cmd.Definition"]], "example (command)": [[32, "coq:cmd.Example"]], "fact (command)": [[32, "coq:cmd.Fact"]], "lemma (command)": [[32, "coq:cmd.Lemma"]], "nested proofs are discouraged and not allowed by default. this error probably means that you forgot to close the last \"proof.\" with \"qed.\" or \"defined.\". if you really intended to use nested proofs, you can do so by turning the \"nested proofs allowed\" flag on (error)": [[32, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on"]], "property (command)": [[32, "coq:cmd.Property"]], "proposition (command)": [[32, "coq:cmd.Proposition"]], "remark (command)": [[32, "coq:cmd.Remark"]], "the term \u2018term\u2019 has type \u2018type\u2019 which should be set, prop or type (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type"]], "the term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019' (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'"]], "theorem (command)": [[32, "coq:cmd.Theorem"]], "let ... := ... (term)": [[32, "index-0"]], "\u2018ident\u2019 already exists. (definition) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)"]], "\u2018ident\u2019 already exists. (theorem) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)"]], "auto template polymorphism (flag)": [[34, "coq:flag.Auto-Template-Polymorphism"]], "automatically declaring \u2018ident\u2019 as template polymorphic (warning)": [[34, "coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic"]], "dependent proposition eliminators (flag)": [[34, "coq:flag.Dependent-Proposition-Eliminators"]], "fixpoint (command)": [[34, "coq:cmd.Fixpoint"]], "ill-formed template inductive declaration: not polymorphic on any universe (error)": [[34, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe"]], "inductive (command)": [[34, "coq:cmd.Inductive"]], "non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019 (error)": [[34, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019"]], "the conclusion of \u2018type\u2019 is not valid": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "uniform inductive parameters (flag)": [[34, "coq:flag.Uniform-Inductive-Parameters"]], "fix": [[34, "index-0"]], "it must be built from \u2018ident\u2019 (error)": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "template and polymorphism not compatible (error)": [[34, "coq:exn.template-and-polymorphism-not-compatible"]], "universes(template) (attribute)": [[34, "coq:attr.universes(template)"]], "cannot import local constant, it will be ignored (warning)": [[35, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored"]], "declare module (command)": [[35, "coq:cmd.Declare-Module"]], "export (command)": [[35, "coq:cmd.Export"]], "import (command)": [[35, "coq:cmd.Import"]], "include (command)": [[35, "coq:cmd.Include"]], "include type (command)": [[35, "coq:cmd.Include-Type"]], "module (command)": [[35, "coq:cmd.Module"]], "module type (command)": [[35, "coq:cmd.Module-Type"]], "no field named \u2018ident\u2019 in \u2018qualid\u2019 (error)": [[35, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019"]], "print module (command)": [[35, "coq:cmd.Print-Module"]], "print module type (command)": [[35, "coq:cmd.Print-Module-Type"]], "print namespace (command)": [[35, "coq:cmd.Print-Namespace"]], "short module printing (flag)": [[35, "coq:flag.Short-Module-Printing"]], "signature components for field \u2018ident\u2019 do not match (error)": [[35, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match"]], "the field \u2018ident\u2019 is missing in \u2018qualid\u2019 (error)": [[35, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019"]], "trying to mask the absolute name \u2018qualid\u2019! (warning)": [[35, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!"]], "export (attribute)": [[35, "coq:attr.export"]], "global (attribute)": [[35, "coq:attr.global"]], "local (attribute)": [[35, "coq:attr.local"]], "\u2018qualid\u2019 is not a module (error)": [[35, "coq:exn.\u2018qualid\u2019-is-not-a-module"]], "primitive projections (flag)": [[37, "coq:flag.Primitive-Projections"]], "printing constructor (table)": [[37, "coq:table.Printing-Constructor"]], "printing primitive projection parameters (flag)": [[37, "coq:flag.Printing-Primitive-Projection-Parameters"]], "printing projections (flag)": [[37, "coq:flag.Printing-Projections"]], "printing record (table)": [[37, "coq:table.Printing-Record"]], "printing records (flag)": [[37, "coq:flag.Printing-Records"]], "printing unfolded projection as match (flag)": [[37, "coq:flag.Printing-Unfolded-Projection-As-Match"]], "record (command)": [[37, "coq:cmd.Record"]], "records declared with the keyword record or structure cannot be recursive (error)": [[37, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive"]], "structure (command)": [[37, "coq:cmd.Structure"]], "projections(primitive) (attribute)": [[37, "coq:attr.projections(primitive)"]], "\u2018ident\u2019 already exists (error)": [[37, "coq:exn.\u2018ident\u2019-already-exists"]], "\u2018ident\u2019 cannot be defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined"]], "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not"]], "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined"]], "context (command)": [[38, "coq:cmd.Context"]], "end (command)": [[38, "coq:cmd.End"]], "last block to end has name \u2018ident\u2019 (error)": [[38, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019"]], "let (command)": [[38, "coq:cmd.Let"]], "let cofixpoint (command)": [[38, "coq:cmd.Let-CoFixpoint"]], "let fixpoint (command)": [[38, "coq:cmd.Let-Fixpoint"]], "section (command)": [[38, "coq:cmd.Section"]], "there is nothing to end (error)": [[38, "coq:exn.There-is-nothing-to-end"]], "clearbody (attribute)": [[38, "coq:attr.clearbody"]], "prop": [[39, "index-0"]], "sprop": [[39, "index-0"]], "set (sort)": [[39, "index-0"]], "casts are not supported in this pattern (error)": [[40, "coq:exn.Casts-are-not-supported-in-this-pattern"]], "private (attribute)": [[40, "coq:attr.Private"]], "the \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019 (error)": [[40, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019"]], "variant (command)": [[40, "coq:cmd.Variant"]], "match ... with ...": [[40, "index-0"]], "private(matching) (attribute)": [[40, "coq:attr.private(matching)"]], "arguments (command)": [[41, "coq:cmd.Arguments"]], "arguments of section variables such as \u2018name\u2019 may not be renamed (error)": [[41, "coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed"]], "flag 'rename' expected to rename \u2018name\u2019 into \u2018name\u2019 (error)": [[41, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019"]], "the & modifier may only occur once (error)": [[41, "coq:exn.The-&-modifier-may-only-occur-once"]], "the 'clear implicits' flag must be omitted if implicit annotations are given (error)": [[41, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given"]], "the 'default implicits' flag is incompatible with implicit annotations (error)": [[41, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations"]], "the / modifier may only occur once (error)": [[41, "coq:exn.The-/-modifier-may-only-occur-once"]], "this command is just asserting the names of arguments of \u2018qualid\u2019. if this is what you want, add ': assert' to silence the warning. if you want to clear implicit arguments, add ': clear implicits'. if you want to clear notation scopes, add ': clear scopes' (warning)": [[41, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'"]], "to rename arguments the 'rename' flag must be specified (error)": [[41, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified"]], "canonical structure (command)": [[42, "coq:cmd.Canonical-Structure"]], "print canonical projections (command)": [[42, "coq:cmd.Print-Canonical-Projections"]], "canonical (attribute)": [[42, "coq:attr.canonical"]], "printing existential instances (flag)": [[43, "coq:flag.Printing-Existential-Instances"]], "_": [[43, "index-0"]], "argument at position \u2018natural\u2019 is mentioned more than once (error)": [[44, "coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once"]], "argument \u2018name\u2019 is a trailing implicit, so it can't be declared non maximal. please use { } instead of [ ] (error)": [[44, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]"]], "arguments given by name or position not supported in explicit mode (error)": [[44, "coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode"]], "cannot infer a term for this placeholder. (casual use of implicit arguments) (error)": [[44, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)"]], "contextual implicit (flag)": [[44, "coq:flag.Contextual-Implicit"]], "generalizable (command)": [[44, "coq:cmd.Generalizable"]], "ignoring implicit binder declaration in unexpected position (warning)": [[44, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position"]], "implicit arguments (flag)": [[44, "coq:flag.Implicit-Arguments"]], "implicit type (command)": [[44, "coq:cmd.Implicit-Type"]], "implicit types (command)": [[44, "coq:cmd.Implicit-Types"]], "making shadowed name of implicit argument accessible by position (warning)": [[44, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position"]], "maximal implicit insertion (flag)": [[44, "coq:flag.Maximal-Implicit-Insertion"]], "not enough non implicit arguments to accept the argument bound to \u2018ident\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019"]], "not enough non implicit arguments to accept the argument bound to \u2018natural\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019"]], "parsing explicit (flag)": [[44, "coq:flag.Parsing-Explicit"]], "print implicit (command)": [[44, "coq:cmd.Print-Implicit"]], "printing implicit (flag)": [[44, "coq:flag.Printing-Implicit"]], "printing implicit defensive (flag)": [[44, "coq:flag.Printing-Implicit-Defensive"]], "printing use implicit types (flag)": [[44, "coq:flag.Printing-Use-Implicit-Types"]], "reversible pattern implicit (flag)": [[44, "coq:flag.Reversible-Pattern-Implicit"]], "strict implicit (flag)": [[44, "coq:flag.Strict-Implicit"]], "strongly strict implicit (flag)": [[44, "coq:flag.Strongly-Strict-Implicit"]], "wrong argument name (error)": [[44, "coq:exn.Wrong-argument-name"]], "wrong argument position (error)": [[44, "coq:exn.Wrong-argument-position"]], "`( )": [[44, "index-2"]], "`(! )": [[44, "index-5"]], "`[ ]": [[44, "index-1"]], "`[! ]": [[44, "index-4"]], "`{ }": [[44, "index-0"]], "`{! }": [[44, "index-3"]], "asymmetric patterns (flag)": [[46, "coq:flag.Asymmetric-Patterns"]], "either there is a type incompatibility or the problem involves dependencies (error)": [[46, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies"]], "found a constructor of inductive type term while a constructor of term is expected (error)": [[46, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected"]], "non exhaustive pattern matching (error)": [[46, "coq:exn.Non-exhaustive-pattern-matching"]], "printing allow match default clause (flag)": [[46, "coq:flag.Printing-Allow-Match-Default-Clause"]], "printing factorizable match patterns (flag)": [[46, "coq:flag.Printing-Factorizable-Match-Patterns"]], "printing if (table)": [[46, "coq:table.Printing-If"]], "printing let (table)": [[46, "coq:table.Printing-Let"]], "printing match all subterms (flag)": [[46, "coq:flag.Printing-Match-All-Subterms"]], "printing matching (flag)": [[46, "coq:flag.Printing-Matching"]], "printing synth (flag)": [[46, "coq:flag.Printing-Synth"]], "printing wildcard (flag)": [[46, "coq:flag.Printing-Wildcard"]], "the constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments (error)": [[46, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments"]], "the elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case) (error)": [[46, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)"]], "the variable ident is bound several times in pattern term (error)": [[46, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term"]], "unable to infer a match predicate (error)": [[46, "coq:exn.Unable-to-infer-a-match-predicate"]], "unused variable \u2018ident\u2019 might be a misspelled constructor. use _ or _\u2018ident\u2019 to silence this warning (warning)": [[46, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning."]], "coqtop exit on error (flag)": [[51, "coq:flag.Coqtop-Exit-On-Error"]], "+ (backtracking branching) (tactic)": [[54, "coq:tacn.+-(backtracking-branching)"]], "::=": [[54, "index-0"]], "argument of match does not evaluate to a term (error)": [[54, "coq:exn.Argument-of-match-does-not-evaluate-to-a-term"]], "condition not satisfied (error)": [[54, "coq:exn.Condition-not-satisfied"]], "debug (command)": [[54, "coq:cmd.Debug"]], "debug mode not available in the ide (error)": [[54, "coq:exn.Debug-mode-not-available-in-the-IDE"]], "expression does not evaluate to a tactic (error)": [[54, "coq:exn.Expression-does-not-evaluate-to-a-tactic"]], "failed to progress (error)": [[54, "coq:exn.Failed-to-progress"]], "info (command)": [[54, "coq:cmd.Info"]], "info level (option)": [[54, "coq:opt.Info-Level"]], "ltac (command)": [[54, "coq:cmd.Ltac"]], "ltac backtrace (flag)": [[54, "coq:flag.Ltac-Backtrace"]], "ltac batch debug (flag)": [[54, "coq:flag.Ltac-Batch-Debug"]], "ltac debug (flag)": [[54, "coq:flag.Ltac-Debug"]], "ltac profiler encountered an invalid stack (no self node). this can happen if you reset the profile during tactic execution (warning)": [[54, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution"]], "ltac profiling (flag)": [[54, "coq:flag.Ltac-Profiling"]], "no applicable tactic (error)": [[54, "coq:exn.No-applicable-tactic"]], "no evars (error)": [[54, "coq:exn.No-evars"]], "no matching clauses for match (error)": [[54, "coq:exn.No-matching-clauses-for-match"]], "no matching clauses for match goal (error)": [[54, "coq:exn.No-matching-clauses-for-match-goal"]], "no such goal. (goal selector) (error)": [[54, "coq:exn.No-such-goal.-(Goal-selector)"]], "no such goal. (fail) (error)": [[54, "coq:exn.No-such-goal.-(fail)"]], "not a context variable (error)": [[54, "coq:exn.Not-a-context-variable"]], "not a variable or hypothesis (error)": [[54, "coq:exn.Not-a-variable-or-hypothesis"]], "not an evar (error)": [[54, "coq:exn.Not-an-evar"]], "not equal (due to universes) (error)": [[54, "coq:exn.Not-equal-(due-to-universes)"]], "not equal (error)": [[54, "coq:exn.Not-equal"]], "not ground (error)": [[54, "coq:exn.Not-ground"]], "print ltac (command)": [[54, "coq:cmd.Print-Ltac"]], "print ltac signatures (command)": [[54, "coq:cmd.Print-Ltac-Signatures"]], "reset ltac profile (command)": [[54, "coq:cmd.Reset-Ltac-Profile"]], "show ltac profile (command)": [[54, "coq:cmd.Show-Ltac-Profile"]], "tactic failure (error)": [[54, "coq:exn.Tactic-failure"]], "tactic failure (level \u2018natural\u2019) (error)": [[54, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)"]], "tactic failure: succeeds (error)": [[54, "coq:exn.Tactic-failure:--succeeds"]], "there is already an ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019"]], "there is no ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019"]], "this tactic has more than one success (error)": [[54, "coq:exn.This-tactic-has-more-than-one-success"]], "unbound context identifier \u2018ident\u2019 (error)": [[54, "coq:exn.Unbound-context-identifier-\u2018ident\u2019"]], "[ \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "[> \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "assert_fails (tactic)": [[54, "coq:tacn.assert_fails"]], "assert_succeeds (tactic)": [[54, "coq:tacn.assert_succeeds"]], "constr_eq (tactic)": [[54, "coq:tacn.constr_eq"]], "constr_eq_nounivs (tactic)": [[54, "coq:tacn.constr_eq_nounivs"]], "constr_eq_strict (tactic)": [[54, "coq:tacn.constr_eq_strict"]], "context (tactic)": [[54, "coq:tacn.context"]], "convert (tactic)": [[54, "coq:tacn.convert"]], "do (tactic)": [[54, "coq:tacn.do"]], "exactly_once (tactic)": [[54, "coq:tacn.exactly_once"]], "fail (tactic)": [[54, "coq:tacn.fail"]], "finish_timing (tactic)": [[54, "coq:tacn.finish_timing"]], "first (tactic)": [[54, "coq:tacn.first"]], "fresh (tactic)": [[54, "coq:tacn.fresh"]], "fun (tactic)": [[54, "coq:tacn.fun"]], "gfail (tactic)": [[54, "coq:tacn.gfail"]], "guard (tactic)": [[54, "coq:tacn.guard"]], "has_evar (tactic)": [[54, "coq:tacn.has_evar"]], "idtac (tactic)": [[54, "coq:tacn.idtac"]], "infoh (command)": [[54, "coq:cmd.infoH"]], "is_cofix (tactic)": [[54, "coq:tacn.is_cofix"]], "is_const (tactic)": [[54, "coq:tacn.is_const"]], "is_constructor (tactic)": [[54, "coq:tacn.is_constructor"]], "is_evar (tactic)": [[54, "coq:tacn.is_evar"]], "is_fix (tactic)": [[54, "coq:tacn.is_fix"]], "is_ground (tactic)": [[54, "coq:tacn.is_ground"]], "is_ind (tactic)": [[54, "coq:tacn.is_ind"]], "is_proj (tactic)": [[54, "coq:tacn.is_proj"]], "is_var (tactic)": [[54, "coq:tacn.is_var"]], "lazymatch (tactic)": [[54, "coq:tacn.lazymatch"]], "lazymatch goal (tactic)": [[54, "coq:tacn.lazymatch-goal"]], "let (tactic)": [[54, "coq:tacn.let"]], "ltac-seq (tactic)": [[54, "coq:tacn.ltac-seq"]], "match (tactic)": [[54, "coq:tacn.match"]], "match goal (tactic)": [[54, "coq:tacn.match-goal"]], "multimatch (tactic)": [[54, "coq:tacn.multimatch"]], "multimatch goal (tactic)": [[54, "coq:tacn.multimatch-goal"]], "not a cofix definition (error)": [[54, "coq:exn.not-a-cofix-definition"]], "not a constant (error)": [[54, "coq:exn.not-a-constant"]], "not a constructor (error)": [[54, "coq:exn.not-a-constructor"]], "not a fix definition (error)": [[54, "coq:exn.not-a-fix-definition"]], "not a primitive projection (error)": [[54, "coq:exn.not-a-primitive-projection"]], "not an (co)inductive datatype (error)": [[54, "coq:exn.not-an-(co)inductive-datatype"]], "not_evar (tactic)": [[54, "coq:tacn.not_evar"]], "numgoals (tactic)": [[54, "coq:tacn.numgoals"]], "once (tactic)": [[54, "coq:tacn.once"]], "only (tactic)": [[54, "coq:tacn.only"]], "optimize_heap (tactic)": [[54, "coq:tacn.optimize_heap"]], "progress (tactic)": [[54, "coq:tacn.progress"]], "repeat (tactic)": [[54, "coq:tacn.repeat"]], "reset ltac profile (tactic)": [[54, "coq:tacn.reset-ltac-profile"]], "restart_timer (tactic)": [[54, "coq:tacn.restart_timer"]], "show ltac profile (tactic)": [[54, "coq:tacn.show-ltac-profile"]], "solve (tactic)": [[54, "coq:tacn.solve"]], "start ltac profiling (tactic)": [[54, "coq:tacn.start-ltac-profiling"]], "stop ltac profiling (tactic)": [[54, "coq:tacn.stop-ltac-profiling"]], "time (tactic)": [[54, "coq:tacn.time"]], "time_constr (tactic)": [[54, "coq:tacn.time_constr"]], "timeout (tactic)": [[54, "coq:tacn.timeout"]], "try (tactic)": [[54, "coq:tacn.try"]], "tryif (tactic)": [[54, "coq:tacn.tryif"]], "type of (tactic)": [[54, "coq:tacn.type-of"]], "type_term (tactic)": [[54, "coq:tacn.type_term"]], "unify (tactic)": [[54, "coq:tacn.unify"]], "|| (first tactic making progress) (tactic)": [[54, "coq:tacn.||-(first-tactic-making-progress)"]], "\u2026 : \u2026 (goal selector) (tactic)": [[54, "coq:tacn.\u2026-:-\u2026-(goal-selector)"]], "ltac2 (command)": [[55, "coq:cmd.Ltac2"]], "ltac2 backtrace (flag)": [[55, "coq:flag.Ltac2-Backtrace"]], "ltac2 check (command)": [[55, "coq:cmd.Ltac2-Check"]], "ltac2 eval (command)": [[55, "coq:cmd.Ltac2-Eval"]], "ltac2 globalize (command)": [[55, "coq:cmd.Ltac2-Globalize"]], "ltac2 in ltac1 profiling (flag)": [[55, "coq:flag.Ltac2-In-Ltac1-Profiling"]], "ltac2 notation (abbreviation) (command)": [[55, "coq:cmd.Ltac2-Notation-(abbreviation)"]], "ltac2 notation (command)": [[55, "coq:cmd.Ltac2-Notation"]], "ltac2 set (command)": [[55, "coq:cmd.Ltac2-Set"]], "ltac2 type (command)": [[55, "coq:cmd.Ltac2-Type"]], "ltac2 typed notations (flag)": [[55, "coq:flag.Ltac2-Typed-Notations"]], "ltac2 external (command)": [[55, "coq:cmd.Ltac2-external"]], "notation levels must range between 0 and 6 (error)": [[55, "coq:exn.Notation-levels-must-range-between-0-and-6"]], "print ltac2 (command)": [[55, "coq:cmd.Print-Ltac2"]], "print ltac2 signatures (command)": [[55, "coq:cmd.Print-Ltac2-Signatures"]], "print ltac2 type (command)": [[55, "coq:cmd.Print-Ltac2-Type"]], "the reference x was not found in the current environment (error)": [[55, "coq:exn.The-reference-X-was-not-found-in-the-current-environment"]], "unbound [value|constructor] x (error)": [[55, "coq:exn.Unbound-[value|constructor]-X"]], "abstract (attribute)": [[55, "coq:attr.abstract"]], "if-then-else (ltac2) (tactic)": [[55, "coq:tacn.if-then-else-(Ltac2)"]], "lazy_match! (tactic)": [[55, "coq:tacn.lazy_match!"]], "lazy_match! goal (tactic)": [[55, "coq:tacn.lazy_match!-goal"]], "match (ltac2) (tactic)": [[55, "coq:tacn.match-(Ltac2)"]], "match! (tactic)": [[55, "coq:tacn.match!"]], "match! goal (tactic)": [[55, "coq:tacn.match!-goal"]], "multi_match! (tactic)": [[55, "coq:tacn.multi_match!"]], "multi_match! goal (tactic)": [[55, "coq:tacn.multi_match!-goal"]], "=> (tactic)": [[57, "coq:tacn.=>"]], "debug ssrmatching (flag)": [[57, "coq:flag.Debug-SsrMatching"]], "debug ssreflect (flag)": [[57, "coq:flag.Debug-Ssreflect"]], "duplicate clear of h. use { }h instead of { h }h (warning)": [[57, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H"]], "hint view for (command)": [[57, "coq:cmd.Hint-View-for"]], "hint view for apply (command)": [[57, "coq:cmd.Hint-View-for-apply"]], "hint view for move (command)": [[57, "coq:cmd.Hint-View-for-move"]], "incorrect number of tactics (expected n tactics, was given m) (error)": [[57, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)"]], "prenex implicits (command)": [[57, "coq:cmd.Prenex-Implicits"]], "ssreflect: cannot obtain new equations out of ... (warning)": [[57, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-..."]], "ssrhave notcresolution (flag)": [[57, "coq:flag.SsrHave-NoTCResolution"]], "ssridents (flag)": [[57, "coq:flag.SsrIdents"]], "ssroldrewritegoalsorder (flag)": [[57, "coq:flag.SsrOldRewriteGoalsOrder"]], "ssrrewrite (flag)": [[57, "coq:flag.SsrRewrite"]], "abstract (ssreflect) (tactic)": [[57, "coq:tacn.abstract-(ssreflect)"]], "apply (ssreflect) (tactic)": [[57, "coq:tacn.apply-(ssreflect)"]], "by (tactic)": [[57, "coq:tacn.by"]], "case (ssreflect) (tactic)": [[57, "coq:tacn.case-(ssreflect)"]], "congr (tactic)": [[57, "coq:tacn.congr"]], "do (ssreflect) (tactic)": [[57, "coq:tacn.do-(ssreflect)"]], "done (tactic)": [[57, "coq:tacn.done"]], "elim (ssreflect) (tactic)": [[57, "coq:tacn.elim-(ssreflect)"]], "exact (ssreflect) (tactic)": [[57, "coq:tacn.exact-(ssreflect)"]], "first (ssreflect) (tactic)": [[57, "coq:tacn.first-(ssreflect)"]], "first last (tactic variant)": [[57, "coq:tacv.first-last"]], "generally have (tactic)": [[57, "coq:tacn.generally-have"]], "have (tactic)": [[57, "coq:tacn.have"]], "in (tactic)": [[57, "coq:tacn.in"]], "last (tactic)": [[57, "coq:tacn.last"]], "last first (tactic variant)": [[57, "coq:tacv.last-first"]], "move (ssreflect) (tactic)": [[57, "coq:tacn.move-(ssreflect)"]], "over (tactic)": [[57, "coq:tacn.over"]], "pose (ssreflect) (tactic)": [[57, "coq:tacn.pose-(ssreflect)"]], "rewrite (ssreflect) (tactic)": [[57, "coq:tacn.rewrite-(ssreflect)"]], "set (ssreflect) (tactic)": [[57, "coq:tacn.set-(ssreflect)"]], "suff (tactic)": [[57, "coq:tacn.suff"]], "suffices (tactic)": [[57, "coq:tacn.suffices"]], "under (tactic)": [[57, "coq:tacn.under"]], "unlock (tactic)": [[57, "coq:tacn.unlock"]], "without loss (tactic)": [[57, "coq:tacn.without-loss"]], "wlog (tactic)": [[57, "coq:tacn.wlog"]], "\u2026 : \u2026 (ssreflect) (tactic)": [[57, "coq:tacn.\u2026-:-\u2026-(ssreflect)"]], "cannot change \u2018ident\u2019, it is used in conclusion (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion"]], "cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019"]], "cannot infer a term for this placeholder. (refine) (error)": [[58, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019"]], "default goal selector (option)": [[58, "coq:opt.Default-Goal-Selector"]], "no product even after head-reduction (error)": [[58, "coq:exn.No-product-even-after-head-reduction"]], "no quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction (error)": [[58, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction"]], "no such assumption (error)": [[58, "coq:exn.No-such-assumption"]], "no such binder (error)": [[58, "coq:exn.No-such-binder"]], "no such bound variable \u2018ident\u2019 (no bound variables at all in the expression) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)"]], "no such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ...) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)"]], "no such hypothesis: \u2018ident\u2019 (error)": [[58, "coq:exn.No-such-hypothesis:-\u2018ident\u2019"]], "no \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction (error)": [[58, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction"]], "not an exact proof (error)": [[58, "coq:exn.Not-an-exact-proof"]], "not the right number of missing arguments (expected \u2018natural\u2019) (error)": [[58, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)"]], "proof is not complete. (assert) (error)": [[58, "coq:exn.Proof-is-not-complete.-(assert)"]], "the term \"\u2018type\u2019\" has type \"\u2018type\u2019\" which should be set, prop or type (error)": [[58, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type"]], "the variable \u2018ident\u2019 is already declared (error)": [[58, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared"]], "unable to apply lemma of type \"...\" on hypothesis of type \"...\" (error)": [[58, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\""]], "unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019 (error)": [[58, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019"]], "unable to unify \u2018one_term\u2019 with \u2018one_term\u2019 (error)": [[58, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019"]], "absurd (tactic)": [[58, "coq:tacn.absurd"]], "apply (tactic)": [[58, "coq:tacn.apply"]], "assert (tactic)": [[58, "coq:tacn.assert"]], "assumption (tactic)": [[58, "coq:tacn.assumption"]], "classical_left (tactic)": [[58, "coq:tacn.classical_left"]], "classical_right (tactic)": [[58, "coq:tacn.classical_right"]], "clear (tactic)": [[58, "coq:tacn.clear"]], "clear dependent (tactic)": [[58, "coq:tacn.clear-dependent"]], "clearbody (tactic)": [[58, "coq:tacn.clearbody"]], "contradict (tactic)": [[58, "coq:tacn.contradict"]], "contradiction (tactic)": [[58, "coq:tacn.contradiction"]], "cut (tactic)": [[58, "coq:tacn.cut"]], "dependent generalize_eqs (tactic)": [[58, "coq:tacn.dependent-generalize_eqs"]], "dependent generalize_eqs_vars (tactic)": [[58, "coq:tacn.dependent-generalize_eqs_vars"]], "eapply (tactic)": [[58, "coq:tacn.eapply"]], "eassert (tactic)": [[58, "coq:tacn.eassert"]], "eassumption (tactic)": [[58, "coq:tacn.eassumption"]], "eenough (tactic)": [[58, "coq:tacn.eenough"]], "eexact (tactic)": [[58, "coq:tacn.eexact"]], "eintros (tactic)": [[58, "coq:tacn.eintros"]], "enough (tactic)": [[58, "coq:tacn.enough"]], "epose (tactic)": [[58, "coq:tacn.epose"]], "epose proof (tactic)": [[58, "coq:tacn.epose-proof"]], "eremember (tactic)": [[58, "coq:tacn.eremember"]], "eset (tactic)": [[58, "coq:tacn.eset"]], "evar (tactic)": [[58, "coq:tacn.evar"]], "exact (tactic)": [[58, "coq:tacn.exact"]], "exact_no_check (tactic)": [[58, "coq:tacn.exact_no_check"]], "exfalso (tactic)": [[58, "coq:tacn.exfalso"]], "generalize (tactic)": [[58, "coq:tacn.generalize"]], "generalize dependent (tactic)": [[58, "coq:tacn.generalize-dependent"]], "generalize_eqs (tactic)": [[58, "coq:tacn.generalize_eqs"]], "generalize_eqs_vars (tactic)": [[58, "coq:tacn.generalize_eqs_vars"]], "instantiate (tactic)": [[58, "coq:tacn.instantiate"]], "intro (tactic)": [[58, "coq:tacn.intro"]], "intros (tactic)": [[58, "coq:tacn.intros"]], "intros until (tactic)": [[58, "coq:tacn.intros-until"]], "lapply (tactic)": [[58, "coq:tacn.lapply"]], "lapply needs a non-dependent product (error)": [[58, "coq:exn.lapply-needs-a-non-dependent-product"]], "move (tactic)": [[58, "coq:tacn.move"]], "native_cast_no_check (tactic)": [[58, "coq:tacn.native_cast_no_check"]], "pose (tactic)": [[58, "coq:tacn.pose"]], "pose proof (tactic)": [[58, "coq:tacn.pose-proof"]], "rapply (tactic)": [[58, "coq:tacn.rapply"]], "refine (tactic)": [[58, "coq:tacn.refine"]], "remember (tactic)": [[58, "coq:tacn.remember"]], "rename (tactic)": [[58, "coq:tacn.rename"]], "revert (tactic)": [[58, "coq:tacn.revert"]], "revert dependent (tactic)": [[58, "coq:tacn.revert-dependent"]], "set (tactic)": [[58, "coq:tacn.set"]], "simple apply (tactic)": [[58, "coq:tacn.simple-apply"]], "simple eapply (tactic)": [[58, "coq:tacn.simple-eapply"]], "specialize (tactic)": [[58, "coq:tacn.specialize"]], "specialize_eqs (tactic)": [[58, "coq:tacn.specialize_eqs"]], "vm_cast_no_check (tactic)": [[58, "coq:tacn.vm_cast_no_check"]], "\u2018ident\u2019 is already used (error)": [[58, "coq:exn.\u2018ident\u2019-is-already-used"]], "\u2018ident\u2019 is not a local definition (error)": [[58, "coq:exn.\u2018ident\u2019-is-not-a-local-definition"]], "\u2018ident\u2019 is used in the conclusion (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion"]], "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019"]], "about (command)": [[59, "coq:cmd.About"]], "back (command)": [[59, "coq:cmd.Back"]], "backto (command)": [[59, "coq:cmd.BackTo"]], "bad magic number (error)": [[59, "coq:exn.Bad-magic-number"]], "cannot find library foo in loadpath (error)": [[59, "coq:exn.Cannot-find-library-foo-in-loadpath"]], "cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019 (error)": [[59, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019"]], "can\u2019t find file \u2018ident\u2019 on loadpath (error)": [[59, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath"]], "check (command)": [[59, "coq:cmd.Check"]], "compiled library \u2018ident\u2019.vo makes inconsistent assumptions over library \u2018qualid\u2019 (error)": [[59, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019"]], "debug (option)": [[59, "coq:opt.Debug"]], "declare ml module (command)": [[59, "coq:cmd.Declare-ML-Module"]], "default timeout (option)": [[59, "coq:opt.Default-Timeout"]], "drop (command)": [[59, "coq:cmd.Drop"]], "dynlink error: execution of module initializers in the (error)": [[59, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the"]], "fail (command)": [[59, "coq:cmd.Fail"]], "fast name printing (flag)": [[59, "coq:flag.Fast-Name-Printing"]], "file ... found twice in ... (warning)": [[59, "coq:warn.File-...-found-twice-in-..."]], "file not found on loadpath: \u2018string\u2019 (error)": [[59, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019"]], "files processed by load cannot leave open proofs (error)": [[59, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs"]], "from \u2026 dependency (command)": [[59, "coq:cmd.From-\u2026-Dependency"]], "from \u2026 require (command)": [[59, "coq:cmd.From-\u2026-Require"]], "guard checking (flag)": [[59, "coq:flag.Guard-Checking"]], "inspect (command)": [[59, "coq:cmd.Inspect"]], "instructions (command)": [[59, "coq:cmd.Instructions"]], "invalid backtrack (error)": [[59, "coq:exn.Invalid-backtrack"]], "load (command)": [[59, "coq:cmd.Load"]], "load is not supported inside proofs (error)": [[59, "coq:exn.Load-is-not-supported-inside-proofs"]], "locate (command)": [[59, "coq:cmd.Locate"]], "locate file (command)": [[59, "coq:cmd.Locate-File"]], "locate library (command)": [[59, "coq:cmd.Locate-Library"]], "locate ltac (command)": [[59, "coq:cmd.Locate-Ltac"]], "locate ltac2 (command)": [[59, "coq:cmd.Locate-Ltac2"]], "locate module (command)": [[59, "coq:cmd.Locate-Module"]], "locate term (command)": [[59, "coq:cmd.Locate-Term"]], "module/section \u2018qualid\u2019 not found (error)": [[59, "coq:exn.Module/section-\u2018qualid\u2019-not-found"]], "positivity checking (flag)": [[59, "coq:flag.Positivity-Checking"]], "primitive (command)": [[59, "coq:cmd.Primitive"]], "print (command)": [[59, "coq:cmd.Print"]], "print all (command)": [[59, "coq:cmd.Print-All"]], "print all dependencies (command)": [[59, "coq:cmd.Print-All-Dependencies"]], "print assumptions (command)": [[59, "coq:cmd.Print-Assumptions"]], "print libraries (command)": [[59, "coq:cmd.Print-Libraries"]], "print loadpath (command)": [[59, "coq:cmd.Print-LoadPath"]], "print ml modules (command)": [[59, "coq:cmd.Print-ML-Modules"]], "print ml path (command)": [[59, "coq:cmd.Print-ML-Path"]], "print opaque dependencies (command)": [[59, "coq:cmd.Print-Opaque-Dependencies"]], "print registered (command)": [[59, "coq:cmd.Print-Registered"]], "print registered schemes (command)": [[59, "coq:cmd.Print-Registered-Schemes"]], "print section (command)": [[59, "coq:cmd.Print-Section"]], "print transparent dependencies (command)": [[59, "coq:cmd.Print-Transparent-Dependencies"]], "print typing flags (command)": [[59, "coq:cmd.Print-Typing-Flags"]], "printing all (flag)": [[59, "coq:flag.Printing-All"]], "printing compact contexts (flag)": [[59, "coq:flag.Printing-Compact-Contexts"]], "printing dependent evars line (flag)": [[59, "coq:flag.Printing-Dependent-Evars-Line"]], "printing depth (option)": [[59, "coq:opt.Printing-Depth"]], "printing unfocused (flag)": [[59, "coq:flag.Printing-Unfocused"]], "printing width (option)": [[59, "coq:opt.Printing-Width"]], "profile (command)": [[59, "coq:cmd.Profile"]], "quit (command)": [[59, "coq:cmd.Quit"]], "redirect (command)": [[59, "coq:cmd.Redirect"]], "register (command)": [[59, "coq:cmd.Register"]], "register inline (command)": [[59, "coq:cmd.Register-Inline"]], "register scheme (command)": [[59, "coq:cmd.Register-Scheme"]], "require (command)": [[59, "coq:cmd.Require"]], "require export (command)": [[59, "coq:cmd.Require-Export"]], "require import (command)": [[59, "coq:cmd.Require-Import"]], "require inside a module is deprecated and strongly discouraged. you can require a module at toplevel and optionally import it inside another one (warning)": [[59, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one"]], "required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ...) (error)": [[59, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)"]], "reset (command)": [[59, "coq:cmd.Reset"]], "reset initial (command)": [[59, "coq:cmd.Reset-Initial"]], "search (command)": [[59, "coq:cmd.Search"]], "search blacklist (table)": [[59, "coq:table.Search-Blacklist"]], "search output name only (flag)": [[59, "coq:flag.Search-Output-Name-Only"]], "searchpattern (command)": [[59, "coq:cmd.SearchPattern"]], "searchrewrite (command)": [[59, "coq:cmd.SearchRewrite"]], "silent (flag)": [[59, "coq:flag.Silent"]], "succeed (command)": [[59, "coq:cmd.Succeed"]], "the command has not failed! (error)": [[59, "coq:exn.The-command-has-not-failed!"]], "the file \u2018ident\u2019.vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019 (error)": [[59, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019"]], "the type \u2018ident\u2019 must be registered before this construction can be typechecked (error)": [[59, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked"]], "this object does not support universe names (error)": [[59, "coq:exn.This-object-does-not-support-universe-names"]], "time (command)": [[59, "coq:cmd.Time"]], "timeout (command)": [[59, "coq:cmd.Timeout"]], "type (command)": [[59, "coq:cmd.Type"]], "universe checking (flag)": [[59, "coq:flag.Universe-Checking"]], "universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019 (error)": [[59, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019"]], "warnings (option)": [[59, "coq:opt.Warnings"]], "bypass_check(guard) (attribute)": [[59, "coq:attr.bypass_check(guard)"]], "bypass_check(positivity) (attribute)": [[59, "coq:attr.bypass_check(positivity)"]], "bypass_check(universes) (attribute)": [[59, "coq:attr.bypass_check(universes)"]], "package-name.foo and not foo_plugin (error)": [[59, "coq:exn.package-name.foo-and-not-foo_plugin"]], "plugin name anymore. plugins should be loaded using their (error)": [[59, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their"]], "public name according to findlib, for example (error)": [[59, "coq:exn.public-name-according-to-findlib,-for-example"]], "shared library failed: coq error: \u2018string\u2019 is not a valid (error)": [[59, "coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid"]], "\u2018qualid\u2019 not a defined object (error)": [[59, "coq:exn.\u2018qualid\u2019-not-a-defined-object"]], "cannot coerce \u2018qualid\u2019 to an evaluable reference (error)": [[60, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference"]], "create hintdb (command)": [[60, "coq:cmd.Create-HintDb"]], "debug auto (flag)": [[60, "coq:flag.Debug-Auto"]], "debug eauto (flag)": [[60, "coq:flag.Debug-Eauto"]], "debug trivial (flag)": [[60, "coq:flag.Debug-Trivial"]], "declaring arbitrary terms as hints is fragile and deprecated": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "hint constants (command)": [[60, "coq:cmd.Hint-Constants"]], "hint constructors (command)": [[60, "coq:cmd.Hint-Constructors"]], "hint cut (command)": [[60, "coq:cmd.Hint-Cut"]], "hint extern (command)": [[60, "coq:cmd.Hint-Extern"]], "hint immediate (command)": [[60, "coq:cmd.Hint-Immediate"]], "hint mode (command)": [[60, "coq:cmd.Hint-Mode"]], "hint opaque (command)": [[60, "coq:cmd.Hint-Opaque"]], "hint projections (command)": [[60, "coq:cmd.Hint-Projections"]], "hint resolve (command)": [[60, "coq:cmd.Hint-Resolve"]], "hint rewrite (command)": [[60, "coq:cmd.Hint-Rewrite"]], "hint transparent (command)": [[60, "coq:cmd.Hint-Transparent"]], "hint unfold (command)": [[60, "coq:cmd.Hint-Unfold"]], "hint variables (command)": [[60, "coq:cmd.Hint-Variables"]], "info auto (flag)": [[60, "coq:flag.Info-Auto"]], "info eauto (flag)": [[60, "coq:flag.Info-Eauto"]], "info trivial (flag)": [[60, "coq:flag.Info-Trivial"]], "loose hint behavior (option)": [[60, "coq:opt.Loose-Hint-Behavior"]], "print hint (command)": [[60, "coq:cmd.Print-Hint"]], "print hintdb (command)": [[60, "coq:cmd.Print-HintDb"]], "print rewrite hintdb (command)": [[60, "coq:cmd.Print-Rewrite-HintDb"]], "proof with (command)": [[60, "coq:cmd.Proof-with"]], "remove hints (command)": [[60, "coq:cmd.Remove-Hints"]], "the \"at\" syntax isn't available yet for the autorewrite tactic (error)": [[60, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic"]], "this hint is not local but depends on a section variable. it will disappear when the section is closed (warning)": [[60, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed"]], "auto (tactic)": [[60, "coq:tacn.auto"]], "autorewrite (tactic)": [[60, "coq:tacn.autorewrite"]], "autounfold (tactic)": [[60, "coq:tacn.autounfold"]], "autounfold_one (tactic)": [[60, "coq:tacn.autounfold_one"]], "debug auto (tactic)": [[60, "coq:tacn.debug-auto"]], "debug eauto (tactic)": [[60, "coq:tacn.debug-eauto"]], "debug trivial (tactic)": [[60, "coq:tacn.debug-trivial"]], "easy (tactic)": [[60, "coq:tacn.easy"]], "eauto (tactic)": [[60, "coq:tacn.eauto"]], "info_auto (tactic)": [[60, "coq:tacn.info_auto"]], "info_eauto (tactic)": [[60, "coq:tacn.info_eauto"]], "info_trivial (tactic)": [[60, "coq:tacn.info_trivial"]], "it is recommended to declare a toplevel constant instead (warning)": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "mismatched-hint-db (warning)": [[60, "coq:warn.mismatched-hint-db"]], "now (tactic)": [[60, "coq:tacn.now"]], "trivial (tactic)": [[60, "coq:tacn.trivial"]], "\u2018qualid\u2019 cannot be used as a hint (error)": [[60, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint"]], "\u2018qualid\u2019 is not an inductive type (error)": [[60, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type"]], "cannot recognize a boolean equality (error)": [[62, "coq:exn.Cannot-recognize-a-boolean-equality"]], "firstorder depth (option)": [[62, "coq:opt.Firstorder-Depth"]], "firstorder solver (option)": [[62, "coq:opt.Firstorder-Solver"]], "goal is solvable by congruence but some arguments are missing. try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms (error)": [[62, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms"]], "i don\u2019t know how to handle dependent equality (error)": [[62, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality"]], "intuition negation unfolding (flag)": [[62, "coq:flag.Intuition-Negation-Unfolding"]], "print firstorder solver (command)": [[62, "coq:cmd.Print-Firstorder-Solver"]], "btauto (tactic)": [[62, "coq:tacn.btauto"]], "congruence (tactic)": [[62, "coq:tacn.congruence"]], "dintuition (tactic)": [[62, "coq:tacn.dintuition"]], "dtauto (tactic)": [[62, "coq:tacn.dtauto"]], "firstorder (tactic)": [[62, "coq:tacn.firstorder"]], "intuition (tactic)": [[62, "coq:tacn.intuition"]], "rtauto (tactic)": [[62, "coq:tacn.rtauto"]], "simple congruence (tactic)": [[62, "coq:tacn.simple-congruence"]], "tauto (tactic)": [[62, "coq:tacn.tauto"]], "bad occurrence number of \u2018qualid\u2019 (error)": [[64, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019"]], "cannot find a relation to rewrite (error)": [[64, "coq:exn.Cannot-find-a-relation-to-rewrite"]], "cannot find any non-recursive equality over \u2018ident\u2019 (error)": [[64, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019"]], "cannot turn [inductive|constructor] into an evaluable reference (error)": [[64, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference"]], "compute (command)": [[64, "coq:cmd.Compute"]], "declare equivalent keys (command)": [[64, "coq:cmd.Declare-Equivalent-Keys"]], "declare left step (command)": [[64, "coq:cmd.Declare-Left-Step"]], "declare reduction (command)": [[64, "coq:cmd.Declare-Reduction"]], "declare right step (command)": [[64, "coq:cmd.Declare-Right-Step"]], "eval (command)": [[64, "coq:cmd.Eval"]], "found an \"at\" clause without \"with\" clause (error)": [[64, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause"]], "found no subterm matching \u2018term\u2019 in the current goal (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal"]], "found no subterm matching \u2018term\u2019 in \u2018ident\u2019 (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019"]], "kernel term sharing (flag)": [[64, "coq:flag.Kernel-Term-Sharing"]], "keyed unification (flag)": [[64, "coq:flag.Keyed-Unification"]], "nativecompute profile filename (option)": [[64, "coq:opt.NativeCompute-Profile-Filename"]], "nativecompute profiling (flag)": [[64, "coq:flag.NativeCompute-Profiling"]], "nativecompute timing (flag)": [[64, "coq:flag.NativeCompute-Timing"]], "no head constant to reduce (error)": [[64, "coq:exn.No-head-constant-to-reduce"]], "not convertible (error)": [[64, "coq:exn.Not-convertible"]], "opaque (command)": [[64, "coq:cmd.Opaque"]], "print equivalent keys (command)": [[64, "coq:cmd.Print-Equivalent-Keys"]], "print strategies (command)": [[64, "coq:cmd.Print-Strategies"]], "print strategy (command)": [[64, "coq:cmd.Print-Strategy"]], "regular subst tactic (flag)": [[64, "coq:flag.Regular-Subst-Tactic"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019 (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion"]], "strategy (command)": [[64, "coq:cmd.Strategy"]], "tactic failure: setoid library not loaded (error)": [[64, "coq:exn.Tactic-failure:-Setoid-library-not-loaded"]], "tactic generated a subgoal identical to the original goal (error)": [[64, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal"]], "terms do not have convertible types (error)": [[64, "coq:exn.Terms-do-not-have-convertible-types"]], "the reference is not unfoldable (error)": [[64, "coq:exn.The-reference-is-not-unfoldable"]], "the reference \u2018qualid\u2019 was not found in the current environment (error)": [[64, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment"]], "the relation \u2018ident\u2019 is not a declared reflexive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared symmetric relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared transitive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "transparent (command)": [[64, "coq:cmd.Transparent"]], "cbn (tactic)": [[64, "coq:tacn.cbn"]], "cbv (tactic)": [[64, "coq:tacn.cbv"]], "change (tactic)": [[64, "coq:tacn.change"]], "change_no_check (tactic)": [[64, "coq:tacn.change_no_check"]], "compute (tactic)": [[64, "coq:tacn.compute"]], "erewrite (tactic)": [[64, "coq:tacn.erewrite"]], "etransitivity (tactic)": [[64, "coq:tacn.etransitivity"]], "eval (tactic)": [[64, "coq:tacn.eval"]], "f_equal (tactic)": [[64, "coq:tacn.f_equal"]], "fold (tactic)": [[64, "coq:tacn.fold"]], "hnf (tactic)": [[64, "coq:tacn.hnf"]], "lazy (tactic)": [[64, "coq:tacn.lazy"]], "native_compute (tactic)": [[64, "coq:tacn.native_compute"]], "now_show (tactic)": [[64, "coq:tacn.now_show"]], "pattern (tactic)": [[64, "coq:tacn.pattern"]], "red (tactic)": [[64, "coq:tacn.red"]], "reflexivity (tactic)": [[64, "coq:tacn.reflexivity"]], "replace (tactic)": [[64, "coq:tacn.replace"]], "rewrite (tactic)": [[64, "coq:tacn.rewrite"]], "rewrite * (tactic)": [[64, "coq:tacn.rewrite-*"]], "simpl (tactic)": [[64, "coq:tacn.simpl"]], "simple subst (tactic)": [[64, "coq:tacn.simple-subst"]], "stepl (tactic)": [[64, "coq:tacn.stepl"]], "stepr (tactic)": [[64, "coq:tacn.stepr"]], "subst (tactic)": [[64, "coq:tacn.subst"]], "substitute (tactic)": [[64, "coq:tacn.substitute"]], "symmetry (tactic)": [[64, "coq:tacn.symmetry"]], "transitivity (tactic)": [[64, "coq:tacn.transitivity"]], "unfold (tactic)": [[64, "coq:tacn.unfold"]], "vm_compute (tactic)": [[64, "coq:tacn.vm_compute"]], "with_strategy (tactic)": [[64, "coq:tacn.with_strategy"]], "\u2018ident\u2019 is opaque (error)": [[64, "coq:exn.\u2018ident\u2019-is-opaque"]], "\u2018qualid\u2019 does not occur (error)": [[64, "coq:exn.\u2018qualid\u2019-does-not-occur"]], "\"all\" is a predefined collection containing all variables. it can't be redefined (error)": [[66, "coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined"]], "abort (command)": [[66, "coq:cmd.Abort"]], "admitted (command)": [[66, "coq:cmd.Admitted"]], "attempt to save an incomplete proof (error)": [[66, "coq:exn.Attempt-to-save-an-incomplete-proof"]], "brackets do not support multi-goal selectors (error)": [[66, "coq:exn.Brackets-do-not-support-multi-goal-selectors"]], "bullet behavior (option)": [[66, "coq:opt.Bullet-Behavior"]], "collection (command)": [[66, "coq:cmd.Collection"]], "default proof mode (option)": [[66, "coq:opt.Default-Proof-Mode"]], "default proof using (option)": [[66, "coq:opt.Default-Proof-Using"]], "defined (command)": [[66, "coq:cmd.Defined"]], "diffs (option)": [[66, "coq:opt.Diffs"]], "focus (command)": [[66, "coq:cmd.Focus"]], "goal (command)": [[66, "coq:cmd.Goal"]], "guarded (command)": [[66, "coq:cmd.Guarded"]], "hyps limit (option)": [[66, "coq:opt.Hyps-Limit"]], "mangle names (flag)": [[66, "coq:flag.Mangle-Names"]], "mangle names light (flag)": [[66, "coq:flag.Mangle-Names-Light"]], "mangle names prefix (option)": [[66, "coq:opt.Mangle-Names-Prefix"]], "nested proofs allowed (flag)": [[66, "coq:flag.Nested-Proofs-Allowed"]], "new collection definition of \u2018ident\u2019 shadows the previous one (warning)": [[66, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one"]], "no focused proof (no proof-editing in progress) (error)": [[66, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)"]], "no focused proof (error)": [[66, "coq:exn.No-focused-proof"]], "no focused proof to restart (error)": [[66, "coq:exn.No-focused-proof-to-restart"]], "no such goal (error)": [[66, "coq:exn.No-such-goal"]], "no such goal (\u2018ident\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018ident\u2019)"]], "no such goal (\u2018natural\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018natural\u2019)"]], "no such goal. focus next goal with bullet \u2018bullet\u2019 (error)": [[66, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019"]], "no such goal. try unfocusing with } (error)": [[66, "coq:exn.No-such-goal.-Try-unfocusing-with-}"]], "optimize heap (command)": [[66, "coq:cmd.Optimize-Heap"]], "optimize proof (command)": [[66, "coq:cmd.Optimize-Proof"]], "print debug gc (command)": [[66, "coq:cmd.Print-Debug-GC"]], "printing goal names (flag)": [[66, "coq:flag.Printing-Goal-Names"]], "printing goal tags (flag)": [[66, "coq:flag.Printing-Goal-Tags"]], "proof (command)": [[66, "coq:cmd.Proof"]], "proof mode (command)": [[66, "coq:cmd.Proof-Mode"]], "proof `term` (command)": [[66, "coq:cmd.Proof-`term`"]], "proof is not complete. (abstract) (error)": [[66, "coq:exn.Proof-is-not-complete.-(abstract)"]], "proof using (command)": [[66, "coq:cmd.Proof-using"]], "qed (command)": [[66, "coq:cmd.Qed"]], "restart (command)": [[66, "coq:cmd.Restart"]], "save (command)": [[66, "coq:cmd.Save"]], "show (command)": [[66, "coq:cmd.Show"]], "show conjectures (command)": [[66, "coq:cmd.Show-Conjectures"]], "show existentials (command)": [[66, "coq:cmd.Show-Existentials"]], "show goal (command)": [[66, "coq:cmd.Show-Goal"]], "show intro (command)": [[66, "coq:cmd.Show-Intro"]], "show intros (command)": [[66, "coq:cmd.Show-Intros"]], "show match (command)": [[66, "coq:cmd.Show-Match"]], "show proof (command)": [[66, "coq:cmd.Show-Proof"]], "show universes (command)": [[66, "coq:cmd.Show-Universes"]], "solve unification constraints (flag)": [[66, "coq:flag.Solve-Unification-Constraints"]], "suggest proof using (flag)": [[66, "coq:flag.Suggest-Proof-Using"]], "this proof is focused, but cannot be unfocused this way (error)": [[66, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way"]], "undo (command)": [[66, "coq:cmd.Undo"]], "unfocus (command)": [[66, "coq:cmd.Unfocus"]], "unfocused (command)": [[66, "coq:cmd.Unfocused"]], "unknown inductive type (error)": [[66, "coq:exn.Unknown-inductive-type"]], "unshelve (command)": [[66, "coq:cmd.Unshelve"]], "validate proof (command)": [[66, "coq:cmd.Validate-Proof"]], "variable all is shadowed by collection named all containing all variables (warning)": [[66, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables"]], "wrong bullet \u2018bullet\u2019: bullet \u2018bullet\u2019 is mandatory here (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here"]], "wrong bullet \u2018bullet\u2019: current bullet \u2018bullet\u2019 is not finished (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished"]], "abstract (tactic)": [[66, "coq:tacn.abstract"]], "admit (tactic)": [[66, "coq:tacn.admit"]], "bullet (- + *) (tactic)": [[66, "coq:tacn.bullet-(--+-*)"]], "cycle (tactic)": [[66, "coq:tacn.cycle"]], "give_up (tactic)": [[66, "coq:tacn.give_up"]], "revgoals (tactic)": [[66, "coq:tacn.revgoals"]], "shelve (tactic)": [[66, "coq:tacn.shelve"]], "shelve_unifiable (tactic)": [[66, "coq:tacn.shelve_unifiable"]], "solve_constraints (tactic)": [[66, "coq:tacn.solve_constraints"]], "swap (tactic)": [[66, "coq:tacn.swap"]], "transparent_abstract (tactic)": [[66, "coq:tacn.transparent_abstract"]], "unshelve (tactic)": [[66, "coq:tacn.unshelve"]], "using (attribute)": [[66, "coq:attr.using"]], "{ (tactic)": [[66, "coq:tacn.{"]], "} (tactic)": [[66, "coq:tacn.}"]], "\u2018ident\u2019 is both name of a collection and variable, collection \u2018ident\u2019 takes precedence over variable (warning)": [[66, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable"]], "\u2018ident\u2019 was already a defined variable, the name \u2018ident\u2019 will refer to collection when executing \"proof using\" command (warning)": [[66, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command"]], "boolean equality schemes (flag)": [[67, "coq:flag.Boolean-Equality-Schemes"]], "cannot recognize a statement based on \u2018reference\u2019 (error)": [[67, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019"]], "case analysis schemes (flag)": [[67, "coq:flag.Case-Analysis-Schemes"]], "combined scheme (command)": [[67, "coq:cmd.Combined-Scheme"]], "decidable equality schemes (flag)": [[67, "coq:flag.Decidable-Equality-Schemes"]], "derive dependent inversion (command)": [[67, "coq:cmd.Derive-Dependent-Inversion"]], "derive dependent inversion_clear (command)": [[67, "coq:cmd.Derive-Dependent-Inversion_clear"]], "derive inversion (command)": [[67, "coq:cmd.Derive-Inversion"]], "derive inversion_clear (command)": [[67, "coq:cmd.Derive-Inversion_clear"]], "elimination schemes (flag)": [[67, "coq:flag.Elimination-Schemes"]], "keep equalities (table)": [[67, "coq:table.Keep-Equalities"]], "keep proof equalities (flag)": [[67, "coq:flag.Keep-Proof-Equalities"]], "no information can be deduced from this equality and the injectivity of constructors. this may be because the terms are convertible, or due to pattern matching restrictions in the sort prop. you can try to use option set keep proof equalities (error)": [[67, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities"]], "no primitive equality found (error)": [[67, "coq:exn.No-primitive-equality-found"]], "nonrecursive elimination schemes (flag)": [[67, "coq:flag.Nonrecursive-Elimination-Schemes"]], "not a discriminable equality (error)": [[67, "coq:exn.Not-a-discriminable-equality"]], "not a negated primitive equality (error)": [[67, "coq:exn.Not-a-negated-primitive-equality"]], "not an inductive goal with 1 constructor (error)": [[67, "coq:exn.Not-an-inductive-goal-with-1-constructor"]], "not an inductive goal with 2 constructors (error)": [[67, "coq:exn.Not-an-inductive-goal-with-2-constructors"]], "not an inductive product (error)": [[67, "coq:exn.Not-an-inductive-product"]], "not enough constructors (error)": [[67, "coq:exn.Not-enough-constructors"]], "nothing to inject (error)": [[67, "coq:exn.Nothing-to-inject"]], "rewriting schemes (flag)": [[67, "coq:flag.Rewriting-Schemes"]], "scheme (command)": [[67, "coq:cmd.Scheme"]], "scheme boolean equality (command)": [[67, "coq:cmd.Scheme-Boolean-Equality"]], "scheme equality (command)": [[67, "coq:cmd.Scheme-Equality"]], "structural injection (flag)": [[67, "coq:flag.Structural-Injection"]], "the type has no constructors (error)": [[67, "coq:exn.The-type-has-no-constructors"]], "type of \u2018ident\u2019 is not an equality of recognized \u03c3 types: expected one of sig sig2 sigt sigt2 sigt2 ex or ex2 but got \u2018term\u2019 (error)": [[67, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019"]], "unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019 (error)": [[67, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019"]], "case (tactic)": [[67, "coq:tacn.case"]], "case_eq (tactic)": [[67, "coq:tacn.case_eq"]], "cofix (tactic)": [[67, "coq:tacn.cofix"]], "compare (tactic)": [[67, "coq:tacn.compare"]], "constructor (tactic)": [[67, "coq:tacn.constructor"]], "decide (tactic)": [[67, "coq:tacn.decide"]], "decide equality (tactic)": [[67, "coq:tacn.decide-equality"]], "decompose (tactic)": [[67, "coq:tacn.decompose"]], "decompose record (tactic)": [[67, "coq:tacn.decompose-record"]], "decompose sum (tactic)": [[67, "coq:tacn.decompose-sum"]], "dependent destruction (tactic)": [[67, "coq:tacn.dependent-destruction"]], "dependent induction (tactic)": [[67, "coq:tacn.dependent-induction"]], "dependent inversion (tactic)": [[67, "coq:tacn.dependent-inversion"]], "dependent inversion_clear (tactic)": [[67, "coq:tacn.dependent-inversion_clear"]], "dependent rewrite (tactic)": [[67, "coq:tacn.dependent-rewrite"]], "dependent simple inversion (tactic)": [[67, "coq:tacn.dependent-simple-inversion"]], "destauto (tactic)": [[67, "coq:tacn.destauto"]], "destruct (tactic)": [[67, "coq:tacn.destruct"]], "discriminate (tactic)": [[67, "coq:tacn.discriminate"]], "ecase (tactic)": [[67, "coq:tacn.ecase"]], "econstructor (tactic)": [[67, "coq:tacn.econstructor"]], "edestruct (tactic)": [[67, "coq:tacn.edestruct"]], "ediscriminate (tactic)": [[67, "coq:tacn.ediscriminate"]], "eelim (tactic)": [[67, "coq:tacn.eelim"]], "eexists (tactic)": [[67, "coq:tacn.eexists"]], "einduction (tactic)": [[67, "coq:tacn.einduction"]], "einjection (tactic)": [[67, "coq:tacn.einjection"]], "eleft (tactic)": [[67, "coq:tacn.eleft"]], "elim (tactic)": [[67, "coq:tacn.elim"]], "eright (tactic)": [[67, "coq:tacn.eright"]], "esimplify_eq (tactic)": [[67, "coq:tacn.esimplify_eq"]], "esplit (tactic)": [[67, "coq:tacn.esplit"]], "exists (tactic)": [[67, "coq:tacn.exists"]], "fix (tactic)": [[67, "coq:tacn.fix"]], "induction (tactic)": [[67, "coq:tacn.induction"]], "injection (tactic)": [[67, "coq:tacn.injection"]], "inversion (tactic)": [[67, "coq:tacn.inversion"]], "inversion_clear (tactic)": [[67, "coq:tacn.inversion_clear"]], "inversion_sigma (tactic)": [[67, "coq:tacn.inversion_sigma"]], "left (tactic)": [[67, "coq:tacn.left"]], "right (tactic)": [[67, "coq:tacn.right"]], "simple destruct (tactic)": [[67, "coq:tacn.simple-destruct"]], "simple induction (tactic)": [[67, "coq:tacn.simple-induction"]], "simple injection (tactic)": [[67, "coq:tacn.simple-injection"]], "simple inversion (tactic)": [[67, "coq:tacn.simple-inversion"]], "simplify_eq (tactic)": [[67, "coq:tacn.simplify_eq"]], "split (tactic)": [[67, "coq:tacn.split"]], "\u2018ident\u2019 is not an equality of \u03c3 types (error)": [[67, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types"]], "'via' and 'abstract' cannot be used together (error)": [[71, "coq:exn.'via'-and-'abstract'-cannot-be-used-together"]], "activation of abbreviations does not expect mentioning a grammar entry (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry"]], "activation of abbreviations does not expect mentioning a scope (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope"]], "bind scope (command)": [[71, "coq:cmd.Bind-Scope"]], "cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment (error)": [[71, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment"]], "cannot interpret this number as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019"]], "cannot interpret this string as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019"]], "close scope (command)": [[71, "coq:cmd.Close-Scope"]], "declare custom entry (command)": [[71, "coq:cmd.Declare-Custom-Entry"]], "declare scope (command)": [[71, "coq:cmd.Declare-Scope"]], "delimit scope (command)": [[71, "coq:cmd.Delimit-Scope"]], "disable notation (command)": [[71, "coq:cmd.Disable-Notation"]], "enable notation (command)": [[71, "coq:cmd.Enable-Notation"]], "end of quoted string not followed by a space in notation (error)": [[71, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation"]], "found no matching notation to enable or disable (warning)": [[71, "coq:warn.Found-no-matching-notation-to-enable-or-disable"]], "infix (command)": [[71, "coq:cmd.Infix"]], "missing mapping for constructor \u2018qualid\u2019 (error)": [[71, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019"]], "more than one interpretation bound to this notation, confirm with the \"all\" modifier (error)": [[71, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier"]], "multiple 'via' options (error)": [[71, "coq:exn.Multiple-'via'-options"]], "multiple 'warning after' or 'abstract after' options (error)": [[71, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options"]], "no notation provided (error)": [[71, "coq:exn.No-notation-provided"]], "notation (abbreviation) (command)": [[71, "coq:cmd.Notation-(abbreviation)"]], "notation (command)": [[71, "coq:cmd.Notation"]], "number notation (command)": [[71, "coq:cmd.Number-Notation"]], "open scope (command)": [[71, "coq:cmd.Open-Scope"]], "print custom grammar (command)": [[71, "coq:cmd.Print-Custom-Grammar"]], "print grammar (command)": [[71, "coq:cmd.Print-Grammar"]], "print keywords (command)": [[71, "coq:cmd.Print-Keywords"]], "print notation (command)": [[71, "coq:cmd.Print-Notation"]], "print scope (command)": [[71, "coq:cmd.Print-Scope"]], "print scopes (command)": [[71, "coq:cmd.Print-Scopes"]], "print visibility (command)": [[71, "coq:cmd.Print-Visibility"]], "printing notations (flag)": [[71, "coq:flag.Printing-Notations"]], "printing parentheses (flag)": [[71, "coq:flag.Printing-Parentheses"]], "printing raw literals (flag)": [[71, "coq:flag.Printing-Raw-Literals"]], "reserved infix (command)": [[71, "coq:cmd.Reserved-Infix"]], "reserved notation (command)": [[71, "coq:cmd.Reserved-Notation"]], "scope delimiters should not start with an underscore (error)": [[71, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore"]], "scope names should not start with an underscore (error)": [[71, "coq:exn.Scope-names-should-not-start-with-an-underscore"]], "stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed) (warning)": [[71, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)"]], "string notation (command)": [[71, "coq:cmd.String-Notation"]], "syntax error: [prim:reference] expected after 'notation' (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])"]], "syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])"]], "tactic notation (command)": [[71, "coq:cmd.Tactic-Notation"]], "the 'abstract after' directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type (warning)": [[71, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type"]], "to avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019 (warning)": [[71, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019"]], "type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. expected type is: \u2018type\u2019 instead of \u2018type\u2019. this might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation"]], "undelimit scope (command)": [[71, "coq:cmd.Undelimit-Scope"]], "unexpected non-option term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected non-option term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unexpected only parsing for an only printing notation (error)": [[71, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation"]], "unexpected only printing for an only parsing notation (error)": [[71, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation"]], "unexpected term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unknown custom entry (error)": [[71, "coq:exn.Unknown-custom-entry"]], "unknown custom entry: \u2018ident\u2019 (error)": [[71, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019"]], "unterminated string in notation (error)": [[71, "coq:exn.Unterminated-string-in-notation"]], "use of \u2018string\u2019 notation is deprecated as it is inconsistent with pattern syntax (warning)": [[71, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax"]], "add_bottom (attribute)": [[71, "coq:attr.add_bottom"]], "add_top (attribute)": [[71, "coq:attr.add_top"]], "closed-notation-not-level-0 (warning)": [[71, "coq:warn.closed-notation-not-level-0"]], "function_scope": [[71, "index-1"]], "notation-incompatible-prefix (warning)": [[71, "coq:warn.notation-incompatible-prefix"]], "overflow in int63 literal \u2018bigint\u2019 (error)": [[71, "coq:exn.overflow-in-int63-literal-\u2018bigint\u2019"]], "postfix-notation-not-level-1 (warning)": [[71, "coq:warn.postfix-notation-not-level-1"]], "type_scope": [[71, "index-0"]], "\u2018qualid\u2019 is bound to a notation that does not denote a reference (error)": [[71, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference"]], "\u2018qualid\u2019 should go from byte.byte, (list byte.byte), or primstring.string to \u2018type\u2019 or (option \u2018type\u2019) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)"]], "\u2018qualid\u2019 should go from number.int to \u2018type\u2019 or (option \u2018type\u2019). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or primfloat.float or number.number could be used (you may need to require binnums or number or primint63 or primfloat first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to number.int or (option number.int). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or number.number could be used (you may need to require binnums or number or primint63 first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to t or (option t), where t is either byte.byte, (list byte.byte), or primstring.string (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string"]], "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019 (error)": [[71, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018string\u2019 cannot be interpreted as a known notation. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018type\u2019 is not an inductive type (error)": [[71, "coq:exn.\u2018type\u2019-is-not-an-inductive-type"]], "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation"]], "cannot build functional inversion principle (warning)": [[72, "coq:warn.Cannot-build-functional-inversion-principle"]], "cannot define graph for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019"]], "cannot define principle(s) for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019"]], "cannot find induction information on \u2018qualid\u2019 (error)": [[72, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019"]], "cannot find inversion information for hypothesis \u2018ident\u2019 (error)": [[72, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019"]], "cannot use mutual definition with well-founded recursion or measure (error)": [[72, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure"]], "function (command)": [[72, "coq:cmd.Function"]], "functional case (command)": [[72, "coq:cmd.Functional-Case"]], "functional scheme (command)": [[72, "coq:cmd.Functional-Scheme"]], "generate graph for (command)": [[72, "coq:cmd.Generate-graph-for"]], "hypothesis \u2018ident\u2019 must contain at least one function (error)": [[72, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function"]], "no argument name \u2018ident\u2019 (error)": [[72, "coq:exn.No-argument-name-\u2018ident\u2019"]], "not the right number of induction arguments (error)": [[72, "coq:exn.Not-the-right-number-of-induction-arguments"]], "the recursive argument must be specified (error)": [[72, "coq:exn.The-recursive-argument-must-be-specified"]], "functional induction (tactic)": [[72, "coq:tacn.functional-induction"]], "functional inversion (tactic)": [[72, "coq:tacn.functional-inversion"]], "soft functional induction (tactic)": [[72, "coq:tacn.soft-functional-induction"]], "library file (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "library file \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "tactic notation \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "deprecated (attribute)": [[74, "coq:attr.deprecated"]], "warn (attribute)": [[74, "coq:attr.warn"]], "\u2018string\u2019 (warning)": [[74, "coq:warn.\u2018string\u2019"]], "coqdoc": [[75, "index-0"]]}}) \ No newline at end of file diff --git a/master/stdlib/Stdlib.Arith.Arith_base.html b/master/stdlib/Stdlib.Arith.Arith_base.html index 371c26a5b8..3325c32515 100644 --- a/master/stdlib/Stdlib.Arith.Arith_base.html +++ b/master/stdlib/Stdlib.Arith.Arith_base.html @@ -57,7 +57,7 @@

Library Stdlib.Arith.Arith_base

-

arith hint database

+

arith hint database

@@ -79,7 +79,7 @@

Library Stdlib.Arith.Arith_base

-

lt and le

+

lt and le

diff --git a/master/stdlib/Stdlib.Arith.EqNat.html b/master/stdlib/Stdlib.Arith.EqNat.html index cfaec8a855..69715b963a 100644 --- a/master/stdlib/Stdlib.Arith.EqNat.html +++ b/master/stdlib/Stdlib.Arith.EqNat.html @@ -55,7 +55,7 @@

Library Stdlib.Arith.EqNat

Equality on natural numbers
-

Propositional equality

+

Propositional equality

diff --git a/master/stdlib/Stdlib.Arith.PeanoNat.html b/master/stdlib/Stdlib.Arith.PeanoNat.html index 11a6c51483..78476a44f5 100644 --- a/master/stdlib/Stdlib.Arith.PeanoNat.html +++ b/master/stdlib/Stdlib.Arith.PeanoNat.html @@ -148,7 +148,7 @@

Library Stdlib.Arith.PeanoNat

-

Remaining constants not defined in Stdlib.Init.Nat

+

Remaining constants not defined in Stdlib.Init.Nat

@@ -166,7 +166,7 @@

Library Stdlib.Arith.PeanoNat

-

Basic specifications : pred add sub mul

+

Basic specifications : pred add sub mul

@@ -208,7 +208,7 @@

Library Stdlib.Arith.PeanoNat

-

Boolean comparisons

+

Boolean comparisons

@@ -240,7 +240,7 @@

Library Stdlib.Arith.PeanoNat

-

Decidability of equality over nat.

+

Decidability of equality over nat.

@@ -252,7 +252,7 @@

Library Stdlib.Arith.PeanoNat

-

Ternary comparison

+

Ternary comparison

@@ -281,7 +281,7 @@

Library Stdlib.Arith.PeanoNat

-

Minimum, maximum

+

Minimum, maximum

@@ -331,7 +331,7 @@

Library Stdlib.Arith.PeanoNat

-

Power

+

Power

@@ -349,7 +349,7 @@

Library Stdlib.Arith.PeanoNat

-

Square

+

Square

@@ -361,7 +361,7 @@

Library Stdlib.Arith.PeanoNat

-

Parity

+

Parity

@@ -405,7 +405,7 @@

Library Stdlib.Arith.PeanoNat

-

Division

+

Division

@@ -434,7 +434,7 @@

Library Stdlib.Arith.PeanoNat

-

Square root

+

Square root

@@ -458,7 +458,7 @@

Library Stdlib.Arith.PeanoNat

-

Logarithm

+

Logarithm

@@ -480,7 +480,7 @@

Library Stdlib.Arith.PeanoNat

-

Properties of iter

+

Properties of iter

@@ -532,7 +532,7 @@

Library Stdlib.Arith.PeanoNat

-

Gcd

+

Gcd

@@ -560,7 +560,7 @@

Library Stdlib.Arith.PeanoNat

-

Bitwise operations

+

Bitwise operations

diff --git a/master/stdlib/Stdlib.Bool.Bool.html b/master/stdlib/Stdlib.Bool.Bool.html index 644421fa51..5edac25b66 100644 --- a/master/stdlib/Stdlib.Bool.Bool.html +++ b/master/stdlib/Stdlib.Bool.Bool.html @@ -89,7 +89,7 @@

Library Stdlib.Bool.Bool

-

Decidability

+

Decidability

@@ -101,7 +101,7 @@

Library Stdlib.Bool.Bool

-

Discrimination

+

Discrimination

@@ -137,7 +137,7 @@

Library Stdlib.Bool.Bool

-

Order on booleans

+

Order on booleans

@@ -179,7 +179,7 @@

Library Stdlib.Bool.Bool

-

Equality

+

Equality

@@ -222,7 +222,7 @@

Library Stdlib.Bool.Bool

-

A synonym of if on bool

+

A synonym of if on bool

@@ -241,7 +241,7 @@

Library Stdlib.Bool.Bool

-

De Morgan laws

+

De Morgan laws

@@ -256,7 +256,7 @@

Library Stdlib.Bool.Bool

-

Properties of negb

+

Properties of negb

@@ -298,7 +298,7 @@

Library Stdlib.Bool.Bool

-

Properties of orb

+

Properties of orb

@@ -426,7 +426,7 @@

Library Stdlib.Bool.Bool

-

Properties of andb

+

Properties of andb

@@ -543,7 +543,7 @@

Library Stdlib.Bool.Bool

-

Properties mixing andb and orb

+

Properties mixing andb and orb

@@ -593,7 +593,7 @@

Library Stdlib.Bool.Bool

-

Properties of implb

+

Properties of implb

@@ -647,7 +647,7 @@

Library Stdlib.Bool.Bool

-

Properties of xorb

+

Properties of xorb

@@ -809,7 +809,7 @@

Library Stdlib.Bool.Bool

-

Reflection of bool into Prop

+

Reflection of bool into Prop

@@ -923,7 +923,7 @@

Library Stdlib.Bool.Bool

-

Alternative versions of andb and orb

+

Alternative versions of andb and orb

with lazy behavior (for vm_compute)
@@ -951,7 +951,7 @@

Library Stdlib.Bool.Bool

-

Reflect: a specialized inductive type for

+

Reflect: a specialized inductive type for

relating propositions and booleans, as popularized by the Ssreflect library. diff --git a/master/stdlib/Stdlib.Bool.BoolOrder.html b/master/stdlib/Stdlib.Bool.BoolOrder.html index 91dd601d0f..372fcf3960 100644 --- a/master/stdlib/Stdlib.Bool.BoolOrder.html +++ b/master/stdlib/Stdlib.Bool.BoolOrder.html @@ -65,7 +65,7 @@

Library Stdlib.Bool.BoolOrder

-

Order le

+

Order le

@@ -91,7 +91,7 @@

Library Stdlib.Bool.BoolOrder

-

Strict order lt

+

Strict order lt

@@ -126,7 +126,7 @@

Library Stdlib.Bool.BoolOrder

-

Order structures

+

Order structures

diff --git a/master/stdlib/Stdlib.Classes.CEquivalence.html b/master/stdlib/Stdlib.Classes.CEquivalence.html index 8c8e12b16f..890dd540c0 100644 --- a/master/stdlib/Stdlib.Classes.CEquivalence.html +++ b/master/stdlib/Stdlib.Classes.CEquivalence.html @@ -48,7 +48,7 @@

Library Stdlib.Classes.CEquivalence

-

Typeclass-based setoids. Definitions on Equivalence.

+

Typeclass-based setoids. Definitions on Equivalence.

diff --git a/master/stdlib/Stdlib.Classes.DecidableClass.html b/master/stdlib/Stdlib.Classes.DecidableClass.html index 0f7055266c..ecf3963026 100644 --- a/master/stdlib/Stdlib.Classes.DecidableClass.html +++ b/master/stdlib/Stdlib.Classes.DecidableClass.html @@ -48,7 +48,7 @@

Library Stdlib.Classes.DecidableClass

-

A typeclass to ease the handling of decidable properties.

+

A typeclass to ease the handling of decidable properties.

diff --git a/master/stdlib/Stdlib.Classes.EquivDec.html b/master/stdlib/Stdlib.Classes.EquivDec.html index 4d543bec04..ecb7c5819f 100644 --- a/master/stdlib/Stdlib.Classes.EquivDec.html +++ b/master/stdlib/Stdlib.Classes.EquivDec.html @@ -48,7 +48,7 @@

Library Stdlib.Classes.EquivDec

-

Decidable equivalences.

+

Decidable equivalences.

diff --git a/master/stdlib/Stdlib.Classes.Morphisms_Relations.html b/master/stdlib/Stdlib.Classes.Morphisms_Relations.html index 9170e1ba06..d3effadfa2 100644 --- a/master/stdlib/Stdlib.Classes.Morphisms_Relations.html +++ b/master/stdlib/Stdlib.Classes.Morphisms_Relations.html @@ -48,7 +48,7 @@

Library Stdlib.Classes.Morphisms_Relations

-

Morphism instances for relations.

+

Morphism instances for relations.

diff --git a/master/stdlib/Stdlib.Classes.RelationPairs.html b/master/stdlib/Stdlib.Classes.RelationPairs.html index 3f321f31b7..6ad6a472da 100644 --- a/master/stdlib/Stdlib.Classes.RelationPairs.html +++ b/master/stdlib/Stdlib.Classes.RelationPairs.html @@ -48,7 +48,7 @@

Library Stdlib.Classes.RelationPairs

-

Relations over pairs

+

Relations over pairs

diff --git a/master/stdlib/Stdlib.Classes.SetoidClass.html b/master/stdlib/Stdlib.Classes.SetoidClass.html index 9a6fc4df4a..fec32facb1 100644 --- a/master/stdlib/Stdlib.Classes.SetoidClass.html +++ b/master/stdlib/Stdlib.Classes.SetoidClass.html @@ -48,7 +48,7 @@

Library Stdlib.Classes.SetoidClass

-

Typeclass-based setoids, tactics and standard instances.

+

Typeclass-based setoids, tactics and standard instances.

diff --git a/master/stdlib/Stdlib.Classes.SetoidDec.html b/master/stdlib/Stdlib.Classes.SetoidDec.html index 2f08f41ee1..82c3b37a97 100644 --- a/master/stdlib/Stdlib.Classes.SetoidDec.html +++ b/master/stdlib/Stdlib.Classes.SetoidDec.html @@ -48,7 +48,7 @@

Library Stdlib.Classes.SetoidDec

-

Decidable setoid equality theory.

+

Decidable setoid equality theory.

diff --git a/master/stdlib/Stdlib.FSets.FMapAVL.html b/master/stdlib/Stdlib.FSets.FMapAVL.html index 25ee22cade..12317fe5cc 100644 --- a/master/stdlib/Stdlib.FSets.FMapAVL.html +++ b/master/stdlib/Stdlib.FSets.FMapAVL.html @@ -50,7 +50,7 @@

Library Stdlib.FSets.FMapAVL

-

FMapAVL

+

FMapAVL

@@ -87,7 +87,7 @@

Library Stdlib.FSets.FMapAVL

-

The Raw functor

+

The Raw functor

@@ -113,11 +113,11 @@

Library Stdlib.FSets.FMapAVL

-

Trees

+

Trees

-

Trees

+

Trees

@@ -149,7 +149,7 @@

Library Stdlib.FSets.FMapAVL

-

Basic functions on trees: height and cardinal

+

Basic functions on trees: height and cardinal

@@ -172,7 +172,7 @@

Library Stdlib.FSets.FMapAVL

-

Empty Map

+

Empty Map

@@ -184,7 +184,7 @@

Library Stdlib.FSets.FMapAVL

-

Emptyness test

+

Emptyness test

@@ -196,7 +196,7 @@

Library Stdlib.FSets.FMapAVL

-

Membership

+

Membership

@@ -231,7 +231,7 @@

Library Stdlib.FSets.FMapAVL

-

Helper functions

+

Helper functions

@@ -294,7 +294,7 @@

Library Stdlib.FSets.FMapAVL

-

Insertion

+

Insertion

@@ -315,7 +315,7 @@

Library Stdlib.FSets.FMapAVL

-

Extraction of minimum binding

+

Extraction of minimum binding

@@ -340,7 +340,7 @@

Library Stdlib.FSets.FMapAVL

-

Merging two trees

+

Merging two trees

@@ -366,7 +366,7 @@

Library Stdlib.FSets.FMapAVL

-

Deletion

+

Deletion

@@ -386,7 +386,7 @@

Library Stdlib.FSets.FMapAVL

-

join

+

join

@@ -415,7 +415,7 @@

Library Stdlib.FSets.FMapAVL

-

Splitting

+

Splitting

@@ -455,7 +455,7 @@

Library Stdlib.FSets.FMapAVL

-

Concatenation

+

Concatenation

@@ -479,7 +479,7 @@

Library Stdlib.FSets.FMapAVL

-

Elements

+

Elements

@@ -510,7 +510,7 @@

Library Stdlib.FSets.FMapAVL

-

Fold

+

Fold

@@ -526,7 +526,7 @@

Library Stdlib.FSets.FMapAVL

-

Comparison

+

Comparison

@@ -538,7 +538,7 @@

Library Stdlib.FSets.FMapAVL

-

Enumeration of the elements of a tree

+

Enumeration of the elements of a tree

@@ -637,7 +637,7 @@

Library Stdlib.FSets.FMapAVL

-

Map

+

Map

@@ -662,7 +662,7 @@

Library Stdlib.FSets.FMapAVL

-

Map with removal

+

Map with removal

@@ -683,7 +683,7 @@

Library Stdlib.FSets.FMapAVL

-

Optimized map2

+

Optimized map2

@@ -739,7 +739,7 @@

Library Stdlib.FSets.FMapAVL

-

Map2

+

Map2

@@ -769,7 +769,7 @@

Library Stdlib.FSets.FMapAVL

-

Invariants

+

Invariants

@@ -782,7 +782,7 @@

Library Stdlib.FSets.FMapAVL

-

Occurrence in a tree

+

Occurrence in a tree

@@ -812,7 +812,7 @@

Library Stdlib.FSets.FMapAVL

-

Binary search trees

+

Binary search trees

@@ -846,7 +846,7 @@

Library Stdlib.FSets.FMapAVL

-

Correctness proofs, isolated in a sub-module

+

Correctness proofs, isolated in a sub-module

@@ -1138,7 +1138,7 @@

Library Stdlib.FSets.FMapAVL

-

Automation and dedicated tactics.

+

Automation and dedicated tactics.

@@ -1249,7 +1249,7 @@

Library Stdlib.FSets.FMapAVL

-

Basic results about MapsTo, In, lt_tree, gt_tree, height

+

Basic results about MapsTo, In, lt_tree, gt_tree, height

@@ -1353,7 +1353,7 @@

Library Stdlib.FSets.FMapAVL

-

Empty map

+

Empty map

@@ -1371,7 +1371,7 @@

Library Stdlib.FSets.FMapAVL

-

Emptyness test

+

Emptyness test

@@ -1386,7 +1386,7 @@

Library Stdlib.FSets.FMapAVL

-

Membership

+

Membership

@@ -1440,7 +1440,7 @@

Library Stdlib.FSets.FMapAVL

-

Helper functions

+

Helper functions

@@ -1480,7 +1480,7 @@

Library Stdlib.FSets.FMapAVL

-

Insertion

+

Insertion

@@ -1514,7 +1514,7 @@

Library Stdlib.FSets.FMapAVL

-

Extraction of minimum binding

+

Extraction of minimum binding

@@ -1557,7 +1557,7 @@

Library Stdlib.FSets.FMapAVL

-

Merging two trees

+

Merging two trees

@@ -1579,7 +1579,7 @@

Library Stdlib.FSets.FMapAVL

-

Deletion

+

Deletion

@@ -1606,7 +1606,7 @@

Library Stdlib.FSets.FMapAVL

-

join

+

join

@@ -1630,7 +1630,7 @@

Library Stdlib.FSets.FMapAVL

-

split

+

split

@@ -1669,7 +1669,7 @@

Library Stdlib.FSets.FMapAVL

-

Concatenation

+

Concatenation

@@ -1695,7 +1695,7 @@

Library Stdlib.FSets.FMapAVL

-

Elements

+

Elements

@@ -1749,7 +1749,7 @@

Library Stdlib.FSets.FMapAVL

-

Fold

+

Fold

@@ -1777,7 +1777,7 @@

Library Stdlib.FSets.FMapAVL

-

Comparison

+

Comparison

@@ -2004,7 +2004,7 @@

Library Stdlib.FSets.FMapAVL

-

Encapsulation

+

Encapsulation

diff --git a/master/stdlib/Stdlib.FSets.FMapFacts.html b/master/stdlib/Stdlib.FSets.FMapFacts.html index ba3d3b13c6..54c36833bd 100644 --- a/master/stdlib/Stdlib.FSets.FMapFacts.html +++ b/master/stdlib/Stdlib.FSets.FMapFacts.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FMapFacts

-

Finite maps library

+

Finite maps library

@@ -75,7 +75,7 @@

Library Stdlib.FSets.FMapFacts

-

Facts about weak maps

+

Facts about weak maps

@@ -102,7 +102,7 @@

Library Stdlib.FSets.FMapFacts

-

Specifications written using equivalences

+

Specifications written using equivalences

@@ -259,7 +259,7 @@

Library Stdlib.FSets.FMapFacts

-

Specifications written using boolean predicates

+

Specifications written using boolean predicates

@@ -398,7 +398,7 @@

Library Stdlib.FSets.FMapFacts

-

Relations between Equal, Equiv and Equivb.

+

Relations between Equal, Equiv and Equivb.

@@ -460,7 +460,7 @@

Library Stdlib.FSets.FMapFacts

-

Equal is a setoid equality.

+

Equal is a setoid equality.

@@ -544,7 +544,7 @@

Library Stdlib.FSets.FMapFacts

-

Same facts for self-contained weak sets and for full maps

+

Same facts for self-contained weak sets and for full maps

@@ -557,7 +557,7 @@

Library Stdlib.FSets.FMapFacts

-

Additional Properties for weak maps

+

Additional Properties for weak maps

@@ -617,7 +617,7 @@

Library Stdlib.FSets.FMapFacts

-

Elements

+

Elements

@@ -632,7 +632,7 @@

Library Stdlib.FSets.FMapFacts

-

Conversions between maps and association lists.

+

Conversions between maps and association lists.

@@ -669,7 +669,7 @@

Library Stdlib.FSets.FMapFacts

-

Fold

+

Fold

@@ -685,7 +685,7 @@

Library Stdlib.FSets.FMapFacts

-

Induction principles about fold contributed by S. Lescuyer

+

Induction principles about fold contributed by S. Lescuyer

@@ -798,7 +798,7 @@

Library Stdlib.FSets.FMapFacts

-

Additional properties of fold

+

Additional properties of fold

@@ -893,7 +893,7 @@

Library Stdlib.FSets.FMapFacts

-

Cardinal

+

Cardinal

@@ -939,7 +939,7 @@

Library Stdlib.FSets.FMapFacts

-

Additional notions over maps

+

Additional notions over maps

@@ -957,7 +957,7 @@

Library Stdlib.FSets.FMapFacts

-

Emulation of some functions lacking in the interface

+

Emulation of some functions lacking in the interface

@@ -1184,7 +1184,7 @@

Library Stdlib.FSets.FMapFacts

-

Same Properties for self-contained weak maps and for full maps

+

Same Properties for self-contained weak maps and for full maps

@@ -1197,7 +1197,7 @@

Library Stdlib.FSets.FMapFacts

-

Properties specific to maps with ordered keys

+

Properties specific to maps with ordered keys

diff --git a/master/stdlib/Stdlib.FSets.FMapFullAVL.html b/master/stdlib/Stdlib.FSets.FMapFullAVL.html index 3d02336c3e..26c45256fb 100644 --- a/master/stdlib/Stdlib.FSets.FMapFullAVL.html +++ b/master/stdlib/Stdlib.FSets.FMapFullAVL.html @@ -50,7 +50,7 @@

Library Stdlib.FSets.FMapFullAVL

-

FMapFullAVL

+

FMapFullAVL

@@ -119,7 +119,7 @@

Library Stdlib.FSets.FMapFullAVL

-

AVL trees

+

AVL trees

@@ -143,7 +143,7 @@

Library Stdlib.FSets.FMapFullAVL

-

Automation and dedicated tactics about avl.

+

Automation and dedicated tactics about avl.

@@ -181,7 +181,7 @@

Library Stdlib.FSets.FMapFullAVL

-

Basic results about avl, height

+

Basic results about avl, height

@@ -209,7 +209,7 @@

Library Stdlib.FSets.FMapFullAVL

-

Empty map

+

Empty map

@@ -221,7 +221,7 @@

Library Stdlib.FSets.FMapFullAVL

-

Helper functions

+

Helper functions

@@ -261,7 +261,7 @@

Library Stdlib.FSets.FMapFullAVL

-

Insertion

+

Insertion

@@ -279,7 +279,7 @@

Library Stdlib.FSets.FMapFullAVL

-

Extraction of minimum binding

+

Extraction of minimum binding

@@ -297,7 +297,7 @@

Library Stdlib.FSets.FMapFullAVL

-

Merging two trees

+

Merging two trees

@@ -316,7 +316,7 @@

Library Stdlib.FSets.FMapFullAVL

-

Deletion

+

Deletion

@@ -334,7 +334,7 @@

Library Stdlib.FSets.FMapFullAVL

-

Join

+

Join

@@ -453,7 +453,7 @@

Library Stdlib.FSets.FMapFullAVL

-

Encapsulation

+

Encapsulation

@@ -652,7 +652,7 @@

Library Stdlib.FSets.FMapFullAVL

-

As comparison function, we propose here a non-structural

+

As comparison function, we propose here a non-structural

version faithful to the code of Ocaml's Map library, instead of the structural version of FMapAVL diff --git a/master/stdlib/Stdlib.FSets.FMapInterface.html b/master/stdlib/Stdlib.FSets.FMapInterface.html index 43feb09942..2c3dc3a7aa 100644 --- a/master/stdlib/Stdlib.FSets.FMapInterface.html +++ b/master/stdlib/Stdlib.FSets.FMapInterface.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FMapInterface

-

Finite map library

+

Finite map library

@@ -134,7 +134,7 @@

Library Stdlib.FSets.FMapInterface

-

Weak signature for maps

+

Weak signature for maps

@@ -555,7 +555,7 @@

Library Stdlib.FSets.FMapInterface

-

Static signature for Weak Maps

+

Static signature for Weak Maps

@@ -574,7 +574,7 @@

Library Stdlib.FSets.FMapInterface

-

Maps on ordered keys, functorial signature

+

Maps on ordered keys, functorial signature

@@ -601,7 +601,7 @@

Library Stdlib.FSets.FMapInterface

-

Maps on ordered keys, self-contained signature

+

Maps on ordered keys, self-contained signature

@@ -616,7 +616,7 @@

Library Stdlib.FSets.FMapInterface

-

Maps with ordering both on keys and datas

+

Maps with ordering both on keys and datas

diff --git a/master/stdlib/Stdlib.FSets.FMapList.html b/master/stdlib/Stdlib.FSets.FMapList.html index fbdb062837..c84781e8aa 100644 --- a/master/stdlib/Stdlib.FSets.FMapList.html +++ b/master/stdlib/Stdlib.FSets.FMapList.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FMapList

-

Finite map library

+

Finite map library

@@ -92,7 +92,7 @@

Library Stdlib.FSets.FMapList

-

empty

+

empty

@@ -115,7 +115,7 @@

Library Stdlib.FSets.FMapList

-

is_empty

+

is_empty

@@ -133,7 +133,7 @@

Library Stdlib.FSets.FMapList

-

mem

+

mem

@@ -160,7 +160,7 @@

Library Stdlib.FSets.FMapList

-

find

+

find

@@ -187,7 +187,7 @@

Library Stdlib.FSets.FMapList

-

add

+

add

@@ -228,7 +228,7 @@

Library Stdlib.FSets.FMapList

-

remove

+

remove

@@ -269,7 +269,7 @@

Library Stdlib.FSets.FMapList

-

elements

+

elements

@@ -295,7 +295,7 @@

Library Stdlib.FSets.FMapList

-

fold

+

fold

@@ -315,7 +315,7 @@

Library Stdlib.FSets.FMapList

-

equal

+

equal

@@ -365,7 +365,7 @@

Library Stdlib.FSets.FMapList

-

map and mapi

+

map and mapi

@@ -458,7 +458,7 @@

Library Stdlib.FSets.FMapList

-

map2

+

map2

diff --git a/master/stdlib/Stdlib.FSets.FMapPositive.html b/master/stdlib/Stdlib.FSets.FMapPositive.html index fd9a863e86..1b20fd2891 100644 --- a/master/stdlib/Stdlib.FSets.FMapPositive.html +++ b/master/stdlib/Stdlib.FSets.FMapPositive.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FMapPositive

-

FMapPositive : an implementation of FMapInterface for positive keys.

+

FMapPositive : an implementation of FMapInterface for positive keys.

diff --git a/master/stdlib/Stdlib.FSets.FMapWeakList.html b/master/stdlib/Stdlib.FSets.FMapWeakList.html index 4197d88392..8c4a8def97 100644 --- a/master/stdlib/Stdlib.FSets.FMapWeakList.html +++ b/master/stdlib/Stdlib.FSets.FMapWeakList.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FMapWeakList

-

Finite map library

+

Finite map library

@@ -90,7 +90,7 @@

Library Stdlib.FSets.FMapWeakList

-

empty

+

empty

@@ -115,7 +115,7 @@

Library Stdlib.FSets.FMapWeakList

-

is_empty

+

is_empty

@@ -133,7 +133,7 @@

Library Stdlib.FSets.FMapWeakList

-

mem

+

mem

@@ -155,7 +155,7 @@

Library Stdlib.FSets.FMapWeakList

-

find

+

find

@@ -184,7 +184,7 @@

Library Stdlib.FSets.FMapWeakList

-

add

+

add

@@ -228,7 +228,7 @@

Library Stdlib.FSets.FMapWeakList

-

remove

+

remove

@@ -262,7 +262,7 @@

Library Stdlib.FSets.FMapWeakList

-

elements

+

elements

@@ -283,7 +283,7 @@

Library Stdlib.FSets.FMapWeakList

-

fold

+

fold

@@ -303,7 +303,7 @@

Library Stdlib.FSets.FMapWeakList

-

equal

+

equal

@@ -364,7 +364,7 @@

Library Stdlib.FSets.FMapWeakList

-

map and mapi

+

map and mapi

diff --git a/master/stdlib/Stdlib.FSets.FSetAVL.html b/master/stdlib/Stdlib.FSets.FSetAVL.html index 852f2563ec..759b6336fd 100644 --- a/master/stdlib/Stdlib.FSets.FSetAVL.html +++ b/master/stdlib/Stdlib.FSets.FSetAVL.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FSetAVL

-

FSetAVL : Implementation of FSetInterface via AVL trees

+

FSetAVL : Implementation of FSetInterface via AVL trees

diff --git a/master/stdlib/Stdlib.FSets.FSetBridge.html b/master/stdlib/Stdlib.FSets.FSetBridge.html index ed37302cb2..0ed157a221 100644 --- a/master/stdlib/Stdlib.FSets.FSetBridge.html +++ b/master/stdlib/Stdlib.FSets.FSetBridge.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FSetBridge

-

Finite sets library

+

Finite sets library

@@ -65,7 +65,7 @@

Library Stdlib.FSets.FSetBridge

-

From non-dependent signature S to dependent signature Sdep.

+

From non-dependent signature S to dependent signature Sdep.

@@ -243,7 +243,7 @@

Library Stdlib.FSets.FSetBridge

-

From dependent signature Sdep to non-dependent signature S.

+

From dependent signature Sdep to non-dependent signature S.

diff --git a/master/stdlib/Stdlib.FSets.FSetCompat.html b/master/stdlib/Stdlib.FSets.FSetCompat.html index f927245e96..819df14c1a 100644 --- a/master/stdlib/Stdlib.FSets.FSetCompat.html +++ b/master/stdlib/Stdlib.FSets.FSetCompat.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FSetCompat

-

Compatibility functors between FSetInterface and MSetInterface.

+

Compatibility functors between FSetInterface and MSetInterface.

@@ -64,7 +64,7 @@

Library Stdlib.FSets.FSetCompat

-

From new Weak Sets to old ones

+

From new Weak Sets to old ones

@@ -227,7 +227,7 @@

Library Stdlib.FSets.FSetCompat

-

From new Sets to new ones

+

From new Sets to new ones

@@ -285,7 +285,7 @@

Library Stdlib.FSets.FSetCompat

-

From old Weak Sets to new ones.

+

From old Weak Sets to new ones.

@@ -428,7 +428,7 @@

Library Stdlib.FSets.FSetCompat

-

From old Sets to new ones.

+

From old Sets to new ones.

diff --git a/master/stdlib/Stdlib.FSets.FSetDecide.html b/master/stdlib/Stdlib.FSets.FSetDecide.html index 60848b967e..40ce0a939e 100644 --- a/master/stdlib/Stdlib.FSets.FSetDecide.html +++ b/master/stdlib/Stdlib.FSets.FSetDecide.html @@ -74,7 +74,7 @@

Library Stdlib.FSets.FSetDecide

-

Overview

+

Overview

This functor defines the tactic fsetdec, which will solve any valid goal of the form @@ -180,7 +180,7 @@

Library Stdlib.FSets.FSetDecide

-

Facts and Tactics for Propositional Logic

+

Facts and Tactics for Propositional Logic

These lemmas and tactics are in a module so that they do not affect the namespace if you import the enclosing @@ -195,18 +195,18 @@

Library Stdlib.FSets.FSetDecide

-

Lemmas and Tactics About Decidable Propositions

+

Lemmas and Tactics About Decidable Propositions

-

Propositional Equivalences Involving Negation

+

Propositional Equivalences Involving Negation

These are all written with the unfolded form of negation, since I am not sure if setoid rewriting will always perform conversion.
-

Tactics for Negations

+

Tactics for Negations

@@ -457,7 +457,7 @@

Library Stdlib.FSets.FSetDecide

-

Auxiliary Tactics

+

Auxiliary Tactics

Again, these lemmas and tactics are in a module so that they do not affect the namespace if you import the @@ -470,7 +470,7 @@

Library Stdlib.FSets.FSetDecide

-

Generic Tactics

+

Generic Tactics

We begin by defining a few generic, useful tactics.
@@ -587,7 +587,7 @@

Library Stdlib.FSets.FSetDecide

-

Discarding Irrelevant Hypotheses

+

Discarding Irrelevant Hypotheses

We will want to clear the context of any non-FSet-related hypotheses in order to increase the @@ -667,7 +667,7 @@

Library Stdlib.FSets.FSetDecide

-

Turning Set Operators into Propositional Connectives

+

Turning Set Operators into Propositional Connectives

The lemmas from FSetFacts will be used to break down set operations into propositional formulas built over @@ -693,7 +693,7 @@

Library Stdlib.FSets.FSetDecide

-

Decidability of FSet Propositions

+

Decidability of FSet Propositions

@@ -728,7 +728,7 @@

Library Stdlib.FSets.FSetDecide

-

Normalizing Propositions About Equality

+

Normalizing Propositions About Equality

We have to deal with the fact that E.eq may be convertible with Coq's equality. Thus, we will find the @@ -811,7 +811,7 @@

Library Stdlib.FSets.FSetDecide

-

Considering Decidability of Base Propositions

+

Considering Decidability of Base Propositions

This tactic adds assertions about the decidability of E.eq and In to the context. This is necessary for @@ -860,7 +860,7 @@

Library Stdlib.FSets.FSetDecide

-

Handling Empty, Subset, and Equal

+

Handling Empty, Subset, and Equal

This tactic instantiates universally quantified hypotheses (which arise from the unfolding of Empty, @@ -908,7 +908,7 @@

Library Stdlib.FSets.FSetDecide

-

The Core fsetdec Auxiliary Tactics

+

The Core fsetdec Auxiliary Tactics

@@ -950,7 +950,7 @@

Library Stdlib.FSets.FSetDecide

-

The fsetdec Tactic

+

The fsetdec Tactic

Here is the top-level tactic (the only one intended for clients of this library). It's specification is given at @@ -1064,7 +1064,7 @@

Library Stdlib.FSets.FSetDecide

-

Examples

+

Examples

diff --git a/master/stdlib/Stdlib.FSets.FSetEqProperties.html b/master/stdlib/Stdlib.FSets.FSetEqProperties.html index 26dc68e223..41fb57af56 100644 --- a/master/stdlib/Stdlib.FSets.FSetEqProperties.html +++ b/master/stdlib/Stdlib.FSets.FSetEqProperties.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FSetEqProperties

-

Finite sets library

+

Finite sets library

diff --git a/master/stdlib/Stdlib.FSets.FSetFacts.html b/master/stdlib/Stdlib.FSets.FSetFacts.html index 2e7e53e577..cc9a91e830 100644 --- a/master/stdlib/Stdlib.FSets.FSetFacts.html +++ b/master/stdlib/Stdlib.FSets.FSetFacts.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FSetFacts

-

Finite sets library

+

Finite sets library

@@ -84,7 +84,7 @@

Library Stdlib.FSets.FSetFacts

-

Specifications written using equivalences

+

Specifications written using equivalences

@@ -178,7 +178,7 @@

Library Stdlib.FSets.FSetFacts

-

Specifications written using boolean predicates

+

Specifications written using boolean predicates

@@ -242,7 +242,7 @@

Library Stdlib.FSets.FSetFacts

-

E.eq and Equal are setoid equalities

+

E.eq and Equal are setoid equalities

diff --git a/master/stdlib/Stdlib.FSets.FSetInterface.html b/master/stdlib/Stdlib.FSets.FSetInterface.html index 426ffd0d29..1eb231e7ae 100644 --- a/master/stdlib/Stdlib.FSets.FSetInterface.html +++ b/master/stdlib/Stdlib.FSets.FSetInterface.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FSetInterface

-

Finite set library

+

Finite set library

@@ -104,7 +104,7 @@

Library Stdlib.FSets.FSetInterface

-

Non-dependent signatures

+

Non-dependent signatures

@@ -113,7 +113,7 @@

Library Stdlib.FSets.FSetInterface

programs together with axioms
-

Functorial signature for weak sets

+

Functorial signature for weak sets

@@ -618,7 +618,7 @@

Library Stdlib.FSets.FSetInterface

-

Static signature for weak sets

+

Static signature for weak sets

@@ -638,7 +638,7 @@

Library Stdlib.FSets.FSetInterface

-

Functorial signature for sets on ordered elements

+

Functorial signature for sets on ordered elements

@@ -765,7 +765,7 @@

Library Stdlib.FSets.FSetInterface

-

Static signature for sets on ordered elements

+

Static signature for sets on ordered elements

@@ -785,7 +785,7 @@

Library Stdlib.FSets.FSetInterface

-

Some subtyping tests

+

Some subtyping tests

 WSfun ---> WS
@@ -802,7 +802,7 @@ 
Library Stdlib.FSets.FSetInterface

 
 
 

 
-
Dependent signature

+
Dependent signature

 
 
 
 

diff --git a/master/stdlib/Stdlib.FSets.FSetList.html b/master/stdlib/Stdlib.FSets.FSetList.html
index c57f2be5f1..1ed974abb6 100644
--- a/master/stdlib/Stdlib.FSets.FSetList.html
+++ b/master/stdlib/Stdlib.FSets.FSetList.html
@@ -48,7 +48,7 @@ 
Library Stdlib.FSets.FSetList
-

Finite sets library

+

Finite sets library

diff --git a/master/stdlib/Stdlib.FSets.FSetProperties.html b/master/stdlib/Stdlib.FSets.FSetProperties.html index b81eeceb1c..25c32ef5ee 100644 --- a/master/stdlib/Stdlib.FSets.FSetProperties.html +++ b/master/stdlib/Stdlib.FSets.FSetProperties.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FSetProperties

-

Finite sets library

+

Finite sets library

@@ -340,7 +340,7 @@

Library Stdlib.FSets.FSetProperties

-

Properties of elements

+

Properties of elements

@@ -355,7 +355,7 @@

Library Stdlib.FSets.FSetProperties

-

Conversions between lists and sets

+

Conversions between lists and sets

@@ -379,7 +379,7 @@

Library Stdlib.FSets.FSetProperties

-

Fold

+

Fold

@@ -407,7 +407,7 @@

Library Stdlib.FSets.FSetProperties

-

Induction principles for fold (contributed by S. Lescuyer)

+

Induction principles for fold (contributed by S. Lescuyer)

@@ -513,7 +513,7 @@

Library Stdlib.FSets.FSetProperties

-

Alternative (weaker) specifications for fold

+

Alternative (weaker) specifications for fold

@@ -585,7 +585,7 @@

Library Stdlib.FSets.FSetProperties

-

Fold is a morphism

+

Fold is a morphism

@@ -602,7 +602,7 @@

Library Stdlib.FSets.FSetProperties

-

Fold and other set operators

+

Fold and other set operators

@@ -654,11 +654,11 @@

Library Stdlib.FSets.FSetProperties

-

Cardinal

+

Cardinal

-

Characterization of cardinal in terms of fold

+

Characterization of cardinal in terms of fold

@@ -670,7 +670,7 @@

Library Stdlib.FSets.FSetProperties

-

Old specifications for cardinal.

+

Old specifications for cardinal.

@@ -693,7 +693,7 @@

Library Stdlib.FSets.FSetProperties

-

Cardinal and (non-)emptiness

+

Cardinal and (non-)emptiness

@@ -718,7 +718,7 @@

Library Stdlib.FSets.FSetProperties

-

Cardinal is a morphism

+

Cardinal is a morphism

@@ -737,7 +737,7 @@

Library Stdlib.FSets.FSetProperties

-

Cardinal and set operators

+

Cardinal and set operators

diff --git a/master/stdlib/Stdlib.FSets.FSetToFiniteSet.html b/master/stdlib/Stdlib.FSets.FSetToFiniteSet.html index c36957c45b..0d26665329 100644 --- a/master/stdlib/Stdlib.FSets.FSetToFiniteSet.html +++ b/master/stdlib/Stdlib.FSets.FSetToFiniteSet.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FSetToFiniteSet

-

Finite sets library : conversion to old Finite_sets

+

Finite sets library : conversion to old Finite_sets

@@ -61,7 +61,7 @@

Library Stdlib.FSets.FSetToFiniteSet

-

Going from FSets with usual Leibniz equality

+

Going from FSets with usual Leibniz equality

to the good old Ensembles and Finite_sets theory.
diff --git a/master/stdlib/Stdlib.FSets.FSetWeakList.html b/master/stdlib/Stdlib.FSets.FSetWeakList.html index b6983f8e10..304982c970 100644 --- a/master/stdlib/Stdlib.FSets.FSetWeakList.html +++ b/master/stdlib/Stdlib.FSets.FSetWeakList.html @@ -48,7 +48,7 @@

Library Stdlib.FSets.FSetWeakList

-

Finite sets library

+

Finite sets library

diff --git a/master/stdlib/Stdlib.Floats.FloatLemmas.html b/master/stdlib/Stdlib.Floats.FloatLemmas.html index 5bc077109e..03e3fdce32 100644 --- a/master/stdlib/Stdlib.Floats.FloatLemmas.html +++ b/master/stdlib/Stdlib.Floats.FloatLemmas.html @@ -52,7 +52,7 @@

Library Stdlib.Floats.FloatLemmas

-

Support results involving frexp and ldexp

+

Support results involving frexp and ldexp

diff --git a/master/stdlib/Stdlib.Lists.List.html b/master/stdlib/Stdlib.Lists.List.html index cfcfd2bf11..3b8c9945ea 100644 --- a/master/stdlib/Stdlib.Lists.List.html +++ b/master/stdlib/Stdlib.Lists.List.html @@ -56,7 +56,7 @@

Library Stdlib.Lists.List

-

Basics: definition of polymorphic lists and some operations

+

Basics: definition of polymorphic lists and some operations

@@ -148,7 +148,7 @@

Library Stdlib.Lists.List

-

Generic facts

+

Generic facts

@@ -183,7 +183,7 @@

Library Stdlib.Lists.List

-

Head and tail

+

Head and tail

@@ -198,7 +198,7 @@

Library Stdlib.Lists.List

-

Facts about app

+

Facts about app

@@ -319,7 +319,7 @@

Library Stdlib.Lists.List

-

Facts about In

+

Facts about In

@@ -406,7 +406,7 @@

Library Stdlib.Lists.List

-

Operations on the elements of a list

+

Operations on the elements of a list

@@ -421,7 +421,7 @@

Library Stdlib.Lists.List

-

Nth element of a list

+

Nth element of a list

@@ -617,7 +617,7 @@

Library Stdlib.Lists.List

-

Last element of a list

+

Last element of a list

@@ -672,7 +672,7 @@

Library Stdlib.Lists.List

-

Remove

+

Remove

@@ -723,7 +723,7 @@

Library Stdlib.Lists.List

-

Counting occurrences of an element

+

Counting occurrences of an element

@@ -787,7 +787,7 @@

Library Stdlib.Lists.List

-

Manipulating whole lists

+

Manipulating whole lists

@@ -802,7 +802,7 @@

Library Stdlib.Lists.List

-

Reverse

+

Reverse

@@ -899,7 +899,7 @@

Library Stdlib.Lists.List

-

Concatenation

+

Concatenation

@@ -928,7 +928,7 @@

Library Stdlib.Lists.List

-

Decidable equality on lists

+

Decidable equality on lists

@@ -949,11 +949,11 @@

Library Stdlib.Lists.List

-

Applying functions to the elements of a list

+

Applying functions to the elements of a list

-

Map

+

Map

@@ -1041,7 +1041,7 @@

Library Stdlib.Lists.List

-

Flat Map

+

Flat Map

@@ -1223,7 +1223,7 @@

Library Stdlib.Lists.List

-

Boolean operations over lists

+

Boolean operations over lists

@@ -1390,7 +1390,7 @@

Library Stdlib.Lists.List

-

Further filtering facts

+

Further filtering facts

@@ -1484,7 +1484,7 @@

Library Stdlib.Lists.List

-

Operations on lists of pairs or lists of lists

+

Operations on lists of pairs or lists of lists

@@ -1616,11 +1616,11 @@

Library Stdlib.Lists.List

-

Miscellaneous operations on lists

+

Miscellaneous operations on lists

-

Length order of lists

+

Length order of lists

@@ -1664,7 +1664,7 @@

Library Stdlib.Lists.List

-

Set inclusion on list

+

Set inclusion on list

@@ -1754,7 +1754,7 @@

Library Stdlib.Lists.List

-

Cutting a list at some position

+

Cutting a list at some position

@@ -1919,7 +1919,7 @@

Library Stdlib.Lists.List

-

Combining pairs of lists of possibly-different lengths

+

Combining pairs of lists of possibly-different lengths

@@ -1951,7 +1951,7 @@

Library Stdlib.Lists.List

-

Predicate for List addition/removal (no need for decidability)

+

Predicate for List addition/removal (no need for decidability)

@@ -1995,7 +1995,7 @@

Library Stdlib.Lists.List

-

Lists without redundancy

+

Lists without redundancy

@@ -2147,7 +2147,7 @@

Library Stdlib.Lists.List

-

Sequence of natural numbers

+

Sequence of natural numbers

@@ -2199,7 +2199,7 @@

Library Stdlib.Lists.List

-

List comparison

+

List comparison

@@ -2336,7 +2336,7 @@

Library Stdlib.Lists.List

-

Existential and universal predicates over lists

+

Existential and universal predicates over lists

@@ -2869,7 +2869,7 @@

Library Stdlib.Lists.List

-

Inversion of predicates over lists based on head symbol

+

Inversion of predicates over lists based on head symbol

@@ -2897,7 +2897,7 @@

Library Stdlib.Lists.List

-

Exporting hints and tactics

+

Exporting hints and tactics

diff --git a/master/stdlib/Stdlib.Lists.SetoidList.html b/master/stdlib/Stdlib.Lists.SetoidList.html index 5bab0d0f9b..d9d0416e15 100644 --- a/master/stdlib/Stdlib.Lists.SetoidList.html +++ b/master/stdlib/Stdlib.Lists.SetoidList.html @@ -52,7 +52,7 @@

Library Stdlib.Lists.SetoidList

-

Logical relations over lists with respect to a setoid equality

+

Logical relations over lists with respect to a setoid equality

or ordering.
diff --git a/master/stdlib/Stdlib.Lists.StreamMemo.html b/master/stdlib/Stdlib.Lists.StreamMemo.html index 8018eef4ec..415d55ae66 100644 --- a/master/stdlib/Stdlib.Lists.StreamMemo.html +++ b/master/stdlib/Stdlib.Lists.StreamMemo.html @@ -52,7 +52,7 @@

Library Stdlib.Lists.StreamMemo

-

Memoization

+

Memoization

diff --git a/master/stdlib/Stdlib.Logic.ChoiceFacts.html b/master/stdlib/Stdlib.Logic.ChoiceFacts.html index eee74c80b1..bf80283a52 100644 --- a/master/stdlib/Stdlib.Logic.ChoiceFacts.html +++ b/master/stdlib/Stdlib.Logic.ChoiceFacts.html @@ -49,7 +49,7 @@

Library Stdlib.Logic.ChoiceFacts

Some facts and definitions concerning choice and description in - intuitionistic logic.

References:

+ intuitionistic logic.

References:

@@ -88,7 +88,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Definitions

+

Definitions

@@ -115,7 +115,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Constructive choice and description

+

Constructive choice and description

@@ -345,7 +345,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Weakly classical choice and description

+

Weakly classical choice and description

@@ -624,7 +624,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Table of contents

+

Table of contents

@@ -681,7 +681,7 @@

Library Stdlib.Logic.ChoiceFacts

-

AC_rel + AC! = AC_fun

+

AC_rel + AC! = AC_fun

@@ -721,7 +721,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Connection between the guarded, non guarded and omniscient choices

+

Connection between the guarded, non guarded and omniscient choices

@@ -732,7 +732,7 @@

Library Stdlib.Logic.ChoiceFacts

irrelevance)
-

AC_rel + PI -> GAC_rel and AC_rel + IGP -> GAC_rel and GAC_rel = OAC_rel

+

AC_rel + PI -> GAC_rel and AC_rel + IGP -> GAC_rel and GAC_rel = OAC_rel

@@ -770,7 +770,7 @@

Library Stdlib.Logic.ChoiceFacts

-

AC_fun + IGP = GAC_fun = OAC_fun = AC_fun + Drinker

+

AC_fun + IGP = GAC_fun = OAC_fun = AC_fun + Drinker

@@ -845,7 +845,7 @@

Library Stdlib.Logic.ChoiceFacts

-

D_iota -> ID_iota and D_epsilon <-> ID_epsilon + Drinker

+

D_iota -> ID_iota and D_epsilon <-> ID_epsilon + Drinker

@@ -889,7 +889,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Derivability of choice for decidable relations with well-ordered codomain

+

Derivability of choice for decidable relations with well-ordered codomain

@@ -922,11 +922,11 @@

Library Stdlib.Logic.ChoiceFacts

-

AC_fun = AC_fun_dep = AC_trunc

+

AC_fun = AC_fun_dep = AC_trunc

-

Choice on dependent and non dependent function types are equivalent

+

Choice on dependent and non dependent function types are equivalent

@@ -965,7 +965,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Functional choice and truncation choice are equivalent

+

Functional choice and truncation choice are equivalent

@@ -982,7 +982,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Reification of dependent and non dependent functional relation are equivalent

+

Reification of dependent and non dependent functional relation are equivalent

@@ -1017,11 +1017,11 @@

Library Stdlib.Logic.ChoiceFacts

-

Non contradiction of constructive descriptions wrt functional axioms of choice

+

Non contradiction of constructive descriptions wrt functional axioms of choice

-

Non contradiction of indefinite description

+

Non contradiction of indefinite description

@@ -1039,7 +1039,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Non contradiction of definite description

+

Non contradiction of definite description

@@ -1083,7 +1083,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Excluded-middle + definite description => computational excluded-middle

+

Excluded-middle + definite description => computational excluded-middle

@@ -1127,7 +1127,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Choice => Dependent choice => Countable choice

+

Choice => Dependent choice => Countable choice

@@ -1147,7 +1147,7 @@

Library Stdlib.Logic.ChoiceFacts

-

About the axiom of choice over setoids

+

About the axiom of choice over setoids

@@ -1159,7 +1159,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Consequences of the choice of a representative in an equivalence class

+

Consequences of the choice of a representative in an equivalence class

@@ -1180,7 +1180,7 @@

Library Stdlib.Logic.ChoiceFacts

-

This is a variant of Diaconescu and Goodman-Myhill theorems

+

This is a variant of Diaconescu and Goodman-Myhill theorems

@@ -1197,7 +1197,7 @@

Library Stdlib.Logic.ChoiceFacts

-

AC_fun_setoid = AC_fun_setoid_gen = AC_fun_setoid_simple

+

AC_fun_setoid = AC_fun_setoid_gen = AC_fun_setoid_simple

@@ -1230,7 +1230,7 @@

Library Stdlib.Logic.ChoiceFacts

-

AC_fun_setoid = AC! + AC_fun_repr

+

AC_fun_setoid = AC! + AC_fun_repr

@@ -1266,7 +1266,7 @@

Library Stdlib.Logic.ChoiceFacts

functional forms, SetoidFunctionalChoice seems strictly stronger
-

AC_fun_setoid = AC_fun + Ext_fun_repr + EM

+

AC_fun_setoid = AC_fun + Ext_fun_repr + EM

@@ -1278,7 +1278,7 @@

Library Stdlib.Logic.ChoiceFacts

-

This is the main theorem in [Carlström04]

+

This is the main theorem in [Carlström04]

@@ -1302,7 +1302,7 @@

Library Stdlib.Logic.ChoiceFacts

-

AC_fun_setoid = AC_fun + Ext_pred_repr + PI

+

AC_fun_setoid = AC_fun + Ext_pred_repr + PI

@@ -1326,7 +1326,7 @@

Library Stdlib.Logic.ChoiceFacts

-

Compatibility notations

+

Compatibility notations

diff --git a/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html b/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html index 001ba67426..ce4c2b6699 100644 --- a/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html +++ b/master/stdlib/Stdlib.Logic.ClassicalEpsilon.html @@ -132,7 +132,7 @@

Library Stdlib.Logic.ClassicalEpsilon

-

Weaker lemmas (compatibility lemmas)

+

Weaker lemmas (compatibility lemmas)

diff --git a/master/stdlib/Stdlib.Logic.ClassicalFacts.html b/master/stdlib/Stdlib.Logic.ClassicalFacts.html index 72c8f40ce6..7ab0754f6a 100644 --- a/master/stdlib/Stdlib.Logic.ClassicalFacts.html +++ b/master/stdlib/Stdlib.Logic.ClassicalFacts.html @@ -117,7 +117,7 @@

Library Stdlib.Logic.ClassicalFacts

-

Prop degeneracy = excluded-middle + prop extensionality

+

Prop degeneracy = excluded-middle + prop extensionality

@@ -193,11 +193,11 @@

Library Stdlib.Logic.ClassicalFacts

-

Classical logic and proof-irrelevance

+

Classical logic and proof-irrelevance

-

CC |- prop ext + A inhabited -> (A = A->A) -> A has fixpoint

+

CC |- prop ext + A inhabited -> (A = A->A) -> A has fixpoint

@@ -250,7 +250,7 @@

Library Stdlib.Logic.ClassicalFacts

-

CC |- prop_ext /\ dep elim on bool -> proof-irrelevance

+

CC |- prop_ext /\ dep elim on bool -> proof-irrelevance

@@ -347,7 +347,7 @@

Library Stdlib.Logic.ClassicalFacts

-

CIC |- prop. ext. -> proof-irrelevance

+

CIC |- prop. ext. -> proof-irrelevance

@@ -401,7 +401,7 @@

Library Stdlib.Logic.ClassicalFacts

-

CC |- excluded-middle + dep elim on bool -> proof-irrelevance

+

CC |- excluded-middle + dep elim on bool -> proof-irrelevance

@@ -573,7 +573,7 @@

Library Stdlib.Logic.ClassicalFacts

-

CIC |- excluded-middle -> proof-irrelevance

+

CIC |- excluded-middle -> proof-irrelevance

@@ -638,7 +638,7 @@

Library Stdlib.Logic.ClassicalFacts

-

Weak classical axioms

+

Weak classical axioms

@@ -660,7 +660,7 @@

Library Stdlib.Logic.ClassicalFacts

-

Weak excluded-middle

+

Weak excluded-middle

@@ -715,7 +715,7 @@

Library Stdlib.Logic.ClassicalFacts

-

Gödel-Dummett axiom

+

Gödel-Dummett axiom

@@ -786,7 +786,7 @@

Library Stdlib.Logic.ClassicalFacts

-

Independence of general premises and drinker's paradox

+

Independence of general premises and drinker's paradox

@@ -962,11 +962,11 @@

Library Stdlib.Logic.ClassicalFacts

-

Axioms equivalent to classical logic

+

Axioms equivalent to classical logic

-

Principle of unrestricted minimization

+

Principle of unrestricted minimization

@@ -1039,7 +1039,7 @@

Library Stdlib.Logic.ClassicalFacts

-

Choice of representatives in a partition of bool

+

Choice of representatives in a partition of bool

diff --git a/master/stdlib/Stdlib.Logic.Diaconescu.html b/master/stdlib/Stdlib.Logic.Diaconescu.html index 9454016b2f..8ec0fb4778 100644 --- a/master/stdlib/Stdlib.Logic.Diaconescu.html +++ b/master/stdlib/Stdlib.Logic.Diaconescu.html @@ -107,7 +107,7 @@

Library Stdlib.Logic.Diaconescu

-

Pred. Ext. + Rel. Axiom of Choice -> Excluded-Middle

+

Pred. Ext. + Rel. Axiom of Choice -> Excluded-Middle

@@ -203,7 +203,7 @@

Library Stdlib.Logic.Diaconescu

-

Proof-Irrel. + Rel. Axiom of Choice -> Excl.-Middle for Equality

+

Proof-Irrel. + Rel. Axiom of Choice -> Excl.-Middle for Equality

@@ -310,7 +310,7 @@

Library Stdlib.Logic.Diaconescu

-

Extensional Hilbert's epsilon description operator -> Excluded-Middle

+

Extensional Hilbert's epsilon description operator -> Excluded-Middle

diff --git a/master/stdlib/Stdlib.Logic.EqdepFacts.html b/master/stdlib/Stdlib.Logic.EqdepFacts.html index bd349727ff..7ec5df6f08 100644 --- a/master/stdlib/Stdlib.Logic.EqdepFacts.html +++ b/master/stdlib/Stdlib.Logic.EqdepFacts.html @@ -115,7 +115,7 @@

Library Stdlib.Logic.EqdepFacts

-

Definition of dependent equality and equivalence with equality of dependent pairs

+

Definition of dependent equality and equivalence with equality of dependent pairs

@@ -283,7 +283,7 @@

Library Stdlib.Logic.EqdepFacts

-

Eq_rect_eq <-> Eq_dep_eq <-> UIP <-> UIP_refl <-> K

+

Eq_rect_eq <-> Eq_dep_eq <-> UIP <-> UIP_refl <-> K

@@ -509,7 +509,7 @@

Library Stdlib.Logic.EqdepFacts

-

Definition of the functor that builds properties of dependent equalities assuming axiom eq_rect_eq

+

Definition of the functor that builds properties of dependent equalities assuming axiom eq_rect_eq

diff --git a/master/stdlib/Stdlib.Logic.Eqdep_dec.html b/master/stdlib/Stdlib.Logic.Eqdep_dec.html index 85d6cc56a5..7659d6e466 100644 --- a/master/stdlib/Stdlib.Logic.Eqdep_dec.html +++ b/master/stdlib/Stdlib.Logic.Eqdep_dec.html @@ -87,7 +87,7 @@

Library Stdlib.Logic.Eqdep_dec

-

Streicher's K and injectivity of dependent pair hold on decidable types

+

Streicher's K and injectivity of dependent pair hold on decidable types

@@ -245,7 +245,7 @@

Library Stdlib.Logic.Eqdep_dec

-

Definition of the functor that builds properties of dependent equalities on decidable sets in Type

+

Definition of the functor that builds properties of dependent equalities on decidable sets in Type

@@ -369,7 +369,7 @@

Library Stdlib.Logic.Eqdep_dec

-

Definition of the functor that builds properties of dependent equalities on decidable sets in Set

+

Definition of the functor that builds properties of dependent equalities on decidable sets in Set

diff --git a/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html b/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html index 37bff157cd..55847d769d 100644 --- a/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html +++ b/master/stdlib/Stdlib.Logic.ExtensionalityFacts.html @@ -104,7 +104,7 @@

Library Stdlib.Logic.ExtensionalityFacts

-

Definitions

+

Definitions

@@ -196,7 +196,7 @@

Library Stdlib.Logic.ExtensionalityFacts

-

Functional extensionality <-> Equality of projections from diagonal

+

Functional extensionality <-> Equality of projections from diagonal

@@ -208,7 +208,7 @@

Library Stdlib.Logic.ExtensionalityFacts

-

Functional extensionality <-> Unicity of bijection inverse

+

Functional extensionality <-> Unicity of bijection inverse

@@ -226,7 +226,7 @@

Library Stdlib.Logic.ExtensionalityFacts

-

Functional extensionality <-> Bijectivity of bijective composition

+

Functional extensionality <-> Bijectivity of bijective composition

diff --git a/master/stdlib/Stdlib.Logic.FinFun.html b/master/stdlib/Stdlib.Logic.FinFun.html index 8805a4f05a..ba6715e455 100644 --- a/master/stdlib/Stdlib.Logic.FinFun.html +++ b/master/stdlib/Stdlib.Logic.FinFun.html @@ -48,7 +48,7 @@

Library Stdlib.Logic.FinFun

-

Functions on finite domains

+

Functions on finite domains

diff --git a/master/stdlib/Stdlib.Logic.Hurkens.html b/master/stdlib/Stdlib.Logic.Hurkens.html index caf34a4cc9..0ff9ff8c14 100644 --- a/master/stdlib/Stdlib.Logic.Hurkens.html +++ b/master/stdlib/Stdlib.Logic.Hurkens.html @@ -175,7 +175,7 @@

Library Stdlib.Logic.Hurkens

-

A modular proof of Hurkens's paradox.

+

A modular proof of Hurkens's paradox.

@@ -202,7 +202,7 @@

Library Stdlib.Logic.Hurkens

-

Axiomatisation of impredicative universes in a Martin-Löf style

+

Axiomatisation of impredicative universes in a Martin-Löf style

@@ -213,7 +213,7 @@

Library Stdlib.Logic.Hurkens

actual system U-.
-

Large universe

+

Large universe

@@ -222,7 +222,7 @@

Library Stdlib.Logic.Hurkens

-

Closure by small product

+

Closure by small product

@@ -238,7 +238,7 @@

Library Stdlib.Logic.Hurkens

-

Closure by large products

+

Closure by large products

U1 only needs to quantify over itself.
@@ -255,7 +255,7 @@

Library Stdlib.Logic.Hurkens

-

Small universe

+

Small universe

The small universe is an element of the large one.
@@ -265,7 +265,7 @@

Library Stdlib.Logic.Hurkens

-

Closure by small product

+

Closure by small product

U0 does not need reduction rules
@@ -279,7 +279,7 @@

Library Stdlib.Logic.Hurkens

-

Closure by large products

+

Closure by large products

@@ -294,7 +294,7 @@

Library Stdlib.Logic.Hurkens

-

Automating the rewrite rules of our encoding.

+

Automating the rewrite rules of our encoding.

@@ -312,7 +312,7 @@

Library Stdlib.Logic.Hurkens

-

Hurkens's paradox.

+

Hurkens's paradox.

@@ -325,7 +325,7 @@

Library Stdlib.Logic.Hurkens

-

Preliminary definitions

+

Preliminary definitions

@@ -354,7 +354,7 @@

Library Stdlib.Logic.Hurkens

-

Proof

+

Proof

@@ -439,7 +439,7 @@

Library Stdlib.Logic.Hurkens

-

Impredicative universes are not retracts.

+

Impredicative universes are not retracts.

@@ -466,7 +466,7 @@

Library Stdlib.Logic.Hurkens

-

U1 is impredicative

+

U1 is impredicative

@@ -493,7 +493,7 @@

Library Stdlib.Logic.Hurkens

-

U0 is a retract of U1

+

U0 is a retract of U1

@@ -506,7 +506,7 @@

Library Stdlib.Logic.Hurkens

-

Paradox

+

Paradox

@@ -570,7 +570,7 @@

Library Stdlib.Logic.Hurkens

-

Modal fragments of Prop are not retracts

+

Modal fragments of Prop are not retracts

@@ -589,7 +589,7 @@

Library Stdlib.Logic.Hurkens

-

Monadic modality

+

Monadic modality

@@ -612,7 +612,7 @@

Library Stdlib.Logic.Hurkens

-

The universe of modal propositions

+

The universe of modal propositions

@@ -642,7 +642,7 @@

Library Stdlib.Logic.Hurkens

-

Retract of the modal fragment of Prop in a small type

+

Retract of the modal fragment of Prop in a small type

@@ -662,7 +662,7 @@

Library Stdlib.Logic.Hurkens

-

Paradox

+

Paradox

@@ -721,7 +721,7 @@

Library Stdlib.Logic.Hurkens

-

The negative fragment of Prop is not a retract

+

The negative fragment of Prop is not a retract

@@ -738,7 +738,7 @@

Library Stdlib.Logic.Hurkens

-

The universe of negative propositions.

+

The universe of negative propositions.

@@ -754,7 +754,7 @@

Library Stdlib.Logic.Hurkens

-

Retract of the negative fragment of Prop in a small type

+

Retract of the negative fragment of Prop in a small type

@@ -774,7 +774,7 @@

Library Stdlib.Logic.Hurkens

-

Paradox

+

Paradox

@@ -805,7 +805,7 @@

Library Stdlib.Logic.Hurkens

-

Prop is not a retract

+

Prop is not a retract

@@ -822,7 +822,7 @@

Library Stdlib.Logic.Hurkens

-

The universe of propositions.

+

The universe of propositions.

@@ -838,7 +838,7 @@

Library Stdlib.Logic.Hurkens

-

Retract of Prop in a small type, using the identity modality.

+

Retract of Prop in a small type, using the identity modality.

@@ -854,7 +854,7 @@

Library Stdlib.Logic.Hurkens

-

Paradox

+

Paradox

@@ -885,7 +885,7 @@

Library Stdlib.Logic.Hurkens

-

Retract of Prop in a small type

+

Retract of Prop in a small type

@@ -903,7 +903,7 @@

Library Stdlib.Logic.Hurkens

-

Paradox

+

Paradox

@@ -930,7 +930,7 @@

Library Stdlib.Logic.Hurkens

-

Large universes are not retracts of Prop.

+

Large universes are not retracts of Prop.

@@ -955,7 +955,7 @@

Library Stdlib.Logic.Hurkens

-

Assumption of a retract from Type into Prop

+

Assumption of a retract from Type into Prop

@@ -969,7 +969,7 @@

Library Stdlib.Logic.Hurkens

-

Paradox

+

Paradox

@@ -1024,7 +1024,7 @@

Library Stdlib.Logic.Hurkens

-

A<>Type

+

A<>Type

@@ -1045,7 +1045,7 @@

Library Stdlib.Logic.Hurkens

-

Universe U is equal to one of its elements.

+

Universe U is equal to one of its elements.

@@ -1059,7 +1059,7 @@

Library Stdlib.Logic.Hurkens

-

Universe U is a retract of A

+

Universe U is a retract of A

@@ -1149,7 +1149,7 @@

Library Stdlib.Logic.Hurkens

-

Prop<>Type.

+

Prop<>Type.

diff --git a/master/stdlib/Stdlib.Logic.PropExtensionalityFacts.html b/master/stdlib/Stdlib.Logic.PropExtensionalityFacts.html index 0ecf6efd9b..0a666c42fa 100644 --- a/master/stdlib/Stdlib.Logic.PropExtensionalityFacts.html +++ b/master/stdlib/Stdlib.Logic.PropExtensionalityFacts.html @@ -116,7 +116,7 @@

Library Stdlib.Logic.PropExtensionalityFacts

-

Definitions

+

Definitions

@@ -180,11 +180,11 @@

Library Stdlib.Logic.PropExtensionalityFacts

-

Propositional and predicate extensionality

+

Propositional and predicate extensionality

-

Predicate extensionality <-> Propositional extensionality + Propositional functional extensionality

+

Predicate extensionality <-> Propositional extensionality + Propositional functional extensionality

@@ -207,7 +207,7 @@

Library Stdlib.Logic.PropExtensionalityFacts

-

Propositional extensionality and provable proposition extensionality

+

Propositional extensionality and provable proposition extensionality

@@ -219,7 +219,7 @@

Library Stdlib.Logic.PropExtensionalityFacts

-

Propositional extensionality and refutable proposition extensionality

+

Propositional extensionality and refutable proposition extensionality

diff --git a/master/stdlib/Stdlib.Logic.PropFacts.html b/master/stdlib/Stdlib.Logic.PropFacts.html index 60eb9bf9de..bf3c0cb486 100644 --- a/master/stdlib/Stdlib.Logic.PropFacts.html +++ b/master/stdlib/Stdlib.Logic.PropFacts.html @@ -48,7 +48,7 @@

Library Stdlib.Logic.PropFacts

-

Basic facts about Prop as a type

+

Basic facts about Prop as a type

diff --git a/master/stdlib/Stdlib.Logic.SetIsType.html b/master/stdlib/Stdlib.Logic.SetIsType.html index e9147ec2d0..51e960e3fb 100644 --- a/master/stdlib/Stdlib.Logic.SetIsType.html +++ b/master/stdlib/Stdlib.Logic.SetIsType.html @@ -48,7 +48,7 @@

Library Stdlib.Logic.SetIsType

-

The Set universe seen as a synonym for Type

+

The Set universe seen as a synonym for Type

diff --git a/master/stdlib/Stdlib.MSets.MSetAVL.html b/master/stdlib/Stdlib.MSets.MSetAVL.html index 9259d67043..c28abef8fe 100644 --- a/master/stdlib/Stdlib.MSets.MSetAVL.html +++ b/master/stdlib/Stdlib.MSets.MSetAVL.html @@ -48,7 +48,7 @@

Library Stdlib.MSets.MSetAVL

-

MSetAVL : Implementation of MSetInterface via AVL trees

+

MSetAVL : Implementation of MSetInterface via AVL trees

@@ -90,7 +90,7 @@

Library Stdlib.MSets.MSetAVL

-

Ops : the pure functions

+

Ops : the pure functions

@@ -104,7 +104,7 @@

Library Stdlib.MSets.MSetAVL

-

Generic trees instantiated with integer height

+

Generic trees instantiated with integer height

@@ -124,7 +124,7 @@

Library Stdlib.MSets.MSetAVL

-

Height of trees

+

Height of trees

@@ -140,7 +140,7 @@

Library Stdlib.MSets.MSetAVL

-

Singleton set

+

Singleton set

@@ -152,7 +152,7 @@

Library Stdlib.MSets.MSetAVL

-

Helper functions

+

Helper functions

@@ -215,7 +215,7 @@

Library Stdlib.MSets.MSetAVL

-

Insertion

+

Insertion

@@ -235,7 +235,7 @@

Library Stdlib.MSets.MSetAVL

-

Join

+

Join

@@ -264,7 +264,7 @@

Library Stdlib.MSets.MSetAVL

-

Extraction of minimum element

+

Extraction of minimum element

@@ -288,7 +288,7 @@

Library Stdlib.MSets.MSetAVL

-

Merging two trees

+

Merging two trees

@@ -312,7 +312,7 @@

Library Stdlib.MSets.MSetAVL

-

Deletion

+

Deletion

@@ -332,7 +332,7 @@

Library Stdlib.MSets.MSetAVL

-

Concatenation

+

Concatenation

@@ -356,7 +356,7 @@

Library Stdlib.MSets.MSetAVL

-

Splitting

+

Splitting

@@ -396,7 +396,7 @@

Library Stdlib.MSets.MSetAVL

-

Intersection

+

Intersection

@@ -415,7 +415,7 @@

Library Stdlib.MSets.MSetAVL

-

Difference

+

Difference

@@ -434,7 +434,7 @@

Library Stdlib.MSets.MSetAVL

-

Union

+

Union

@@ -465,7 +465,7 @@

Library Stdlib.MSets.MSetAVL

-

Filter

+

Filter

@@ -483,7 +483,7 @@

Library Stdlib.MSets.MSetAVL

-

Partition

+

Partition

@@ -506,7 +506,7 @@

Library Stdlib.MSets.MSetAVL

-

MakeRaw

+

MakeRaw

@@ -779,7 +779,7 @@

Library Stdlib.MSets.MSetAVL

-

Singleton set

+

Singleton set

@@ -795,7 +795,7 @@

Library Stdlib.MSets.MSetAVL

-

Helper functions

+

Helper functions

@@ -822,7 +822,7 @@

Library Stdlib.MSets.MSetAVL

-

Insertion

+

Insertion

@@ -846,7 +846,7 @@

Library Stdlib.MSets.MSetAVL

-

Join

+

Join

@@ -885,7 +885,7 @@

Library Stdlib.MSets.MSetAVL

-

Extraction of minimum element

+

Extraction of minimum element

@@ -909,7 +909,7 @@

Library Stdlib.MSets.MSetAVL

-

Merging two trees

+

Merging two trees

@@ -928,7 +928,7 @@

Library Stdlib.MSets.MSetAVL

-

Deletion

+

Deletion

@@ -945,7 +945,7 @@

Library Stdlib.MSets.MSetAVL

-

Concatenation

+

Concatenation

@@ -964,7 +964,7 @@

Library Stdlib.MSets.MSetAVL

-

Splitting

+

Splitting

@@ -996,7 +996,7 @@

Library Stdlib.MSets.MSetAVL

-

Intersection

+

Intersection

@@ -1026,7 +1026,7 @@

Library Stdlib.MSets.MSetAVL

-

Difference

+

Difference

@@ -1047,7 +1047,7 @@

Library Stdlib.MSets.MSetAVL

-

Union

+

Union

@@ -1064,7 +1064,7 @@

Library Stdlib.MSets.MSetAVL

-

Filter

+

Filter

@@ -1086,7 +1086,7 @@

Library Stdlib.MSets.MSetAVL

-

Partition

+

Partition

@@ -1123,7 +1123,7 @@

Library Stdlib.MSets.MSetAVL

-

Encapsulation

+

Encapsulation

diff --git a/master/stdlib/Stdlib.MSets.MSetDecide.html b/master/stdlib/Stdlib.MSets.MSetDecide.html index 8f3b6749af..8953ea7717 100644 --- a/master/stdlib/Stdlib.MSets.MSetDecide.html +++ b/master/stdlib/Stdlib.MSets.MSetDecide.html @@ -74,7 +74,7 @@

Library Stdlib.MSets.MSetDecide

-

Overview

+

Overview

This functor defines the tactic fsetdec, which will solve any valid goal of the form @@ -180,7 +180,7 @@

Library Stdlib.MSets.MSetDecide

-

Facts and Tactics for Propositional Logic

+

Facts and Tactics for Propositional Logic

These lemmas and tactics are in a module so that they do not affect the namespace if you import the enclosing @@ -195,18 +195,18 @@

Library Stdlib.MSets.MSetDecide

-

Lemmas and Tactics About Decidable Propositions

+

Lemmas and Tactics About Decidable Propositions

-

Propositional Equivalences Involving Negation

+

Propositional Equivalences Involving Negation

These are all written with the unfolded form of negation, since I am not sure if setoid rewriting will always perform conversion.
-

Tactics for Negations

+

Tactics for Negations

@@ -457,7 +457,7 @@

Library Stdlib.MSets.MSetDecide

-

Auxiliary Tactics

+

Auxiliary Tactics

Again, these lemmas and tactics are in a module so that they do not affect the namespace if you import the @@ -470,7 +470,7 @@

Library Stdlib.MSets.MSetDecide

-

Generic Tactics

+

Generic Tactics

We begin by defining a few generic, useful tactics.
@@ -587,7 +587,7 @@

Library Stdlib.MSets.MSetDecide

-

Discarding Irrelevant Hypotheses

+

Discarding Irrelevant Hypotheses

We will want to clear the context of any non-MSet-related hypotheses in order to increase the @@ -667,7 +667,7 @@

Library Stdlib.MSets.MSetDecide

-

Turning Set Operators into Propositional Connectives

+

Turning Set Operators into Propositional Connectives

The lemmas from MSetFacts will be used to break down set operations into propositional formulas built over @@ -693,7 +693,7 @@

Library Stdlib.MSets.MSetDecide

-

Decidability of MSet Propositions

+

Decidability of MSet Propositions

@@ -728,7 +728,7 @@

Library Stdlib.MSets.MSetDecide

-

Normalizing Propositions About Equality

+

Normalizing Propositions About Equality

We have to deal with the fact that E.eq may be convertible with Coq's equality. Thus, we will find the @@ -811,7 +811,7 @@

Library Stdlib.MSets.MSetDecide

-

Considering Decidability of Base Propositions

+

Considering Decidability of Base Propositions

This tactic adds assertions about the decidability of E.eq and In to the context. This is necessary for @@ -860,7 +860,7 @@

Library Stdlib.MSets.MSetDecide

-

Handling Empty, Subset, and Equal

+

Handling Empty, Subset, and Equal

This tactic instantiates universally quantified hypotheses (which arise from the unfolding of Empty, @@ -908,7 +908,7 @@

Library Stdlib.MSets.MSetDecide

-

The Core fsetdec Auxiliary Tactics

+

The Core fsetdec Auxiliary Tactics

@@ -950,7 +950,7 @@

Library Stdlib.MSets.MSetDecide

-

The fsetdec Tactic

+

The fsetdec Tactic

Here is the top-level tactic (the only one intended for clients of this library). It's specification is given at @@ -1064,7 +1064,7 @@

Library Stdlib.MSets.MSetDecide

-

Examples

+

Examples

diff --git a/master/stdlib/Stdlib.MSets.MSetEqProperties.html b/master/stdlib/Stdlib.MSets.MSetEqProperties.html index d0574e6dd2..23e441d6e0 100644 --- a/master/stdlib/Stdlib.MSets.MSetEqProperties.html +++ b/master/stdlib/Stdlib.MSets.MSetEqProperties.html @@ -48,7 +48,7 @@

Library Stdlib.MSets.MSetEqProperties

-

Finite sets library

+

Finite sets library

diff --git a/master/stdlib/Stdlib.MSets.MSetFacts.html b/master/stdlib/Stdlib.MSets.MSetFacts.html index 8a7e1e72f3..776796e556 100644 --- a/master/stdlib/Stdlib.MSets.MSetFacts.html +++ b/master/stdlib/Stdlib.MSets.MSetFacts.html @@ -48,7 +48,7 @@

Library Stdlib.MSets.MSetFacts

-

Finite sets library

+

Finite sets library

@@ -87,7 +87,7 @@

Library Stdlib.MSets.MSetFacts

-

Specifications written using implications :

+

Specifications written using implications :

this used to be the default interface.
@@ -204,7 +204,7 @@

Library Stdlib.MSets.MSetFacts

-

Specifications written using equivalences :

+

Specifications written using equivalences :

this is now provided by the default interface.
@@ -293,7 +293,7 @@

Library Stdlib.MSets.MSetFacts

-

Specifications written using boolean predicates

+

Specifications written using boolean predicates

@@ -357,7 +357,7 @@

Library Stdlib.MSets.MSetFacts

-

Declarations of morphisms with respects to E.eq and Equal

+

Declarations of morphisms with respects to E.eq and Equal

diff --git a/master/stdlib/Stdlib.MSets.MSetGenTree.html b/master/stdlib/Stdlib.MSets.MSetGenTree.html index 4a9e20a624..0ce3933557 100644 --- a/master/stdlib/Stdlib.MSets.MSetGenTree.html +++ b/master/stdlib/Stdlib.MSets.MSetGenTree.html @@ -48,7 +48,7 @@

Library Stdlib.MSets.MSetGenTree

-

MSetGenTree : sets via generic trees

+

MSetGenTree : sets via generic trees

@@ -106,7 +106,7 @@

Library Stdlib.MSets.MSetGenTree

-

Ops : the pure functions

+

Ops : the pure functions

@@ -128,7 +128,7 @@

Library Stdlib.MSets.MSetGenTree

-

The empty set and emptyness test

+

The empty set and emptyness test

@@ -147,7 +147,7 @@

Library Stdlib.MSets.MSetGenTree

-

Membership test

+

Membership test

@@ -172,7 +172,7 @@

Library Stdlib.MSets.MSetGenTree

-

Minimal, maximal, arbitrary elements

+

Minimal, maximal, arbitrary elements

@@ -200,7 +200,7 @@

Library Stdlib.MSets.MSetGenTree

-

Iteration on elements

+

Iteration on elements

@@ -257,7 +257,7 @@

Library Stdlib.MSets.MSetGenTree

-

Testing universal or existential properties.

+

Testing universal or existential properties.

@@ -282,7 +282,7 @@

Library Stdlib.MSets.MSetGenTree

-

Comparison of trees

+

Comparison of trees

@@ -389,7 +389,7 @@

Library Stdlib.MSets.MSetGenTree

-

Subset test

+

Subset test

@@ -448,7 +448,7 @@

Library Stdlib.MSets.MSetGenTree

-

Props : correctness proofs of these generic operations

+

Props : correctness proofs of these generic operations

@@ -460,7 +460,7 @@

Library Stdlib.MSets.MSetGenTree

-

Occurrence in a tree

+

Occurrence in a tree

@@ -478,7 +478,7 @@

Library Stdlib.MSets.MSetGenTree

-

Some shortcuts

+

Some shortcuts

@@ -494,7 +494,7 @@

Library Stdlib.MSets.MSetGenTree

-

Binary search trees

+

Binary search trees

@@ -572,7 +572,7 @@

Library Stdlib.MSets.MSetGenTree

-

Known facts about ordered types

+

Known facts about ordered types

@@ -584,7 +584,7 @@

Library Stdlib.MSets.MSetGenTree

-

Automation and dedicated tactics

+

Automation and dedicated tactics

@@ -691,7 +691,7 @@

Library Stdlib.MSets.MSetGenTree

-

Basic results about In

+

Basic results about In

@@ -789,7 +789,7 @@

Library Stdlib.MSets.MSetGenTree

-

Empty set

+

Empty set

@@ -805,7 +805,7 @@

Library Stdlib.MSets.MSetGenTree

-

Emptyness test

+

Emptyness test

@@ -817,7 +817,7 @@

Library Stdlib.MSets.MSetGenTree

-

Membership

+

Membership

@@ -829,7 +829,7 @@

Library Stdlib.MSets.MSetGenTree

-

Minimal and maximal elements

+

Minimal and maximal elements

@@ -869,7 +869,7 @@

Library Stdlib.MSets.MSetGenTree

-

Elements

+

Elements

@@ -945,7 +945,7 @@

Library Stdlib.MSets.MSetGenTree

-

for_all and exists

+

for_all and exists

@@ -962,7 +962,7 @@

Library Stdlib.MSets.MSetGenTree

-

Fold

+

Fold

@@ -979,7 +979,7 @@

Library Stdlib.MSets.MSetGenTree

-

Subset

+

Subset

@@ -1004,7 +1004,7 @@

Library Stdlib.MSets.MSetGenTree

-

Comparison

+

Comparison

@@ -1106,7 +1106,7 @@

Library Stdlib.MSets.MSetGenTree

-

Equality test

+

Equality test

@@ -1119,7 +1119,7 @@

Library Stdlib.MSets.MSetGenTree

-

A few results about mindepth and maxdepth

+

A few results about mindepth and maxdepth

diff --git a/master/stdlib/Stdlib.MSets.MSetInterface.html b/master/stdlib/Stdlib.MSets.MSetInterface.html index 75af5f633e..eca37f0b50 100644 --- a/master/stdlib/Stdlib.MSets.MSetInterface.html +++ b/master/stdlib/Stdlib.MSets.MSetInterface.html @@ -48,7 +48,7 @@

Library Stdlib.MSets.MSetInterface

-

Finite set library

+

Finite set library

@@ -317,7 +317,7 @@

Library Stdlib.MSets.MSetInterface

-

Functorial signature for weak sets

+

Functorial signature for weak sets

@@ -431,7 +431,7 @@

Library Stdlib.MSets.MSetInterface

-

Static signature for weak sets

+

Static signature for weak sets

@@ -451,7 +451,7 @@

Library Stdlib.MSets.MSetInterface

-

Functorial signature for sets on ordered elements

+

Functorial signature for sets on ordered elements

@@ -563,7 +563,7 @@

Library Stdlib.MSets.MSetInterface

-

Static signature for sets on ordered elements

+

Static signature for sets on ordered elements

@@ -586,7 +586,7 @@

Library Stdlib.MSets.MSetInterface

-

Some subtyping tests

+

Some subtyping tests

 WSetsOn ---> WSets
@@ -603,7 +603,7 @@ 
Library Stdlib.MSets.MSetInterface

 
 
 

 
-
Signatures for set representations with ill-formed values.

+
Signatures for set representations with ill-formed values.

 
 
 
 

diff --git a/master/stdlib/Stdlib.MSets.MSetList.html b/master/stdlib/Stdlib.MSets.MSetList.html
index f64d248ae8..9ce804c7ce 100644
--- a/master/stdlib/Stdlib.MSets.MSetList.html
+++ b/master/stdlib/Stdlib.MSets.MSetList.html
@@ -48,7 +48,7 @@ 
Library Stdlib.MSets.MSetList
-

Finite sets library

+

Finite sets library

@@ -65,7 +65,7 @@

Library Stdlib.MSets.MSetList

-

Functions over lists

+

Functions over lists

@@ -93,7 +93,7 @@

Library Stdlib.MSets.MSetList

-

The set operations.

+

The set operations.

@@ -301,7 +301,7 @@

Library Stdlib.MSets.MSetList

-

Proofs of set operation specifications.

+

Proofs of set operation specifications.

@@ -642,7 +642,7 @@

Library Stdlib.MSets.MSetList

-

Encapsulation

+

Encapsulation

diff --git a/master/stdlib/Stdlib.MSets.MSetProperties.html b/master/stdlib/Stdlib.MSets.MSetProperties.html index c28db6a480..6fe3df8b53 100644 --- a/master/stdlib/Stdlib.MSets.MSetProperties.html +++ b/master/stdlib/Stdlib.MSets.MSetProperties.html @@ -48,7 +48,7 @@

Library Stdlib.MSets.MSetProperties

-

Finite sets library

+

Finite sets library

@@ -341,7 +341,7 @@

Library Stdlib.MSets.MSetProperties

-

Properties of elements

+

Properties of elements

@@ -356,7 +356,7 @@

Library Stdlib.MSets.MSetProperties

-

Conversions between lists and sets

+

Conversions between lists and sets

@@ -380,7 +380,7 @@

Library Stdlib.MSets.MSetProperties

-

Fold

+

Fold

@@ -408,7 +408,7 @@

Library Stdlib.MSets.MSetProperties

-

Induction principles for fold (contributed by S. Lescuyer)

+

Induction principles for fold (contributed by S. Lescuyer)

@@ -514,7 +514,7 @@

Library Stdlib.MSets.MSetProperties

-

Alternative (weaker) specifications for fold

+

Alternative (weaker) specifications for fold

@@ -586,7 +586,7 @@

Library Stdlib.MSets.MSetProperties

-

Fold is a morphism

+

Fold is a morphism

@@ -603,7 +603,7 @@

Library Stdlib.MSets.MSetProperties

-

Fold and other set operators

+

Fold and other set operators

@@ -655,11 +655,11 @@

Library Stdlib.MSets.MSetProperties

-

Cardinal

+

Cardinal

-

Characterization of cardinal in terms of fold

+

Characterization of cardinal in terms of fold

@@ -671,7 +671,7 @@

Library Stdlib.MSets.MSetProperties

-

Old specifications for cardinal.

+

Old specifications for cardinal.

@@ -694,7 +694,7 @@

Library Stdlib.MSets.MSetProperties

-

Cardinal and (non-)emptiness

+

Cardinal and (non-)emptiness

@@ -719,7 +719,7 @@

Library Stdlib.MSets.MSetProperties

-

Cardinal is a morphism

+

Cardinal is a morphism

@@ -739,7 +739,7 @@

Library Stdlib.MSets.MSetProperties

-

Cardinal and set operators

+

Cardinal and set operators

diff --git a/master/stdlib/Stdlib.MSets.MSetRBT.html b/master/stdlib/Stdlib.MSets.MSetRBT.html index 34adbdbf6c..780de61749 100644 --- a/master/stdlib/Stdlib.MSets.MSetRBT.html +++ b/master/stdlib/Stdlib.MSets.MSetRBT.html @@ -48,7 +48,7 @@

Library Stdlib.MSets.MSetRBT

-

MSetRBT : Implementation of MSetInterface via Red-Black trees

+

MSetRBT : Implementation of MSetInterface via Red-Black trees

@@ -152,7 +152,7 @@

Library Stdlib.MSets.MSetRBT

-

Ops : the pure functions

+

Ops : the pure functions

@@ -164,7 +164,7 @@

Library Stdlib.MSets.MSetRBT

-

Generic trees instantiated with color

+

Generic trees instantiated with color

@@ -186,7 +186,7 @@

Library Stdlib.MSets.MSetRBT

-

Basic tree

+

Basic tree

@@ -198,7 +198,7 @@

Library Stdlib.MSets.MSetRBT

-

Changing root color

+

Changing root color

@@ -221,7 +221,7 @@

Library Stdlib.MSets.MSetRBT

-

Balancing

+

Balancing

@@ -302,7 +302,7 @@

Library Stdlib.MSets.MSetRBT

-

Insertion

+

Insertion

@@ -334,7 +334,7 @@

Library Stdlib.MSets.MSetRBT

-

Deletion

+

Deletion

@@ -394,7 +394,7 @@

Library Stdlib.MSets.MSetRBT

-

Removing minimal element

+

Removing minimal element

@@ -424,7 +424,7 @@

Library Stdlib.MSets.MSetRBT

-

Tree-ification

+

Tree-ification

@@ -487,7 +487,7 @@

Library Stdlib.MSets.MSetRBT

-

Filtering

+

Filtering

@@ -525,7 +525,7 @@

Library Stdlib.MSets.MSetRBT

-

Union, intersection, difference

+

Union, intersection, difference

@@ -685,7 +685,7 @@

Library Stdlib.MSets.MSetRBT

-

MakeRaw : the pure functions and their specifications

+

MakeRaw : the pure functions and their specifications

@@ -723,7 +723,7 @@

Library Stdlib.MSets.MSetRBT

-

Singleton set

+

Singleton set

@@ -739,7 +739,7 @@

Library Stdlib.MSets.MSetRBT

-

makeBlack, MakeRed

+

makeBlack, MakeRed

@@ -762,7 +762,7 @@

Library Stdlib.MSets.MSetRBT

-

Generic handling for red-matching and red-red-matching

+

Generic handling for red-matching and red-red-matching

@@ -887,7 +887,7 @@

Library Stdlib.MSets.MSetRBT

-

Balancing for insertion

+

Balancing for insertion

@@ -933,7 +933,7 @@

Library Stdlib.MSets.MSetRBT

-

Insertion

+

Insertion

@@ -966,7 +966,7 @@

Library Stdlib.MSets.MSetRBT

-

Balancing for deletion

+

Balancing for deletion

@@ -996,7 +996,7 @@

Library Stdlib.MSets.MSetRBT

-

Append for deletion

+

Append for deletion

@@ -1049,7 +1049,7 @@

Library Stdlib.MSets.MSetRBT

-

Deletion

+

Deletion

@@ -1080,7 +1080,7 @@

Library Stdlib.MSets.MSetRBT

-

Removing the minimal element

+

Removing the minimal element

@@ -1109,7 +1109,7 @@

Library Stdlib.MSets.MSetRBT

-

Treeify

+

Treeify

@@ -1161,7 +1161,7 @@

Library Stdlib.MSets.MSetRBT

-

Filter

+

Filter

@@ -1187,7 +1187,7 @@

Library Stdlib.MSets.MSetRBT

-

Partition

+

Partition

@@ -1223,7 +1223,7 @@

Library Stdlib.MSets.MSetRBT

-

An invariant for binary list functions with accumulator.

+

An invariant for binary list functions with accumulator.

@@ -1270,7 +1270,7 @@

Library Stdlib.MSets.MSetRBT

-

union

+

union

@@ -1318,7 +1318,7 @@

Library Stdlib.MSets.MSetRBT

-

inter

+

inter

@@ -1359,7 +1359,7 @@

Library Stdlib.MSets.MSetRBT

-

difference

+

difference

@@ -1408,7 +1408,7 @@

Library Stdlib.MSets.MSetRBT

-

Balancing properties

+

Balancing properties

@@ -1431,7 +1431,7 @@

Library Stdlib.MSets.MSetRBT

-

Red-Black invariants

+

Red-Black invariants

@@ -1502,7 +1502,7 @@

Library Stdlib.MSets.MSetRBT

-

Basic tactics and results about red-black

+

Basic tactics and results about red-black

@@ -1537,7 +1537,7 @@

Library Stdlib.MSets.MSetRBT

-

A Red-Black tree has indeed a logarithmic depth

+

A Red-Black tree has indeed a logarithmic depth

@@ -1563,7 +1563,7 @@

Library Stdlib.MSets.MSetRBT

-

Singleton

+

Singleton

@@ -1575,7 +1575,7 @@

Library Stdlib.MSets.MSetRBT

-

makeBlack and makeRed

+

makeBlack and makeRed

@@ -1591,7 +1591,7 @@

Library Stdlib.MSets.MSetRBT

-

Balancing

+

Balancing

@@ -1628,7 +1628,7 @@

Library Stdlib.MSets.MSetRBT

-

Insertion

+

Insertion

@@ -1661,7 +1661,7 @@

Library Stdlib.MSets.MSetRBT

-

Deletion

+

Deletion

@@ -1692,7 +1692,7 @@

Library Stdlib.MSets.MSetRBT

-

Treeify

+

Treeify

@@ -1739,7 +1739,7 @@

Library Stdlib.MSets.MSetRBT

-

Filtering

+

Filtering

@@ -1760,7 +1760,7 @@

Library Stdlib.MSets.MSetRBT

-

Union, intersection, difference

+

Union, intersection, difference

@@ -1789,7 +1789,7 @@

Library Stdlib.MSets.MSetRBT

-

Final Encapsulation

+

Final Encapsulation

diff --git a/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html b/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html index 761876f6ca..d9281f2e03 100644 --- a/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html +++ b/master/stdlib/Stdlib.MSets.MSetToFiniteSet.html @@ -48,7 +48,7 @@

Library Stdlib.MSets.MSetToFiniteSet

-

Finite sets library : conversion to old Finite_sets

+

Finite sets library : conversion to old Finite_sets

@@ -61,7 +61,7 @@

Library Stdlib.MSets.MSetToFiniteSet

-

Going from MSets with usual Leibniz equality

+

Going from MSets with usual Leibniz equality

to the good old Ensembles and Finite_sets theory.
diff --git a/master/stdlib/Stdlib.MSets.MSetWeakList.html b/master/stdlib/Stdlib.MSets.MSetWeakList.html index 348e709453..e1faffd980 100644 --- a/master/stdlib/Stdlib.MSets.MSetWeakList.html +++ b/master/stdlib/Stdlib.MSets.MSetWeakList.html @@ -48,7 +48,7 @@

Library Stdlib.MSets.MSetWeakList

-

Finite sets library

+

Finite sets library

@@ -68,7 +68,7 @@

Library Stdlib.MSets.MSetWeakList

-

Functions over lists

+

Functions over lists

@@ -78,7 +78,7 @@

Library Stdlib.MSets.MSetWeakList

And the functions returning sets are proved to preserve this invariant.
-

The set operations.

+

The set operations.

@@ -193,7 +193,7 @@

Library Stdlib.MSets.MSetWeakList

-

Proofs of set operation specifications.

+

Proofs of set operation specifications.

@@ -425,7 +425,7 @@

Library Stdlib.MSets.MSetWeakList

-

Encapsulation

+

Encapsulation

diff --git a/master/stdlib/Stdlib.NArith.BinNat.html b/master/stdlib/Stdlib.NArith.BinNat.html index 29f82132f9..3cc3219168 100644 --- a/master/stdlib/Stdlib.NArith.BinNat.html +++ b/master/stdlib/Stdlib.NArith.BinNat.html @@ -54,7 +54,7 @@

Library Stdlib.NArith.BinNat

-

Binary natural numbers, operations and properties

+

Binary natural numbers, operations and properties

@@ -894,7 +894,7 @@

Library Stdlib.NArith.BinNat

-

Properties of iter

+

Properties of iter

diff --git a/master/stdlib/Stdlib.NArith.BinNatDef.html b/master/stdlib/Stdlib.NArith.BinNatDef.html index 7b0214d961..ef32f7c781 100644 --- a/master/stdlib/Stdlib.NArith.BinNatDef.html +++ b/master/stdlib/Stdlib.NArith.BinNatDef.html @@ -61,7 +61,7 @@

Library Stdlib.NArith.BinNatDef

-

Binary natural numbers, definitions of operations

+

Binary natural numbers, definitions of operations

@@ -79,7 +79,7 @@

Library Stdlib.NArith.BinNatDef

-

Nicer name N.pos for constructor Npos

+

Nicer name N.pos for constructor Npos

@@ -91,7 +91,7 @@

Library Stdlib.NArith.BinNatDef

-

Constants

+

Constants

@@ -105,7 +105,7 @@

Library Stdlib.NArith.BinNatDef

-

Successor

+

Successor

@@ -121,7 +121,7 @@

Library Stdlib.NArith.BinNatDef

-

Predecessor

+

Predecessor

@@ -137,7 +137,7 @@

Library Stdlib.NArith.BinNatDef

-

Addition

+

Addition

diff --git a/master/stdlib/Stdlib.NArith.Nnat.html b/master/stdlib/Stdlib.NArith.Nnat.html index ae6a442a25..70d4708adb 100644 --- a/master/stdlib/Stdlib.NArith.Nnat.html +++ b/master/stdlib/Stdlib.NArith.Nnat.html @@ -51,7 +51,7 @@

Library Stdlib.NArith.Nnat

-

Conversions from N to nat

+

Conversions from N to nat

@@ -167,7 +167,7 @@

Library Stdlib.NArith.Nnat

-

Conversions from nat to N

+

Conversions from nat to N

diff --git a/master/stdlib/Stdlib.Numbers.AltBinNotations.html b/master/stdlib/Stdlib.Numbers.AltBinNotations.html index deede5d023..a2f657c40c 100644 --- a/master/stdlib/Stdlib.Numbers.AltBinNotations.html +++ b/master/stdlib/Stdlib.Numbers.AltBinNotations.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.AltBinNotations

-

Alternative Binary Number Notations

+

Alternative Binary Number Notations

diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html index c047598d04..62265c7fd3 100644 --- a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html +++ b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.Cyclic.Abstract.CyclicAxioms

-

Signature and specification of bounded integers

+

Signature and specification of bounded integers

diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html index 8a887e2157..f8eb7aae6e 100644 --- a/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html +++ b/master/stdlib/Stdlib.Numbers.Cyclic.Abstract.NZCyclic.html @@ -56,7 +56,7 @@

Library Stdlib.Numbers.Cyclic.Abstract.NZCyclic

-

From CyclicType to NZAxiomsSig

+

From CyclicType to NZAxiomsSig

diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html index b1343d6fa1..f2bb9fe700 100644 --- a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html +++ b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Cyclic63.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.Cyclic.Int63.Cyclic63

-

Uint63 numbers defines indeed a cyclic structure : Z/(2^63)Z

+

Uint63 numbers defines indeed a cyclic structure : Z/(2^63)Z

diff --git a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html index 9b51c60126..e1063e17ce 100644 --- a/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html +++ b/master/stdlib/Stdlib.Numbers.Cyclic.Int63.Ring63.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.Cyclic.Int63.Ring63

-

Uint63 numbers defines Z/(2^63)Z, and can hence be equipped

+

Uint63 numbers defines Z/(2^63)Z, and can hence be equipped

with a ring structure and a ring tactic
diff --git a/master/stdlib/Stdlib.Numbers.DecimalFacts.html b/master/stdlib/Stdlib.Numbers.DecimalFacts.html index dba7c47a88..7983087980 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalFacts.html +++ b/master/stdlib/Stdlib.Numbers.DecimalFacts.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.DecimalFacts

-

DecimalFacts : some facts about Decimal numbers

+

DecimalFacts : some facts about Decimal numbers

diff --git a/master/stdlib/Stdlib.Numbers.DecimalN.html b/master/stdlib/Stdlib.Numbers.DecimalN.html index 987e5eadc0..d4cb4de3c3 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalN.html +++ b/master/stdlib/Stdlib.Numbers.DecimalN.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.DecimalN

-

DecimalN

+

DecimalN

diff --git a/master/stdlib/Stdlib.Numbers.DecimalNat.html b/master/stdlib/Stdlib.Numbers.DecimalNat.html index 13ce7a8d4b..615ad91a3b 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalNat.html +++ b/master/stdlib/Stdlib.Numbers.DecimalNat.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.DecimalNat

-

DecimalNat

+

DecimalNat

diff --git a/master/stdlib/Stdlib.Numbers.DecimalPos.html b/master/stdlib/Stdlib.Numbers.DecimalPos.html index 01a300905f..fe21963782 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalPos.html +++ b/master/stdlib/Stdlib.Numbers.DecimalPos.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.DecimalPos

-

DecimalPos

+

DecimalPos

diff --git a/master/stdlib/Stdlib.Numbers.DecimalQ.html b/master/stdlib/Stdlib.Numbers.DecimalQ.html index 1e0bc3512b..4d729be4c2 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalQ.html +++ b/master/stdlib/Stdlib.Numbers.DecimalQ.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.DecimalQ

-

DecimalQ

+

DecimalQ

diff --git a/master/stdlib/Stdlib.Numbers.DecimalR.html b/master/stdlib/Stdlib.Numbers.DecimalR.html index 7af563fbc2..094b7b215d 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalR.html +++ b/master/stdlib/Stdlib.Numbers.DecimalR.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.DecimalR

-

DecimalR

+

DecimalR

diff --git a/master/stdlib/Stdlib.Numbers.DecimalString.html b/master/stdlib/Stdlib.Numbers.DecimalString.html index 6db432a6e6..335307a6f6 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalString.html +++ b/master/stdlib/Stdlib.Numbers.DecimalString.html @@ -51,7 +51,7 @@

Library Stdlib.Numbers.DecimalString

-

Conversion between decimal numbers and Coq strings

+

Conversion between decimal numbers and Coq strings

diff --git a/master/stdlib/Stdlib.Numbers.DecimalZ.html b/master/stdlib/Stdlib.Numbers.DecimalZ.html index 0956350ae5..e84c00503d 100644 --- a/master/stdlib/Stdlib.Numbers.DecimalZ.html +++ b/master/stdlib/Stdlib.Numbers.DecimalZ.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.DecimalZ

-

DecimalZ

+

DecimalZ

diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html b/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html index a080027202..7862d746b9 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalFacts.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.HexadecimalFacts

-

HexadecimalFacts : some facts about Hexadecimal numbers

+

HexadecimalFacts : some facts about Hexadecimal numbers

diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalN.html b/master/stdlib/Stdlib.Numbers.HexadecimalN.html index 536bddb106..53aa14380b 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalN.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalN.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.HexadecimalN

-

HexadecimalN

+

HexadecimalN

diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalNat.html b/master/stdlib/Stdlib.Numbers.HexadecimalNat.html index 0caa21a7b2..7979e0df35 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalNat.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalNat.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.HexadecimalNat

-

HexadecimalNat

+

HexadecimalNat

diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalPos.html b/master/stdlib/Stdlib.Numbers.HexadecimalPos.html index 06c9de085f..0159ea88b0 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalPos.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalPos.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.HexadecimalPos

-

HexadecimalPos

+

HexadecimalPos

diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalQ.html b/master/stdlib/Stdlib.Numbers.HexadecimalQ.html index 43c3b9e8e3..0a4401241a 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalQ.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalQ.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.HexadecimalQ

-

HexadecimalQ

+

HexadecimalQ

diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalR.html b/master/stdlib/Stdlib.Numbers.HexadecimalR.html index 04b0103431..132278eea7 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalR.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalR.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.HexadecimalR

-

HexadecimalR

+

HexadecimalR

diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalString.html b/master/stdlib/Stdlib.Numbers.HexadecimalString.html index 79949dae2d..adda766bd2 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalString.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalString.html @@ -51,7 +51,7 @@

Library Stdlib.Numbers.HexadecimalString

-

Conversion between hexadecimal numbers and Coq strings

+

Conversion between hexadecimal numbers and Coq strings

diff --git a/master/stdlib/Stdlib.Numbers.HexadecimalZ.html b/master/stdlib/Stdlib.Numbers.HexadecimalZ.html index 81813b403a..b35edf4797 100644 --- a/master/stdlib/Stdlib.Numbers.HexadecimalZ.html +++ b/master/stdlib/Stdlib.Numbers.HexadecimalZ.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.HexadecimalZ

-

HexadecimalZ

+

HexadecimalZ

diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html index 75de367515..59534cae9f 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZBits.html @@ -472,7 +472,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZBits

-

Properties of shifts

+

Properties of shifts

diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html index 813c2ea49c..11f0f2ef4f 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivEucl.html @@ -54,7 +54,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivEucl

-

Euclidean Division for integers, Euclid convention

+

Euclidean Division for integers, Euclid convention

@@ -245,7 +245,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivEucl

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -281,7 +281,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivEucl

-

Order results about mod and div

+

Order results about mod and div

@@ -410,7 +410,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivEucl

-

Relations between usual operations and mod and div

+

Relations between usual operations and mod and div

diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html index a94d0f9e8a..e9ade89428 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivFloor.html @@ -51,7 +51,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivFloor

-

Euclidean Division for integers (Floor convention)

+

Euclidean Division for integers (Floor convention)

@@ -283,7 +283,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivFloor

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -319,7 +319,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivFloor

-

Order results about mod and div

+

Order results about mod and div

@@ -456,7 +456,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivFloor

-

Relations between usual operations and mod and div

+

Relations between usual operations and mod and div

diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html index b9fccf11c5..3c1518fba2 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZDivTrunc.html @@ -51,7 +51,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc

-

Euclidean Division for integers (Trunc convention)

+

Euclidean Division for integers (Trunc convention)

@@ -208,7 +208,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -306,7 +306,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc

-

Order results about rem and quot

+

Order results about rem and quot

@@ -441,7 +441,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZDivTrunc

-

Relations between usual operations and rem and quot

+

Relations between usual operations and rem and quot

diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html index 9ad29fe5ab..3cc7a7a0ad 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZLcm.html @@ -51,7 +51,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZLcm

-

Least Common Multiple

+

Least Common Multiple

diff --git a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html index be37264416..aa7abf492b 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Abstract.ZMaxMin.html @@ -51,7 +51,7 @@

Library Stdlib.Numbers.Integer.Abstract.ZMaxMin

-

Properties of minimum and maximum specific to integer numbers

+

Properties of minimum and maximum specific to integer numbers

diff --git a/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html b/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html index 4de3319cc2..81f309ac09 100644 --- a/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html +++ b/master/stdlib/Stdlib.Numbers.Integer.Binary.ZBinary.html @@ -70,7 +70,7 @@

Library Stdlib.Numbers.Integer.Binary.ZBinary

-

An order tactic for integers

+

An order tactic for integers

diff --git a/master/stdlib/Stdlib.Numbers.NaryFunctions.html b/master/stdlib/Stdlib.Numbers.NaryFunctions.html index ab1ac94e03..1d8da946e7 100644 --- a/master/stdlib/Stdlib.Numbers.NaryFunctions.html +++ b/master/stdlib/Stdlib.Numbers.NaryFunctions.html @@ -56,7 +56,7 @@

Library Stdlib.Numbers.NaryFunctions

-

Generic dependently-typed operators about n-ary functions

+

Generic dependently-typed operators about n-ary functions

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html b/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html index bb2111e366..4a73756a26 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZAdd.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.NatInt.NZAdd

-

Some properties of the addition for modules implementing NZBasicFunsSig'

+

Some properties of the addition for modules implementing NZBasicFunsSig'

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html b/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html index d85b44ce55..0214a5110f 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZAddOrder.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.NatInt.NZAddOrder

-

Properties of orders and addition for modules implementing NZOrdAxiomsSig'

+

Properties of orders and addition for modules implementing NZOrdAxiomsSig'

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html b/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html index 30fbf4698f..c9f81aa379 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZAxioms.html @@ -51,7 +51,7 @@

Library Stdlib.Numbers.NatInt.NZAxioms

Initial Author : Evgeny Makarov, INRIA, 2007
-

Axioms for a domain with zero, succ, pred.

+

Axioms for a domain with zero, succ, pred.

@@ -144,7 +144,7 @@

Library Stdlib.Numbers.NatInt.NZAxioms

-

Axiomatization of a domain with zero, succ, pred and a bi-directional induction principle.

+

Axiomatization of a domain with zero, succ, pred and a bi-directional induction principle.

@@ -226,7 +226,7 @@

Library Stdlib.Numbers.NatInt.NZAxioms

-

Axiomatization of some more constants

+

Axiomatization of some more constants

@@ -283,7 +283,7 @@

Library Stdlib.Numbers.NatInt.NZAxioms

-

Axiomatization of basic operations : + - *

+

Axiomatization of basic operations : + - *

@@ -339,7 +339,7 @@

Library Stdlib.Numbers.NatInt.NZAxioms

-

Axiomatization of order

+

Axiomatization of order

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html b/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html index 9596f619b7..93d5cad5c8 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZBase.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.NatInt.NZBase

-

Basic lemmas about modules implementing NZDomainSig'

+

Basic lemmas about modules implementing NZDomainSig'

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html b/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html index 158fcdfa00..1e23ebe97f 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZDiv.html @@ -189,7 +189,7 @@

Library Stdlib.Numbers.NatInt.NZDiv

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -222,7 +222,7 @@

Library Stdlib.Numbers.NatInt.NZDiv

-

Order results about mod and div

+

Order results about mod and div

@@ -334,7 +334,7 @@

Library Stdlib.Numbers.NatInt.NZDiv

-

Relations between usual operations and mod and div

+

Relations between usual operations and mod and div

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html b/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html index 1997781b99..b26eb3b52a 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZDomain.html @@ -77,7 +77,7 @@

Library Stdlib.Numbers.NatInt.NZDomain

-

Relationship between points thanks to succ and pred.

+

Relationship between points thanks to succ and pred.

@@ -128,7 +128,7 @@

Library Stdlib.Numbers.NatInt.NZDomain

-

Study of initial point w.r.t. succ (if any).

+

Study of initial point w.r.t. succ (if any).

@@ -252,7 +252,7 @@

Library Stdlib.Numbers.NatInt.NZDomain

-

An alternative induction principle using S and P.

+

An alternative induction principle using S and P.

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html b/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html index bb4922b64c..8c21530d37 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZLog.html @@ -417,7 +417,7 @@

Library Stdlib.Numbers.NatInt.NZLog

-

log2_up : a binary logarithm that rounds up instead of down

+

log2_up : a binary logarithm that rounds up instead of down

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html b/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html index 4688b8a38c..d4e04a9d16 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZMul.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.NatInt.NZMul

-

Some properties of the multiplication for modules implementing NZBasicFunsSig'

+

Some properties of the multiplication for modules implementing NZBasicFunsSig'

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html b/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html index 6bdcfdd62b..d76168c42c 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZMulOrder.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.NatInt.NZMulOrder

-

Properties of orders and multiplication for modules implementing NZOrdAxiomsSig'

+

Properties of orders and multiplication for modules implementing NZOrdAxiomsSig'

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html b/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html index eae5142592..54ee8eb09c 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZOrder.html @@ -48,7 +48,7 @@

Library Stdlib.Numbers.NatInt.NZOrder

-

Lemmas about orders for modules implementing NZOrdSig'

+

Lemmas about orders for modules implementing NZOrdSig'

@@ -104,11 +104,11 @@

Library Stdlib.Numbers.NatInt.NZOrder

-

Basic facts about le, lt, eq and succ

+

Basic facts about le, lt, eq and succ

-

Direct consequences of the specifications of lt and le

+

Direct consequences of the specifications of lt and le

@@ -166,7 +166,7 @@

Library Stdlib.Numbers.NatInt.NZOrder

-

Asymmetry and transitivity.

+

Asymmetry and transitivity.

@@ -187,7 +187,7 @@

Library Stdlib.Numbers.NatInt.NZOrder

-

Some type classes about order

+

Some type classes about order

@@ -208,7 +208,7 @@

Library Stdlib.Numbers.NatInt.NZOrder

-

Making the generic order tactic

+

Making the generic order tactic

@@ -235,7 +235,7 @@

Library Stdlib.Numbers.NatInt.NZOrder

-

Some direct consequences of order

+

Some direct consequences of order

@@ -280,7 +280,7 @@

Library Stdlib.Numbers.NatInt.NZOrder

-

More properties of < and <= with respect to S and 0

+

More properties of < and <= with respect to S and 0

@@ -336,7 +336,7 @@

Library Stdlib.Numbers.NatInt.NZOrder

-

More Trichotomy, decidability and double negation elimination

+

More Trichotomy, decidability and double negation elimination

@@ -447,7 +447,7 @@

Library Stdlib.Numbers.NatInt.NZOrder

-

Order-based induction principles

+

Order-based induction principles

diff --git a/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html b/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html index 765b3aa688..989112098d 100644 --- a/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html +++ b/master/stdlib/Stdlib.Numbers.NatInt.NZSqrt.html @@ -347,7 +347,7 @@

Library Stdlib.Numbers.NatInt.NZSqrt

-

sqrt_up : a square root that rounds up instead of down

+

sqrt_up : a square root that rounds up instead of down

diff --git a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html index 96053fbe8c..cf9bfde679 100644 --- a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html +++ b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NDiv.html @@ -157,7 +157,7 @@

Library Stdlib.Numbers.Natural.Abstract.NDiv

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -190,7 +190,7 @@

Library Stdlib.Numbers.Natural.Abstract.NDiv

-

Order results about mod and div

+

Order results about mod and div

@@ -288,7 +288,7 @@

Library Stdlib.Numbers.Natural.Abstract.NDiv

-

Relations between usual operations and mod and div

+

Relations between usual operations and mod and div

diff --git a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html index 81ae95c37a..ce7f83fc77 100644 --- a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html +++ b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NLcm.html @@ -51,7 +51,7 @@

Library Stdlib.Numbers.Natural.Abstract.NLcm

-

Least Common Multiple

+

Least Common Multiple

diff --git a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html index 151645ebca..701b191a3c 100644 --- a/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html +++ b/master/stdlib/Stdlib.Numbers.Natural.Abstract.NMaxMin.html @@ -51,7 +51,7 @@

Library Stdlib.Numbers.Natural.Abstract.NMaxMin

-

Properties of minimum and maximum specific to natural numbers

+

Properties of minimum and maximum specific to natural numbers

diff --git a/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html b/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html index e911a47378..ba8a3ca7d5 100644 --- a/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html +++ b/master/stdlib/Stdlib.Numbers.Natural.Binary.NBinary.html @@ -58,7 +58,7 @@

Library Stdlib.Numbers.Natural.Binary.NBinary

-

BinNat.N already implements NAxiomSig

+

BinNat.N already implements NAxiomSig

diff --git a/master/stdlib/Stdlib.PArith.BinPos.html b/master/stdlib/Stdlib.PArith.BinPos.html index c07a60cae3..c7597e1add 100644 --- a/master/stdlib/Stdlib.PArith.BinPos.html +++ b/master/stdlib/Stdlib.PArith.BinPos.html @@ -56,7 +56,7 @@

Library Stdlib.PArith.BinPos

-

Binary positive numbers, operations and properties

+

Binary positive numbers, operations and properties

@@ -90,7 +90,7 @@

Library Stdlib.PArith.BinPos

-

Definitions of operations, now in a separate file

+

Definitions of operations, now in a separate file

@@ -112,7 +112,7 @@

Library Stdlib.PArith.BinPos

-

Logical Predicates

+

Logical Predicates

@@ -144,11 +144,11 @@

Library Stdlib.PArith.BinPos

-

Properties of operations over positive numbers

+

Properties of operations over positive numbers

-

Decidability of equality on binary positive numbers

+

Decidability of equality on binary positive numbers

@@ -160,11 +160,11 @@

Library Stdlib.PArith.BinPos

-

Properties of successor on binary positive numbers

+

Properties of successor on binary positive numbers

-

Specification of xI in term of succ and xO

+

Specification of xI in term of succ and xO

@@ -179,7 +179,7 @@

Library Stdlib.PArith.BinPos

-

Successor and double

+

Successor and double

@@ -203,7 +203,7 @@

Library Stdlib.PArith.BinPos

-

Successor and predecessor

+

Successor and predecessor

@@ -224,7 +224,7 @@

Library Stdlib.PArith.BinPos

-

Injectivity of successor

+

Injectivity of successor

@@ -236,7 +236,7 @@

Library Stdlib.PArith.BinPos

-

Predecessor to N

+

Predecessor to N

@@ -248,11 +248,11 @@

Library Stdlib.PArith.BinPos

-

Properties of addition on binary positive numbers

+

Properties of addition on binary positive numbers

-

Specification of succ in term of add

+

Specification of succ in term of add

@@ -267,7 +267,7 @@

Library Stdlib.PArith.BinPos

-

Specification of add_carry

+

Specification of add_carry

@@ -279,7 +279,7 @@

Library Stdlib.PArith.BinPos

-

Commutativity

+

Commutativity

@@ -291,7 +291,7 @@

Library Stdlib.PArith.BinPos

-

Permutation of add and succ

+

Permutation of add and succ

@@ -306,7 +306,7 @@

Library Stdlib.PArith.BinPos

-

No neutral elements for addition

+

No neutral elements for addition

@@ -316,7 +316,7 @@

Library Stdlib.PArith.BinPos

-

Simplification

+

Simplification

@@ -349,7 +349,7 @@

Library Stdlib.PArith.BinPos

-

Addition is associative

+

Addition is associative

@@ -361,7 +361,7 @@

Library Stdlib.PArith.BinPos

-

Commutation of addition and double

+

Commutation of addition and double

@@ -381,7 +381,7 @@

Library Stdlib.PArith.BinPos

-

Miscellaneous

+

Miscellaneous

@@ -393,7 +393,7 @@

Library Stdlib.PArith.BinPos

-

Peano induction and recursion on binary positive positive numbers

+

Peano induction and recursion on binary positive positive numbers

@@ -511,11 +511,11 @@

Library Stdlib.PArith.BinPos

-

Properties of multiplication on binary positive numbers

+

Properties of multiplication on binary positive numbers

-

One is neutral for multiplication

+

One is neutral for multiplication

@@ -530,7 +530,7 @@

Library Stdlib.PArith.BinPos

-

Right reduction properties for multiplication

+

Right reduction properties for multiplication

@@ -545,7 +545,7 @@

Library Stdlib.PArith.BinPos

-

Commutativity of multiplication

+

Commutativity of multiplication

@@ -557,7 +557,7 @@

Library Stdlib.PArith.BinPos

-

Distributivity of multiplication over addition

+

Distributivity of multiplication over addition

@@ -574,7 +574,7 @@

Library Stdlib.PArith.BinPos

-

Associativity of multiplication

+

Associativity of multiplication

@@ -586,7 +586,7 @@

Library Stdlib.PArith.BinPos

-

Successor and multiplication

+

Successor and multiplication

@@ -601,7 +601,7 @@

Library Stdlib.PArith.BinPos

-

Parity properties of multiplication

+

Parity properties of multiplication

@@ -616,7 +616,7 @@

Library Stdlib.PArith.BinPos

-

Simplification properties of multiplication

+

Simplification properties of multiplication

@@ -637,7 +637,7 @@

Library Stdlib.PArith.BinPos

-

Inversion of multiplication

+

Inversion of multiplication

@@ -655,7 +655,7 @@

Library Stdlib.PArith.BinPos

-

Square

+

Square

@@ -670,7 +670,7 @@

Library Stdlib.PArith.BinPos

-

Properties of iter

+

Properties of iter

@@ -716,7 +716,7 @@

Library Stdlib.PArith.BinPos

-

Properties of power

+

Properties of power

@@ -731,7 +731,7 @@

Library Stdlib.PArith.BinPos

-

Properties of square

+

Properties of square

@@ -743,7 +743,7 @@

Library Stdlib.PArith.BinPos

-

Properties of sub_mask

+

Properties of sub_mask

@@ -790,7 +790,7 @@

Library Stdlib.PArith.BinPos

-

Properties of boolean comparisons

+

Properties of boolean comparisons

@@ -819,7 +819,7 @@

Library Stdlib.PArith.BinPos

-

Properties of comparison on binary positive numbers

+

Properties of comparison on binary positive numbers

@@ -1013,7 +1013,7 @@

Library Stdlib.PArith.BinPos

-

Facts about gt and ge

+

Facts about gt and ge

@@ -1046,7 +1046,7 @@

Library Stdlib.PArith.BinPos

-

Comparison and the successor

+

Comparison and the successor

@@ -1072,7 +1072,7 @@

Library Stdlib.PArith.BinPos

-

1 is the least positive number

+

1 is the least positive number

@@ -1090,7 +1090,7 @@

Library Stdlib.PArith.BinPos

-

Properties of the order

+

Properties of the order

@@ -1163,7 +1163,7 @@

Library Stdlib.PArith.BinPos

-

Comparison and addition

+

Comparison and addition

@@ -1178,7 +1178,7 @@

Library Stdlib.PArith.BinPos

-

Order and addition

+

Order and addition

@@ -1208,7 +1208,7 @@

Library Stdlib.PArith.BinPos

-

Comparison and multiplication

+

Comparison and multiplication

@@ -1223,7 +1223,7 @@

Library Stdlib.PArith.BinPos

-

Order and multiplication

+

Order and multiplication

@@ -1259,7 +1259,7 @@

Library Stdlib.PArith.BinPos

-

Properties of subtraction on binary positive numbers

+

Properties of subtraction on binary positive numbers

@@ -1277,7 +1277,7 @@

Library Stdlib.PArith.BinPos

-

Properties of subtraction without underflow

+

Properties of subtraction without underflow

@@ -1375,7 +1375,7 @@

Library Stdlib.PArith.BinPos

-

Results concerning size and size_nat

+

Results concerning size and size_nat

@@ -1393,7 +1393,7 @@

Library Stdlib.PArith.BinPos

-

Properties of min and max

+

Properties of min and max

@@ -1489,7 +1489,7 @@

Library Stdlib.PArith.BinPos

-

Results concerning iter_op

+

Results concerning iter_op

@@ -1510,7 +1510,7 @@

Library Stdlib.PArith.BinPos

-

Results about of_nat and of_succ_nat

+

Results about of_nat and of_succ_nat

@@ -1528,7 +1528,7 @@

Library Stdlib.PArith.BinPos

-

Correctness proofs for the square root function

+

Correctness proofs for the square root function

@@ -1554,7 +1554,7 @@

Library Stdlib.PArith.BinPos

-

Correctness proofs for the gcd function

+

Correctness proofs for the gcd function

diff --git a/master/stdlib/Stdlib.PArith.BinPosDef.html b/master/stdlib/Stdlib.PArith.BinPosDef.html index 2e6416a6dc..05ebb58bba 100644 --- a/master/stdlib/Stdlib.PArith.BinPosDef.html +++ b/master/stdlib/Stdlib.PArith.BinPosDef.html @@ -48,7 +48,7 @@

Library Stdlib.PArith.BinPosDef

-

Binary positive numbers, operations

+

Binary positive numbers, operations

@@ -79,7 +79,7 @@

Library Stdlib.PArith.BinPosDef

-

Operations over positive numbers

+

Operations over positive numbers

@@ -91,7 +91,7 @@

Library Stdlib.PArith.BinPosDef

-

Predecessor

+

Predecessor

@@ -108,7 +108,7 @@

Library Stdlib.PArith.BinPosDef

-

Predecessor with mask

+

Predecessor with mask

@@ -132,7 +132,7 @@

Library Stdlib.PArith.BinPosDef

-

Power

+

Power

@@ -147,7 +147,7 @@

Library Stdlib.PArith.BinPosDef

-

Square

+

Square

@@ -164,7 +164,7 @@

Library Stdlib.PArith.BinPosDef

-

Number of digits in a positive number

+

Number of digits in a positive number

@@ -214,7 +214,7 @@

Library Stdlib.PArith.BinPosDef

-

Boolean equality and comparisons

+

Boolean equality and comparisons

@@ -232,7 +232,7 @@

Library Stdlib.PArith.BinPosDef

-

Greatest Common Divisor

+

Greatest Common Divisor

@@ -397,7 +397,7 @@

Library Stdlib.PArith.BinPosDef

-

From Peano natural numbers to binary positive numbers

+

From Peano natural numbers to binary positive numbers

@@ -417,7 +417,7 @@

Library Stdlib.PArith.BinPosDef

-

Conversion with a decimal representation for printing/parsing

+

Conversion with a decimal representation for printing/parsing

diff --git a/master/stdlib/Stdlib.PArith.POrderedType.html b/master/stdlib/Stdlib.PArith.POrderedType.html index f86c3fa804..1266851bcb 100644 --- a/master/stdlib/Stdlib.PArith.POrderedType.html +++ b/master/stdlib/Stdlib.PArith.POrderedType.html @@ -54,7 +54,7 @@

Library Stdlib.PArith.POrderedType

-

DecidableType structure for positive numbers

+

DecidableType structure for positive numbers

@@ -70,7 +70,7 @@

Library Stdlib.PArith.POrderedType

interfaces, such as DecidableType or EqualityType.
-

OrderedType structure for positive numbers

+

OrderedType structure for positive numbers

@@ -86,7 +86,7 @@

Library Stdlib.PArith.POrderedType

and a OrderedType (and also as a DecidableType).
-

An order tactic for positive numbers

+

An order tactic for positive numbers

diff --git a/master/stdlib/Stdlib.Program.Combinators.html b/master/stdlib/Stdlib.Program.Combinators.html index e5c95414fe..9b04cd4656 100644 --- a/master/stdlib/Stdlib.Program.Combinators.html +++ b/master/stdlib/Stdlib.Program.Combinators.html @@ -46,7 +46,7 @@

Library Stdlib.Program.Combinators

-

Proofs about standard combinators, exports functional extensionality.

+

Proofs about standard combinators, exports functional extensionality.

diff --git a/master/stdlib/Stdlib.QArith.QArith_base.html b/master/stdlib/Stdlib.QArith.QArith_base.html index 1095c70f07..e686a0aef2 100644 --- a/master/stdlib/Stdlib.QArith.QArith_base.html +++ b/master/stdlib/Stdlib.QArith.QArith_base.html @@ -58,7 +58,7 @@

Library Stdlib.QArith.QArith_base

-

Definition of Q and basic properties

+

Definition of Q and basic properties

@@ -201,7 +201,7 @@

Library Stdlib.QArith.QArith_base

-

Properties of equality.

+

Properties of equality.

@@ -293,7 +293,7 @@

Library Stdlib.QArith.QArith_base

-

Addition, multiplication and opposite

+

Addition, multiplication and opposite

@@ -560,7 +560,7 @@

Library Stdlib.QArith.QArith_base

-

Setoid compatibility results

+

Setoid compatibility results

@@ -634,7 +634,7 @@

Library Stdlib.QArith.QArith_base

-

Properties of Qadd

+

Properties of Qadd

@@ -674,7 +674,7 @@

Library Stdlib.QArith.QArith_base

-

Properties of Qopp

+

Properties of Qopp

@@ -705,7 +705,7 @@

Library Stdlib.QArith.QArith_base

-

Properties of Qmult

+

Properties of Qmult

@@ -787,7 +787,7 @@

Library Stdlib.QArith.QArith_base

-

inject_Z is a ring homomorphism:

+

inject_Z is a ring homomorphism:

@@ -805,7 +805,7 @@

Library Stdlib.QArith.QArith_base

-

Inverse and division.

+

Inverse and division.

@@ -857,11 +857,11 @@

Library Stdlib.QArith.QArith_base

-

Reduction and construction of Q

+

Reduction and construction of Q

-

Removal/introduction of common factor in both numerator and denominator.

+

Removal/introduction of common factor in both numerator and denominator.

@@ -906,7 +906,7 @@

Library Stdlib.QArith.QArith_base

-

Construction of a new rational by multiplication with an integer or pure fraction

+

Construction of a new rational by multiplication with an integer or pure fraction

@@ -932,7 +932,7 @@

Library Stdlib.QArith.QArith_base

-

Properties of order upon Q.

+

Properties of order upon Q.

@@ -1046,7 +1046,7 @@

Library Stdlib.QArith.QArith_base

-

Some decidability results about orders.

+

Some decidability results about orders.

@@ -1064,7 +1064,7 @@

Library Stdlib.QArith.QArith_base

-

Compatibility of addition with order

+

Compatibility of addition with order

@@ -1117,7 +1117,7 @@

Library Stdlib.QArith.QArith_base

-

Compatibility of multiplication with order.

+

Compatibility of multiplication with order.

@@ -1176,7 +1176,7 @@

Library Stdlib.QArith.QArith_base

-

Compatibility of inversion and division with order

+

Compatibility of inversion and division with order

@@ -1227,7 +1227,7 @@

Library Stdlib.QArith.QArith_base

-

Rational to the n-th power

+

Rational to the n-th power

diff --git a/master/stdlib/Stdlib.QArith.QOrderedType.html b/master/stdlib/Stdlib.QArith.QOrderedType.html index 800ec884af..9b3a5a37fb 100644 --- a/master/stdlib/Stdlib.QArith.QOrderedType.html +++ b/master/stdlib/Stdlib.QArith.QOrderedType.html @@ -54,7 +54,7 @@

Library Stdlib.QArith.QOrderedType

-

DecidableType structure for rational numbers

+

DecidableType structure for rational numbers

@@ -92,7 +92,7 @@

Library Stdlib.QArith.QOrderedType

interfaces, such as DecidableType or EqualityType.
-

OrderedType structure for rational numbers

+

OrderedType structure for rational numbers

@@ -123,7 +123,7 @@

Library Stdlib.QArith.QOrderedType

-

An order tactic for Q numbers

+

An order tactic for Q numbers

diff --git a/master/stdlib/Stdlib.QArith.Qcabs.html b/master/stdlib/Stdlib.QArith.Qcabs.html index 061d90cb79..d7de835fbd 100644 --- a/master/stdlib/Stdlib.QArith.Qcabs.html +++ b/master/stdlib/Stdlib.QArith.Qcabs.html @@ -48,7 +48,7 @@

Library Stdlib.QArith.Qcabs

-

An absolute value for normalized rational numbers.

+

An absolute value for normalized rational numbers.

diff --git a/master/stdlib/Stdlib.QArith.Qfield.html b/master/stdlib/Stdlib.QArith.Qfield.html index c83cbd7c2e..f0f98331df 100644 --- a/master/stdlib/Stdlib.QArith.Qfield.html +++ b/master/stdlib/Stdlib.QArith.Qfield.html @@ -53,7 +53,7 @@

Library Stdlib.QArith.Qfield

-

field and ring tactics for rational numbers

+

field and ring tactics for rational numbers

diff --git a/master/stdlib/Stdlib.QArith.Qminmax.html b/master/stdlib/Stdlib.QArith.Qminmax.html index eea40470f1..ed3e3cb6da 100644 --- a/master/stdlib/Stdlib.QArith.Qminmax.html +++ b/master/stdlib/Stdlib.QArith.Qminmax.html @@ -51,7 +51,7 @@

Library Stdlib.QArith.Qminmax

-

Maximum and Minimum of two rational numbers

+

Maximum and Minimum of two rational numbers

@@ -100,7 +100,7 @@

Library Stdlib.QArith.Qminmax

-

Properties specific to the Q domain

+

Properties specific to the Q domain

diff --git a/master/stdlib/Stdlib.QArith.Qpower.html b/master/stdlib/Stdlib.QArith.Qpower.html index 1a497302de..29f8a4fd52 100644 --- a/master/stdlib/Stdlib.QArith.Qpower.html +++ b/master/stdlib/Stdlib.QArith.Qpower.html @@ -51,11 +51,11 @@

Library Stdlib.QArith.Qpower

-

Properties of Qpower_positive

+

Properties of Qpower_positive

-

Values of Qpower_positive for specific arguments

+

Values of Qpower_positive for specific arguments

@@ -70,7 +70,7 @@

Library Stdlib.QArith.Qpower

-

Relation of Qpower_positive to zero

+

Relation of Qpower_positive to zero

@@ -85,7 +85,7 @@

Library Stdlib.QArith.Qpower

-

Qpower_positive and multiplication, exponent subtraction

+

Qpower_positive and multiplication, exponent subtraction

@@ -100,7 +100,7 @@

Library Stdlib.QArith.Qpower

-

Qpower_positive and inversion, division, exponent subtraction

+

Qpower_positive and inversion, division, exponent subtraction

@@ -117,7 +117,7 @@

Library Stdlib.QArith.Qpower

-

Qpower and exponent multiplication

+

Qpower and exponent multiplication

@@ -130,7 +130,7 @@

Library Stdlib.QArith.Qpower

-

Qpower_positive decomposition

+

Qpower_positive decomposition

@@ -146,11 +146,11 @@

Library Stdlib.QArith.Qpower

-

Properties of Qpower

+

Properties of Qpower

-

Values of Qpower for specific arguments

+

Values of Qpower for specific arguments

@@ -173,7 +173,7 @@

Library Stdlib.QArith.Qpower

-

Relation of Qpower to zero

+

Relation of Qpower to zero

@@ -195,7 +195,7 @@

Library Stdlib.QArith.Qpower

-

Relation of Qpower to 1

+

Relation of Qpower to 1

@@ -220,7 +220,7 @@

Library Stdlib.QArith.Qpower

-

Qpower and multiplication, exponent addition

+

Qpower and multiplication, exponent addition

@@ -238,7 +238,7 @@

Library Stdlib.QArith.Qpower

-

Qpower and inversion, division, exponent subtraction

+

Qpower and inversion, division, exponent subtraction

@@ -271,7 +271,7 @@

Library Stdlib.QArith.Qpower

-

Qpower and exponent multiplication

+

Qpower and exponent multiplication

@@ -283,7 +283,7 @@

Library Stdlib.QArith.Qpower

-

Qpower decomposition

+

Qpower decomposition

@@ -304,7 +304,7 @@

Library Stdlib.QArith.Qpower

-

Compatibility of Qpower with relational operators

+

Compatibility of Qpower with relational operators

@@ -329,7 +329,7 @@

Library Stdlib.QArith.Qpower

-

Qpower and inject_Z

+

Qpower and inject_Z

@@ -341,7 +341,7 @@

Library Stdlib.QArith.Qpower

-

Square

+

Square

@@ -353,7 +353,7 @@

Library Stdlib.QArith.Qpower

-

Power of 2 positive upper bound

+

Power of 2 positive upper bound

diff --git a/master/stdlib/Stdlib.Reals.AltSeries.html b/master/stdlib/Stdlib.Reals.AltSeries.html index 01a0eb1fde..6023f18559 100644 --- a/master/stdlib/Stdlib.Reals.AltSeries.html +++ b/master/stdlib/Stdlib.Reals.AltSeries.html @@ -58,7 +58,7 @@

Library Stdlib.Reals.AltSeries

-

Formalization of alternated series

+

Formalization of alternated series

@@ -121,7 +121,7 @@

Library Stdlib.Reals.AltSeries

-

Convergence of alternated series

+

Convergence of alternated series

@@ -143,7 +143,7 @@

Library Stdlib.Reals.AltSeries

-

Application : construction of PI

+

Application : construction of PI

diff --git a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html index 8ec643170f..3d0ce2df36 100644 --- a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html +++ b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyReals.html @@ -407,7 +407,7 @@

Library Stdlib.Reals.Cauchy.ConstructiveCauchyReals

-

Algebraic operations

+

Algebraic operations

diff --git a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html index 344789e5b2..e5daa40606 100644 --- a/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html +++ b/master/stdlib/Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult.html @@ -297,7 +297,7 @@

Library Stdlib.Reals.Cauchy.ConstructiveCauchyRealsMult

-

Field

+

Field

diff --git a/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html b/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html index 9820227e9e..53daa904b1 100644 --- a/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html +++ b/master/stdlib/Stdlib.Reals.Cauchy.QExtra.html @@ -55,7 +55,7 @@

Library Stdlib.Reals.Cauchy.QExtra

-

Power of 2 open and closed upper and lower bounds for q : Q

+

Power of 2 open and closed upper and lower bounds for q : Q

@@ -96,7 +96,7 @@

Library Stdlib.Reals.Cauchy.QExtra

-

Power of two closed upper bound q <= 2^z

+

Power of two closed upper bound q <= 2^z

@@ -125,7 +125,7 @@

Library Stdlib.Reals.Cauchy.QExtra

-

Power of two open upper bound q < 2^z and Qabs q < 2^z

+

Power of two open upper bound q < 2^z and Qabs q < 2^z

@@ -171,7 +171,7 @@

Library Stdlib.Reals.Cauchy.QExtra

-

Power of 2 open lower bounds for 2^z < q and 2^z < Qabs q

+

Power of 2 open lower bounds for 2^z < q and 2^z < Qabs q

@@ -202,7 +202,7 @@

Library Stdlib.Reals.Cauchy.QExtra

-

Existential formulations of power of 2 lower and upper bounds

+

Existential formulations of power of 2 lower and upper bounds

diff --git a/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html b/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html index 2c16c857e9..04f7f7655e 100644 --- a/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html +++ b/master/stdlib/Stdlib.Reals.ClassicalDedekindReals.html @@ -64,7 +64,7 @@

Library Stdlib.Reals.ClassicalDedekindReals

-

Q Auxiliary Lemmas

+

Q Auxiliary Lemmas

@@ -87,11 +87,11 @@

Library Stdlib.Reals.ClassicalDedekindReals

-

Dedekind cuts

+

Dedekind cuts

-

Definition

+

Definition

@@ -133,7 +133,7 @@

Library Stdlib.Reals.ClassicalDedekindReals

-

Properties

+

Properties

@@ -165,11 +165,11 @@

Library Stdlib.Reals.ClassicalDedekindReals

-

Classical Dedekind reals

+

Classical Dedekind reals

-

Definition

+

Definition

@@ -182,7 +182,7 @@

Library Stdlib.Reals.ClassicalDedekindReals

-

Induction principle

+

Induction principle

@@ -196,11 +196,11 @@

Library Stdlib.Reals.ClassicalDedekindReals

-

Conversion to and from constructive Cauchy real CReal

+

Conversion to and from constructive Cauchy real CReal

-

Conversion from CReal to DReal

+

Conversion from CReal to DReal

@@ -219,7 +219,7 @@

Library Stdlib.Reals.ClassicalDedekindReals

-

Conversion from DReal to CReal

+

Conversion from DReal to CReal

@@ -270,7 +270,7 @@

Library Stdlib.Reals.ClassicalDedekindReals

-

Order for DReal

+

Order for DReal

diff --git a/master/stdlib/Stdlib.Reals.RIneq.html b/master/stdlib/Stdlib.Reals.RIneq.html index ad9e1bd27f..2efca6a813 100644 --- a/master/stdlib/Stdlib.Reals.RIneq.html +++ b/master/stdlib/Stdlib.Reals.RIneq.html @@ -48,7 +48,7 @@

Library Stdlib.Reals.RIneq

-

Basic lemmas for the classical real numbers

+

Basic lemmas for the classical real numbers

@@ -136,7 +136,7 @@

Library Stdlib.Reals.RIneq

-

Relation between orders and equality

+

Relation between orders and equality

@@ -226,7 +226,7 @@

Library Stdlib.Reals.RIneq

-

Strong decidable equality

+

Strong decidable equality

@@ -238,11 +238,11 @@

Library Stdlib.Reals.RIneq

-

Relating <, >, <= and >=

+

Relating <, >, <= and >=

-

Relating strict and large orders

+

Relating strict and large orders

@@ -347,7 +347,7 @@

Library Stdlib.Reals.RIneq

-

Asymmetry

+

Asymmetry

@@ -368,7 +368,7 @@

Library Stdlib.Reals.RIneq

-

Antisymmetry

+

Antisymmetry

@@ -397,7 +397,7 @@

Library Stdlib.Reals.RIneq

-

Compatibility with equality

+

Compatibility with equality

@@ -414,7 +414,7 @@

Library Stdlib.Reals.RIneq

-

Transitivity

+

Transitivity

@@ -457,7 +457,7 @@

Library Stdlib.Reals.RIneq

-

(Classical) decidability with sumbool types

+

(Classical) decidability with sumbool types

@@ -508,7 +508,7 @@

Library Stdlib.Reals.RIneq

-

Same theorems with disjunctions instead of sumbools

+

Same theorems with disjunctions instead of sumbools

@@ -562,7 +562,7 @@

Library Stdlib.Reals.RIneq

-

Addition

+

Addition

@@ -636,7 +636,7 @@

Library Stdlib.Reals.RIneq

-

Opposite

+

Opposite

@@ -678,7 +678,7 @@

Library Stdlib.Reals.RIneq

-

Multiplication

+

Multiplication

@@ -794,7 +794,7 @@

Library Stdlib.Reals.RIneq

-

Opposite and multiplication

+

Opposite and multiplication

@@ -822,7 +822,7 @@

Library Stdlib.Reals.RIneq

-

Subtraction

+

Subtraction

@@ -934,7 +934,7 @@

Library Stdlib.Reals.RIneq

-

Inverse

+

Inverse

@@ -988,7 +988,7 @@

Library Stdlib.Reals.RIneq

-

Square function

+

Square function

@@ -1010,11 +1010,11 @@

Library Stdlib.Reals.RIneq

-

Order and addition

+

Order and addition

-

Compatibility

+

Compatibility

@@ -1115,7 +1115,7 @@

Library Stdlib.Reals.RIneq

-

Cancellation

+

Cancellation

@@ -1167,7 +1167,7 @@

Library Stdlib.Reals.RIneq

-

Comparison of addition with left operand

+

Comparison of addition with left operand

@@ -1188,7 +1188,7 @@

Library Stdlib.Reals.RIneq

-

Sign of addition

+

Sign of addition

@@ -1221,11 +1221,11 @@

Library Stdlib.Reals.RIneq

-

Order and opposite

+

Order and opposite

-

Contravariant compatibility

+

Contravariant compatibility

@@ -1301,7 +1301,7 @@

Library Stdlib.Reals.RIneq

-

Cancellation

+

Cancellation

@@ -1326,7 +1326,7 @@

Library Stdlib.Reals.RIneq

-

Sign of opposite

+

Sign of opposite

@@ -1341,14 +1341,14 @@

Library Stdlib.Reals.RIneq

-

Order and multiplication

+

Order and multiplication

Remark: Rmult_lt_compat_l is in Raxioms.v
-

Covariant compatibility

+

Covariant compatibility

@@ -1419,7 +1419,7 @@

Library Stdlib.Reals.RIneq

-

Contravariant compatibility

+

Contravariant compatibility

@@ -1444,7 +1444,7 @@

Library Stdlib.Reals.RIneq

-

Sign of multiplication

+

Sign of multiplication

@@ -1479,7 +1479,7 @@

Library Stdlib.Reals.RIneq

-

Order and square function

+

Order and square function

@@ -1500,7 +1500,7 @@

Library Stdlib.Reals.RIneq

-

Zero is less than one

+

Zero is less than one

@@ -1517,7 +1517,7 @@

Library Stdlib.Reals.RIneq

-

Sign of inverse

+

Sign of inverse

@@ -1536,7 +1536,7 @@

Library Stdlib.Reals.RIneq

-

Cancellation in inequalities of products

+

Cancellation in inequalities of products

@@ -1563,7 +1563,7 @@

Library Stdlib.Reals.RIneq

-

Order and inverse

+

Order and inverse

@@ -1594,7 +1594,7 @@

Library Stdlib.Reals.RIneq

-

Sign of inverse

+

Sign of inverse

@@ -1609,7 +1609,7 @@

Library Stdlib.Reals.RIneq

-

Order and subtraction

+

Order and subtraction

@@ -1653,7 +1653,7 @@

Library Stdlib.Reals.RIneq

-

Division

+

Division

@@ -1753,7 +1753,7 @@

Library Stdlib.Reals.RIneq

-

Sign of division

+

Sign of division

@@ -1778,7 +1778,7 @@

Library Stdlib.Reals.RIneq

-

Miscellaneous

+

Miscellaneous

@@ -1832,7 +1832,7 @@

Library Stdlib.Reals.RIneq

-

Injection from nat to R

+

Injection from nat to R

@@ -1931,7 +1931,7 @@

Library Stdlib.Reals.RIneq

-

Injection from positive to R

+

Injection from positive to R

@@ -2012,7 +2012,7 @@

Library Stdlib.Reals.RIneq

-

Injection from Z to R

+

Injection from Z to R

@@ -2154,7 +2154,7 @@

Library Stdlib.Reals.RIneq

-

Definitions of new types

+

Definitions of new types

@@ -2181,7 +2181,7 @@

Library Stdlib.Reals.RIneq

-

A few common instances

+

A few common instances

@@ -2197,7 +2197,7 @@

Library Stdlib.Reals.RIneq

-

Compatibility

+

Compatibility

diff --git a/master/stdlib/Stdlib.Reals.ROrderedType.html b/master/stdlib/Stdlib.Reals.ROrderedType.html index 794f60a999..8d5b12dad4 100644 --- a/master/stdlib/Stdlib.Reals.ROrderedType.html +++ b/master/stdlib/Stdlib.Reals.ROrderedType.html @@ -54,7 +54,7 @@

Library Stdlib.Reals.ROrderedType

-

DecidableType structure for real numbers

+

DecidableType structure for real numbers

@@ -89,7 +89,7 @@

Library Stdlib.Reals.ROrderedType

and a DecidableTypeOrig.
-

OrderedType structure for binary integers

+

OrderedType structure for binary integers

@@ -137,7 +137,7 @@

Library Stdlib.Reals.ROrderedType

and a OrderedType (and also as a DecidableType).
-

An order tactic for real numbers

+

An order tactic for real numbers

diff --git a/master/stdlib/Stdlib.Reals.R_Ifp.html b/master/stdlib/Stdlib.Reals.R_Ifp.html index 375f8f9ef9..d0a68b5850 100644 --- a/master/stdlib/Stdlib.Reals.R_Ifp.html +++ b/master/stdlib/Stdlib.Reals.R_Ifp.html @@ -61,7 +61,7 @@

Library Stdlib.Reals.R_Ifp

-

Fractional part

+

Fractional part

@@ -96,7 +96,7 @@

Library Stdlib.Reals.R_Ifp

-

Properties

+

Properties

diff --git a/master/stdlib/Stdlib.Reals.R_sqrt.html b/master/stdlib/Stdlib.Reals.R_sqrt.html index 5004233e34..afc0fee038 100644 --- a/master/stdlib/Stdlib.Reals.R_sqrt.html +++ b/master/stdlib/Stdlib.Reals.R_sqrt.html @@ -54,7 +54,7 @@

Library Stdlib.Reals.R_sqrt

-

Continuous extension of Rsqrt on R

+

Continuous extension of Rsqrt on R

@@ -195,7 +195,7 @@

Library Stdlib.Reals.R_sqrt

-

Resolution of a*X^2+b*X+c=0

+

Resolution of a*X^2+b*X+c=0

diff --git a/master/stdlib/Stdlib.Reals.Ranalysis1.html b/master/stdlib/Stdlib.Reals.Ranalysis1.html index 508385d158..a885729e0e 100644 --- a/master/stdlib/Stdlib.Reals.Ranalysis1.html +++ b/master/stdlib/Stdlib.Reals.Ranalysis1.html @@ -56,7 +56,7 @@

Library Stdlib.Reals.Ranalysis1

-

Basic operations on functions

+

Basic operations on functions

@@ -105,7 +105,7 @@

Library Stdlib.Reals.Ranalysis1

-

Variations of functions

+

Variations of functions

@@ -126,7 +126,7 @@

Library Stdlib.Reals.Ranalysis1

-

Definition of continuity as a limit

+

Definition of continuity as a limit

@@ -230,7 +230,7 @@

Library Stdlib.Reals.Ranalysis1

-

Derivative's definition using Landau's kernel

+

Derivative's definition using Landau's kernel

@@ -270,7 +270,7 @@

Library Stdlib.Reals.Ranalysis1

-

Class of differential functions

+

Class of differential functions

@@ -326,7 +326,7 @@

Library Stdlib.Reals.Ranalysis1

-

Equivalence of this definition with the one using limit concept

+

Equivalence of this definition with the one using limit concept

@@ -357,7 +357,7 @@

Library Stdlib.Reals.Ranalysis1

-

derivability -> continuity

+

derivability -> continuity

@@ -375,11 +375,11 @@

Library Stdlib.Reals.Ranalysis1

-

Main rules

+

Main rules

-

Rules for derivable_pt_lim (value of the derivative at a point)

+

Rules for derivable_pt_lim (value of the derivative at a point)

@@ -457,7 +457,7 @@

Library Stdlib.Reals.Ranalysis1

-

Rules for derivable_pt (derivability at a point)

+

Rules for derivable_pt (derivability at a point)

@@ -523,7 +523,7 @@

Library Stdlib.Reals.Ranalysis1

-

Rules for derivable (derivability on whole domain)

+

Rules for derivable (derivability on whole domain)

@@ -567,7 +567,7 @@

Library Stdlib.Reals.Ranalysis1

-

Rules for derive_pt (derivative function on whole domain)

+

Rules for derive_pt (derivative function on whole domain)

@@ -637,7 +637,7 @@

Library Stdlib.Reals.Ranalysis1

-

Definition and derivative of power function with natural number exponent

+

Definition and derivative of power function with natural number exponent

@@ -671,7 +671,7 @@

Library Stdlib.Reals.Ranalysis1

-

Irrelevance of derivability proof for derivative

+

Irrelevance of derivability proof for derivative

@@ -699,7 +699,7 @@

Library Stdlib.Reals.Ranalysis1

-

Local extremum's condition

+

Local extremum's condition

diff --git a/master/stdlib/Stdlib.Reals.Ranalysis5.html b/master/stdlib/Stdlib.Reals.Ranalysis5.html index b587fa9f2d..b0f80fbe26 100644 --- a/master/stdlib/Stdlib.Reals.Ranalysis5.html +++ b/master/stdlib/Stdlib.Reals.Ranalysis5.html @@ -62,7 +62,7 @@

Library Stdlib.Reals.Ranalysis5

-

Preliminaries lemmas

+

Preliminaries lemmas

@@ -138,11 +138,11 @@

Library Stdlib.Reals.Ranalysis5

-

The derivative of a reciprocal function

+

The derivative of a reciprocal function

-

Continuity of the reciprocal function

+

Continuity of the reciprocal function

@@ -170,7 +170,7 @@

Library Stdlib.Reals.Ranalysis5

-

Derivability of the reciprocal function

+

Derivability of the reciprocal function

@@ -244,7 +244,7 @@

Library Stdlib.Reals.Ranalysis5

-

Value of the derivative of the reciprocal function

+

Value of the derivative of the reciprocal function

@@ -320,7 +320,7 @@

Library Stdlib.Reals.Ranalysis5

-

Existence of the derivative of a function which is the limit of a sequence of functions

+

Existence of the derivative of a function which is the limit of a sequence of functions

diff --git a/master/stdlib/Stdlib.Reals.Ratan.html b/master/stdlib/Stdlib.Reals.Ratan.html index 87c6279217..a786394e2c 100644 --- a/master/stdlib/Stdlib.Reals.Ratan.html +++ b/master/stdlib/Stdlib.Reals.Ratan.html @@ -69,11 +69,11 @@

Library Stdlib.Reals.Ratan

-

Preliminaries

+

Preliminaries

-

Various generic lemmas which probably should go somewhere else

+

Various generic lemmas which probably should go somewhere else

@@ -121,11 +121,11 @@

Library Stdlib.Reals.Ratan

-

Properties of tangent

+

Properties of tangent

-

Derivative of tangent

+

Derivative of tangent

@@ -143,7 +143,7 @@

Library Stdlib.Reals.Ratan

-

Proof that tangent is a bijection

+

Proof that tangent is a bijection

@@ -193,11 +193,11 @@

Library Stdlib.Reals.Ratan

-

Definition of arctangent

+

Definition of arctangent

-

Definition of arctangent as the reciprocal function of tangent and proof of this status

+

Definition of arctangent as the reciprocal function of tangent and proof of this status

@@ -270,7 +270,7 @@

Library Stdlib.Reals.Ratan

-

Derivative of arctangent

+

Derivative of arctangent

@@ -287,7 +287,7 @@

Library Stdlib.Reals.Ratan

-

Definition of the arctangent function as the sum of the arctan power series

+

Definition of the arctangent function as the sum of the arctan power series

@@ -335,7 +335,7 @@

Library Stdlib.Reals.Ratan

-

Proof of the equivalence of the two definitions between -1 and 1

+

Proof of the equivalence of the two definitions between -1 and 1

@@ -474,7 +474,7 @@

Library Stdlib.Reals.Ratan

-

Relation between arctangent and sine and cosine

+

Relation between arctangent and sine and cosine

@@ -491,7 +491,7 @@

Library Stdlib.Reals.Ratan

-

Definition of arcsine based on arctangent

+

Definition of arcsine based on arctangent

@@ -509,7 +509,7 @@

Library Stdlib.Reals.Ratan

-

Relation between arcsin and arctangent

+

Relation between arcsin and arctangent

@@ -522,7 +522,7 @@

Library Stdlib.Reals.Ratan

-

arcsine of specific values

+

arcsine of specific values

@@ -544,7 +544,7 @@

Library Stdlib.Reals.Ratan

-

Bounds of arcsine

+

Bounds of arcsine

@@ -561,7 +561,7 @@

Library Stdlib.Reals.Ratan

-

arcsine is the left and right inverse of sine

+

arcsine is the left and right inverse of sine

@@ -578,7 +578,7 @@

Library Stdlib.Reals.Ratan

-

Relation between arcsin, cosine and tangent

+

Relation between arcsin, cosine and tangent

@@ -595,7 +595,7 @@

Library Stdlib.Reals.Ratan

-

Derivative of arcsine

+

Derivative of arcsine

@@ -612,7 +612,7 @@

Library Stdlib.Reals.Ratan

-

Definition of arccosine based on arctangent

+

Definition of arccosine based on arctangent

@@ -630,7 +630,7 @@

Library Stdlib.Reals.Ratan

-

Relation between arccosine, arcsine and arctangent

+

Relation between arccosine, arcsine and arctangent

@@ -651,7 +651,7 @@

Library Stdlib.Reals.Ratan

-

arccosine of specific values

+

arccosine of specific values

@@ -673,7 +673,7 @@

Library Stdlib.Reals.Ratan

-

Bounds of arccosine

+

Bounds of arccosine

@@ -690,7 +690,7 @@

Library Stdlib.Reals.Ratan

-

arccosine is the left and right inverse of cosine

+

arccosine is the left and right inverse of cosine

@@ -707,7 +707,7 @@

Library Stdlib.Reals.Ratan

-

Relation between arccosine, sine and tangent

+

Relation between arccosine, sine and tangent

@@ -724,7 +724,7 @@

Library Stdlib.Reals.Ratan

-

Derivative of arccosine

+

Derivative of arccosine

diff --git a/master/stdlib/Stdlib.Reals.Raxioms.html b/master/stdlib/Stdlib.Reals.Raxioms.html index 86f29bb626..ef84222c0d 100644 --- a/master/stdlib/Stdlib.Reals.Raxioms.html +++ b/master/stdlib/Stdlib.Reals.Raxioms.html @@ -69,11 +69,11 @@

Library Stdlib.Reals.Raxioms

-

Field operations

+

Field operations

-

Addition

+

Addition

@@ -141,7 +141,7 @@

Library Stdlib.Reals.Raxioms

-

Multiplication

+

Multiplication

@@ -176,7 +176,7 @@

Library Stdlib.Reals.Raxioms

-

Distributivity

+

Distributivity

@@ -192,11 +192,11 @@

Library Stdlib.Reals.Raxioms

-

Order

+

Order

-

Lower

+

Lower

@@ -222,7 +222,7 @@

Library Stdlib.Reals.Raxioms

-

Injection from N to R

+

Injection from N to R

@@ -241,7 +241,7 @@

Library Stdlib.Reals.Raxioms

-

R Archimedean

+

R Archimedean

@@ -269,7 +269,7 @@

Library Stdlib.Reals.Raxioms

-

R Complete

+

R Complete

diff --git a/master/stdlib/Stdlib.Reals.Rbasic_fun.html b/master/stdlib/Stdlib.Reals.Rbasic_fun.html index a2b6aff554..df0dbf9317 100644 --- a/master/stdlib/Stdlib.Reals.Rbasic_fun.html +++ b/master/stdlib/Stdlib.Reals.Rbasic_fun.html @@ -64,7 +64,7 @@

Library Stdlib.Reals.Rbasic_fun

-

Rmin

+

Rmin

@@ -130,7 +130,7 @@

Library Stdlib.Reals.Rbasic_fun

-

Rmax

+

Rmax

@@ -202,7 +202,7 @@

Library Stdlib.Reals.Rbasic_fun

-

Rabsolu

+

Rabsolu

diff --git a/master/stdlib/Stdlib.Reals.Rdefinitions.html b/master/stdlib/Stdlib.Reals.Rdefinitions.html index 8e5335951a..4921eae17a 100644 --- a/master/stdlib/Stdlib.Reals.Rdefinitions.html +++ b/master/stdlib/Stdlib.Reals.Rdefinitions.html @@ -178,7 +178,7 @@

Library Stdlib.Reals.Rdefinitions

-

Injection from Z to R

+

Injection from Z to R

@@ -266,7 +266,7 @@

Library Stdlib.Reals.Rdefinitions

-

Number notation for constants

+

Number notation for constants

diff --git a/master/stdlib/Stdlib.Reals.Rfunctions.html b/master/stdlib/Stdlib.Reals.Rfunctions.html index e2270e7ffb..b9ad6130c0 100644 --- a/master/stdlib/Stdlib.Reals.Rfunctions.html +++ b/master/stdlib/Stdlib.Reals.Rfunctions.html @@ -74,7 +74,7 @@

Library Stdlib.Reals.Rfunctions

-

Lemmas about factorial

+

Lemmas about factorial

@@ -91,7 +91,7 @@

Library Stdlib.Reals.Rfunctions

-

Power

+

Power

@@ -230,7 +230,7 @@

Library Stdlib.Reals.Rfunctions

-

PowerRZ

+

PowerRZ

@@ -379,7 +379,7 @@

Library Stdlib.Reals.Rfunctions

-

Sum of n first naturals

+

Sum of n first naturals

@@ -403,7 +403,7 @@

Library Stdlib.Reals.Rfunctions

-

Sum

+

Sum

@@ -431,7 +431,7 @@

Library Stdlib.Reals.Rfunctions

-

Distance in R

+

Distance in R

@@ -477,7 +477,7 @@

Library Stdlib.Reals.Rfunctions

-

Infinite Sum

+

Infinite Sum

diff --git a/master/stdlib/Stdlib.Reals.Rgeom.html b/master/stdlib/Stdlib.Reals.Rgeom.html index c11a763960..f6cb787537 100644 --- a/master/stdlib/Stdlib.Reals.Rgeom.html +++ b/master/stdlib/Stdlib.Reals.Rgeom.html @@ -56,7 +56,7 @@

Library Stdlib.Reals.Rgeom

-

Distance

+

Distance

@@ -90,7 +90,7 @@

Library Stdlib.Reals.Rgeom

-

Translation

+

Translation

@@ -112,7 +112,7 @@

Library Stdlib.Reals.Rgeom

-

Rotation

+

Rotation

@@ -146,7 +146,7 @@

Library Stdlib.Reals.Rgeom

-

Similarity

+

Similarity

diff --git a/master/stdlib/Stdlib.Reals.RiemannInt_SF.html b/master/stdlib/Stdlib.Reals.RiemannInt_SF.html index 43db84bd35..6544e3fccc 100644 --- a/master/stdlib/Stdlib.Reals.RiemannInt_SF.html +++ b/master/stdlib/Stdlib.Reals.RiemannInt_SF.html @@ -62,7 +62,7 @@

Library Stdlib.Reals.RiemannInt_SF

-

Each bounded subset of N has a maximal element

+

Each bounded subset of N has a maximal element

@@ -84,7 +84,7 @@

Library Stdlib.Reals.RiemannInt_SF

-

Step functions

+

Step functions

@@ -124,7 +124,7 @@

Library Stdlib.Reals.RiemannInt_SF

-

Class of step functions

+

Class of step functions

@@ -156,7 +156,7 @@

Library Stdlib.Reals.RiemannInt_SF

-

Integral of step functions

+

Integral of step functions

@@ -170,7 +170,7 @@

Library Stdlib.Reals.RiemannInt_SF

-

Properties of step functions

+

Properties of step functions

diff --git a/master/stdlib/Stdlib.Reals.Rlimit.html b/master/stdlib/Stdlib.Reals.Rlimit.html index 8b97286ec2..3304e7f8ca 100644 --- a/master/stdlib/Stdlib.Reals.Rlimit.html +++ b/master/stdlib/Stdlib.Reals.Rlimit.html @@ -62,7 +62,7 @@

Library Stdlib.Reals.Rlimit

-

Calculus

+

Calculus

@@ -100,7 +100,7 @@

Library Stdlib.Reals.Rlimit

-

Metric space

+

Metric space

@@ -119,7 +119,7 @@

Library Stdlib.Reals.Rlimit

-

Limit in Metric space

+

Limit in Metric space

@@ -138,7 +138,7 @@

Library Stdlib.Reals.Rlimit

-

R is a metric space

+

R is a metric space

@@ -154,7 +154,7 @@

Library Stdlib.Reals.Rlimit

-

Limit 1 arg

+

Limit 1 arg

diff --git a/master/stdlib/Stdlib.Reals.Rlogic.html b/master/stdlib/Stdlib.Reals.Rlogic.html index cd0ebe8330..c0339b4090 100644 --- a/master/stdlib/Stdlib.Reals.Rlogic.html +++ b/master/stdlib/Stdlib.Reals.Rlogic.html @@ -77,7 +77,7 @@

Library Stdlib.Reals.Rlogic

-

Decidability of arithmetical statements

+

Decidability of arithmetical statements

@@ -103,7 +103,7 @@

Library Stdlib.Reals.Rlogic

-

Derivability of the Archimedean axiom

+

Derivability of the Archimedean axiom

@@ -123,7 +123,7 @@

Library Stdlib.Reals.Rlogic

-

Decidability of negated formulas

+

Decidability of negated formulas

diff --git a/master/stdlib/Stdlib.Reals.Rminmax.html b/master/stdlib/Stdlib.Reals.Rminmax.html index 5f6439e0f9..376235a0dc 100644 --- a/master/stdlib/Stdlib.Reals.Rminmax.html +++ b/master/stdlib/Stdlib.Reals.Rminmax.html @@ -54,7 +54,7 @@

Library Stdlib.Reals.Rminmax

-

Maximum and Minimum of two real numbers

+

Maximum and Minimum of two real numbers

@@ -111,7 +111,7 @@

Library Stdlib.Reals.Rminmax

-

Properties specific to the R domain

+

Properties specific to the R domain

diff --git a/master/stdlib/Stdlib.Reals.Rpower.html b/master/stdlib/Stdlib.Reals.Rpower.html index 33d8d34d7c..381e37c972 100644 --- a/master/stdlib/Stdlib.Reals.Rpower.html +++ b/master/stdlib/Stdlib.Reals.Rpower.html @@ -76,7 +76,7 @@

Library Stdlib.Reals.Rpower

-

Properties of Exp

+

Properties of Exp

@@ -129,7 +129,7 @@

Library Stdlib.Reals.Rpower

-

Properties of Ln

+

Properties of Ln

@@ -169,7 +169,7 @@

Library Stdlib.Reals.Rpower

-

Definition of Rpower

+

Definition of Rpower

@@ -181,7 +181,7 @@

Library Stdlib.Reals.Rpower

-

Properties of Rpower

+

Properties of Rpower

@@ -248,7 +248,7 @@

Library Stdlib.Reals.Rpower

-

Differentiability of Ln and Rpower

+

Differentiability of Ln and Rpower

diff --git a/master/stdlib/Stdlib.Reals.Rseries.html b/master/stdlib/Stdlib.Reals.Rseries.html index 4919253d93..30f1b161dd 100644 --- a/master/stdlib/Stdlib.Reals.Rseries.html +++ b/master/stdlib/Stdlib.Reals.Rseries.html @@ -57,7 +57,7 @@

Library Stdlib.Reals.Rseries

-

Definition of sequence and properties

+

Definition of sequence and properties

@@ -129,7 +129,7 @@

Library Stdlib.Reals.Rseries

-

Definition of Power Series and properties

+

Definition of Power Series and properties

diff --git a/master/stdlib/Stdlib.Reals.Rtopology.html b/master/stdlib/Stdlib.Reals.Rtopology.html index cba8258092..0e57809680 100644 --- a/master/stdlib/Stdlib.Reals.Rtopology.html +++ b/master/stdlib/Stdlib.Reals.Rtopology.html @@ -58,7 +58,7 @@

Library Stdlib.Reals.Rtopology

-

General definitions and propositions

+

General definitions and propositions

@@ -306,7 +306,7 @@

Library Stdlib.Reals.Rtopology

-

Proof of Bolzano-Weierstrass theorem

+

Proof of Bolzano-Weierstrass theorem

@@ -379,7 +379,7 @@

Library Stdlib.Reals.Rtopology

-

Proof of Heine's theorem

+

Proof of Heine's theorem

diff --git a/master/stdlib/Stdlib.Reals.Rtrigo1.html b/master/stdlib/Stdlib.Reals.Rtrigo1.html index bf275ac75d..82b7a1a014 100644 --- a/master/stdlib/Stdlib.Reals.Rtrigo1.html +++ b/master/stdlib/Stdlib.Reals.Rtrigo1.html @@ -165,7 +165,7 @@

Library Stdlib.Reals.Rtrigo1

-

Some properties of cos, sin and tan

+

Some properties of cos, sin and tan

@@ -259,7 +259,7 @@

Library Stdlib.Reals.Rtrigo1

-

Using series definitions of cos and sin

+

Using series definitions of cos and sin

@@ -293,7 +293,7 @@

Library Stdlib.Reals.Rtrigo1

-

Increasing and decreasing of cos and sin

+

Increasing and decreasing of cos and sin

diff --git a/master/stdlib/Stdlib.Reals.Rtrigo_def.html b/master/stdlib/Stdlib.Reals.Rtrigo_def.html index 2131237d60..0b080af517 100644 --- a/master/stdlib/Stdlib.Reals.Rtrigo_def.html +++ b/master/stdlib/Stdlib.Reals.Rtrigo_def.html @@ -54,7 +54,7 @@

Library Stdlib.Reals.Rtrigo_def

-

Definition of exponential

+

Definition of exponential

@@ -80,7 +80,7 @@

Library Stdlib.Reals.Rtrigo_def

-

Definition of hyperbolic functions

+

Definition of hyperbolic functions

@@ -154,7 +154,7 @@

Library Stdlib.Reals.Rtrigo_def

-

Properties

+

Properties

diff --git a/master/stdlib/Stdlib.Reals.Rtrigo_facts.html b/master/stdlib/Stdlib.Reals.Rtrigo_facts.html index 5a0a679c5b..7c88f49900 100644 --- a/master/stdlib/Stdlib.Reals.Rtrigo_facts.html +++ b/master/stdlib/Stdlib.Reals.Rtrigo_facts.html @@ -60,7 +60,7 @@

Library Stdlib.Reals.Rtrigo_facts

-

Bounds of expressions with trigonometric functions

+

Bounds of expressions with trigonometric functions

@@ -77,11 +77,11 @@

Library Stdlib.Reals.Rtrigo_facts

-

Express trigonometric functions with each other

+

Express trigonometric functions with each other

-

Express sin and cos with each other

+

Express sin and cos with each other

@@ -114,7 +114,7 @@

Library Stdlib.Reals.Rtrigo_facts

-

Express tan with sin and cos

+

Express tan with sin and cos

@@ -147,7 +147,7 @@

Library Stdlib.Reals.Rtrigo_facts

-

Express sin and cos with tan

+

Express sin and cos with tan

@@ -164,7 +164,7 @@

Library Stdlib.Reals.Rtrigo_facts

-

Additional shift lemmas for sin, cos, tan

+

Additional shift lemmas for sin, cos, tan

diff --git a/master/stdlib/Stdlib.Relations.Operators_Properties.html b/master/stdlib/Stdlib.Relations.Operators_Properties.html index eb89e6cab8..ef960451b0 100644 --- a/master/stdlib/Stdlib.Relations.Operators_Properties.html +++ b/master/stdlib/Stdlib.Relations.Operators_Properties.html @@ -48,8 +48,8 @@

Library Stdlib.Relations.Operators_Properties

-

Some properties of the operators on relations

-

Initial version by Bruno Barras

+

Some properties of the operators on relations

+

Initial version by Bruno Barras

@@ -184,12 +184,12 @@

Library Stdlib.Relations.Operators_Properties

-

Equivalences between the different definition of the reflexive,

+

Equivalences between the different definition of the reflexive,

symmetric, transitive closures
-

Contributed by P. Castéran

+

Contributed by P. Castéran

diff --git a/master/stdlib/Stdlib.Relations.Relation_Operators.html b/master/stdlib/Stdlib.Relations.Relation_Operators.html index df110c7bc5..8b3611bf54 100644 --- a/master/stdlib/Stdlib.Relations.Relation_Operators.html +++ b/master/stdlib/Stdlib.Relations.Relation_Operators.html @@ -48,14 +48,14 @@

Library Stdlib.Relations.Relation_Operators

-

Some operators on relations

-

Initial authors: Bruno Barras, Cristina Cornes

-

-

Some of the initial definitions were taken from :

-

Constructing Recursion Operators in Type Theory

-

L. Paulson JSC (1986) 2, 325-355

-

-

Further extensions by Pierre Castéran

+

Some operators on relations

+

Initial authors: Bruno Barras, Cristina Cornes

+

+

Some of the initial definitions were taken from :

+

Constructing Recursion Operators in Type Theory

+

L. Paulson JSC (1986) 2, 325-355

+

+

Further extensions by Pierre Castéran

@@ -67,7 +67,7 @@

Library Stdlib.Relations.Relation_Operators

-

Transitive closure

+

Transitive closure

@@ -123,7 +123,7 @@

Library Stdlib.Relations.Relation_Operators

-

Reflexive closure

+

Reflexive closure

@@ -153,7 +153,7 @@

Library Stdlib.Relations.Relation_Operators

-

Reflexive-transitive closure

+

Reflexive-transitive closure

@@ -213,7 +213,7 @@

Library Stdlib.Relations.Relation_Operators

-

Reflexive-symmetric-transitive closure

+

Reflexive-symmetric-transitive closure

@@ -275,7 +275,7 @@

Library Stdlib.Relations.Relation_Operators

-

Converse of a relation

+

Converse of a relation

@@ -293,7 +293,7 @@

Library Stdlib.Relations.Relation_Operators

-

Union of relations

+

Union of relations

@@ -311,7 +311,7 @@

Library Stdlib.Relations.Relation_Operators

-

Disjoint union of relations

+

Disjoint union of relations

@@ -335,7 +335,7 @@

Library Stdlib.Relations.Relation_Operators

-

Lexicographic order on dependent pairs

+

Lexicographic order on dependent pairs

@@ -368,7 +368,7 @@

Library Stdlib.Relations.Relation_Operators

-

Lexicographic order on pairs

+

Lexicographic order on pairs

@@ -403,7 +403,7 @@

Library Stdlib.Relations.Relation_Operators

-

Product of relations

+

Product of relations

@@ -429,7 +429,7 @@

Library Stdlib.Relations.Relation_Operators

-

Multiset of two relations

+

Multiset of two relations

diff --git a/master/stdlib/Stdlib.Sorting.CPermutation.html b/master/stdlib/Stdlib.Sorting.CPermutation.html index 3e06d08463..6344b7c19a 100644 --- a/master/stdlib/Stdlib.Sorting.CPermutation.html +++ b/master/stdlib/Stdlib.Sorting.CPermutation.html @@ -48,7 +48,7 @@

Library Stdlib.Sorting.CPermutation

-

Circular Shifts (aka Cyclic Permutations)

+

Circular Shifts (aka Cyclic Permutations)

diff --git a/master/stdlib/Stdlib.Sorting.Heap.html b/master/stdlib/Stdlib.Sorting.Heap.html index 887eb3394c..d6331a381f 100644 --- a/master/stdlib/Stdlib.Sorting.Heap.html +++ b/master/stdlib/Stdlib.Sorting.Heap.html @@ -73,11 +73,11 @@

Library Stdlib.Sorting.Heap

-

Trees and heap trees

+

Trees and heap trees

-

Definition of trees over an ordered set

+

Definition of trees over an ordered set

@@ -142,7 +142,7 @@

Library Stdlib.Sorting.Heap

-

The heap property

+

The heap property

@@ -194,7 +194,7 @@

Library Stdlib.Sorting.Heap

-

Merging two sorted lists

+

Merging two sorted lists

@@ -226,7 +226,7 @@

Library Stdlib.Sorting.Heap

-

From trees to multisets

+

From trees to multisets

@@ -262,11 +262,11 @@

Library Stdlib.Sorting.Heap

-

From lists to sorted lists

+

From lists to sorted lists

-

Specification of heap insertion

+

Specification of heap insertion

@@ -288,7 +288,7 @@

Library Stdlib.Sorting.Heap

-

Building a heap from a list

+

Building a heap from a list

@@ -308,7 +308,7 @@

Library Stdlib.Sorting.Heap

-

Building the sorted list

+

Building the sorted list

@@ -329,7 +329,7 @@

Library Stdlib.Sorting.Heap

-

Specification of treesort

+

Specification of treesort

diff --git a/master/stdlib/Stdlib.Sorting.PermutSetoid.html b/master/stdlib/Stdlib.Sorting.PermutSetoid.html index 649669fdb8..b703be35cb 100644 --- a/master/stdlib/Stdlib.Sorting.PermutSetoid.html +++ b/master/stdlib/Stdlib.Sorting.PermutSetoid.html @@ -88,7 +88,7 @@

Library Stdlib.Sorting.PermutSetoid

-

From lists to multisets

+

From lists to multisets

@@ -127,7 +127,7 @@

Library Stdlib.Sorting.PermutSetoid

-

permutation: definition and basic properties

+

permutation: definition and basic properties

@@ -201,7 +201,7 @@

Library Stdlib.Sorting.PermutSetoid

-

Some inversion results.

+

Some inversion results.

diff --git a/master/stdlib/Stdlib.Sorting.Permutation.html b/master/stdlib/Stdlib.Sorting.Permutation.html index 0c1e9da3a7..4beed87719 100644 --- a/master/stdlib/Stdlib.Sorting.Permutation.html +++ b/master/stdlib/Stdlib.Sorting.Permutation.html @@ -48,7 +48,7 @@

Library Stdlib.Sorting.Permutation

-

List permutations as a composition of adjacent transpositions

+

List permutations as a composition of adjacent transpositions

diff --git a/master/stdlib/Stdlib.Strings.Ascii.html b/master/stdlib/Stdlib.Strings.Ascii.html index 5e5cc5a51f..0ac436c561 100644 --- a/master/stdlib/Stdlib.Strings.Ascii.html +++ b/master/stdlib/Stdlib.Strings.Ascii.html @@ -61,7 +61,7 @@

Library Stdlib.Strings.Ascii

-

Definition of ascii characters

+

Definition of ascii characters

@@ -141,7 +141,7 @@

Library Stdlib.Strings.Ascii

-

Conversion between natural numbers modulo 256 and ascii characters

+

Conversion between natural numbers modulo 256 and ascii characters

@@ -283,7 +283,7 @@

Library Stdlib.Strings.Ascii

-

Concrete syntax

+

Concrete syntax

diff --git a/master/stdlib/Stdlib.Strings.PString.html b/master/stdlib/Stdlib.Strings.PString.html index 28bdab6aff..1fe37fdb9d 100644 --- a/master/stdlib/Stdlib.Strings.PString.html +++ b/master/stdlib/Stdlib.Strings.PString.html @@ -127,7 +127,7 @@

Library Stdlib.Strings.PString

-

Properties of string length

+

Properties of string length

@@ -168,7 +168,7 @@

Library Stdlib.Strings.PString

-

Properties of string get

+

Properties of string get

@@ -211,7 +211,7 @@

Library Stdlib.Strings.PString

-

Properties of string comparison

+

Properties of string comparison

@@ -292,7 +292,7 @@

Library Stdlib.Strings.PString

-

Properties of make

+

Properties of make

@@ -304,7 +304,7 @@

Library Stdlib.Strings.PString

-

Properties of cat

+

Properties of cat

@@ -326,7 +326,7 @@

Library Stdlib.Strings.PString

-

Properties of sub

+

Properties of sub

@@ -374,7 +374,7 @@

Library Stdlib.Strings.PString

-

Ordered type

+

Ordered type

diff --git a/master/stdlib/Stdlib.Strings.String.html b/master/stdlib/Stdlib.Strings.String.html index 7f73a1aeb3..6f57ecb685 100644 --- a/master/stdlib/Stdlib.Strings.String.html +++ b/master/stdlib/Stdlib.Strings.String.html @@ -64,7 +64,7 @@

Library Stdlib.Strings.String

-

Definition of strings

+

Definition of strings

@@ -135,7 +135,7 @@

Library Stdlib.Strings.String

-

Compare strings lexicographically

+

Compare strings lexicographically

@@ -185,7 +185,7 @@

Library Stdlib.Strings.String

-

Concatenation of strings

+

Concatenation of strings

@@ -276,7 +276,7 @@

Library Stdlib.Strings.String

-

Substrings

+

Substrings

@@ -325,7 +325,7 @@

Library Stdlib.Strings.String

-

Concatenating lists of strings

+

Concatenating lists of strings

@@ -346,7 +346,7 @@

Library Stdlib.Strings.String

-

Test functions

+

Test functions

@@ -498,7 +498,7 @@

Library Stdlib.Strings.String

-

Conversion to/from list ascii and list byte

+

Conversion to/from list ascii and list byte

@@ -541,7 +541,7 @@

Library Stdlib.Strings.String

-

Concrete syntax

+

Concrete syntax

diff --git a/master/stdlib/Stdlib.Structures.DecidableType.html b/master/stdlib/Stdlib.Structures.DecidableType.html index 7735998437..a4fb685fb1 100644 --- a/master/stdlib/Stdlib.Structures.DecidableType.html +++ b/master/stdlib/Stdlib.Structures.DecidableType.html @@ -59,7 +59,7 @@

Library Stdlib.Structures.DecidableType

FSets and FMap. Please use Structures/Equalities.v directly now.
-

Types with Equalities, and nothing more (for subtyping purpose)

+

Types with Equalities, and nothing more (for subtyping purpose)

@@ -71,7 +71,7 @@

Library Stdlib.Structures.DecidableType

-

Types with decidable Equalities (but no ordering)

+

Types with decidable Equalities (but no ordering)

@@ -83,7 +83,7 @@

Library Stdlib.Structures.DecidableType

-

Additional notions about keys and datas used in FMap

+

Additional notions about keys and datas used in FMap

diff --git a/master/stdlib/Stdlib.Structures.DecidableTypeEx.html b/master/stdlib/Stdlib.Structures.DecidableTypeEx.html index ad9fc139d4..cc1207a02a 100644 --- a/master/stdlib/Stdlib.Structures.DecidableTypeEx.html +++ b/master/stdlib/Stdlib.Structures.DecidableTypeEx.html @@ -56,7 +56,7 @@

Library Stdlib.Structures.DecidableTypeEx

FSets and FMap. Please use Structures/Equalities.v directly now.
-

Examples of Decidable Type structures.

+

Examples of Decidable Type structures.

diff --git a/master/stdlib/Stdlib.Structures.Equalities.html b/master/stdlib/Stdlib.Structures.Equalities.html index b5a2da82f5..9d73846add 100644 --- a/master/stdlib/Stdlib.Structures.Equalities.html +++ b/master/stdlib/Stdlib.Structures.Equalities.html @@ -68,7 +68,7 @@

Library Stdlib.Structures.Equalities

-

Structure with just a base type t

+

Structure with just a base type t

@@ -82,7 +82,7 @@

Library Stdlib.Structures.Equalities

-

Structure with an equality relation eq

+

Structure with an equality relation eq

@@ -108,7 +108,7 @@

Library Stdlib.Structures.Equalities

-

Specification of the equality via the Equivalence type class

+

Specification of the equality via the Equivalence type class

@@ -123,7 +123,7 @@

Library Stdlib.Structures.Equalities

-

Earlier specification of equality by three separate lemmas.

+

Earlier specification of equality by three separate lemmas.

@@ -143,7 +143,7 @@

Library Stdlib.Structures.Equalities

-

Types with decidable equality

+

Types with decidable equality

@@ -157,7 +157,7 @@

Library Stdlib.Structures.Equalities

-

Boolean Equality

+

Boolean Equality

@@ -252,7 +252,7 @@

Library Stdlib.Structures.Equalities

-

Compatibility wrapper from/to the old version of

+

Compatibility wrapper from/to the old version of

EqualityType and DecidableType
@@ -291,7 +291,7 @@

Library Stdlib.Structures.Equalities

-

Having eq_dec is equivalent to having eqb and its spec.

+

Having eq_dec is equivalent to having eqb and its spec.

@@ -389,7 +389,7 @@

Library Stdlib.Structures.Equalities

-

UsualDecidableType

+

UsualDecidableType

diff --git a/master/stdlib/Stdlib.Structures.EqualitiesFacts.html b/master/stdlib/Stdlib.Structures.EqualitiesFacts.html index d9db4ae4e9..45cdbfe7eb 100644 --- a/master/stdlib/Stdlib.Structures.EqualitiesFacts.html +++ b/master/stdlib/Stdlib.Structures.EqualitiesFacts.html @@ -54,7 +54,7 @@

Library Stdlib.Structures.EqualitiesFacts

-

Keys and datas used in the future MMaps

+

Keys and datas used in the future MMaps

@@ -226,7 +226,7 @@

Library Stdlib.Structures.EqualitiesFacts

-

PairDecidableType

+

PairDecidableType

diff --git a/master/stdlib/Stdlib.Structures.GenericMinMax.html b/master/stdlib/Stdlib.Structures.GenericMinMax.html index 42fbb79451..6334b30dd7 100644 --- a/master/stdlib/Stdlib.Structures.GenericMinMax.html +++ b/master/stdlib/Stdlib.Structures.GenericMinMax.html @@ -51,11 +51,11 @@

Library Stdlib.Structures.GenericMinMax

-

A Generic construction of min and max

+

A Generic construction of min and max

-

First, an interface for types with max and/or min

+

First, an interface for types with max and/or min

@@ -81,7 +81,7 @@

Library Stdlib.Structures.GenericMinMax

-

Any OrderedTypeFull can be equipped by max and min

+

Any OrderedTypeFull can be equipped by max and min

based on the compare function.
@@ -122,7 +122,7 @@

Library Stdlib.Structures.GenericMinMax

-

Consequences of the minimalist interface: facts about max and min.

+

Consequences of the minimalist interface: facts about max and min.

@@ -200,7 +200,7 @@

Library Stdlib.Structures.GenericMinMax

-

Semi-lattice algebraic properties of max

+

Semi-lattice algebraic properties of max

@@ -227,7 +227,7 @@

Library Stdlib.Structures.GenericMinMax

-

Least-upper bound properties of max

+

Least-upper bound properties of max

@@ -386,7 +386,7 @@

Library Stdlib.Structures.GenericMinMax

-

Combined properties of min and max

+

Combined properties of min and max

@@ -468,7 +468,7 @@

Library Stdlib.Structures.GenericMinMax

-

Properties requiring a decidable order

+

Properties requiring a decidable order

@@ -548,7 +548,7 @@

Library Stdlib.Structures.GenericMinMax

-

When the equality is Leibniz, we can skip a few Proper precondition.

+

When the equality is Leibniz, we can skip a few Proper precondition.

diff --git a/master/stdlib/Stdlib.Structures.OrderedType.html b/master/stdlib/Stdlib.Structures.OrderedType.html index 09e7e9d7ab..dca0696b97 100644 --- a/master/stdlib/Stdlib.Structures.OrderedType.html +++ b/master/stdlib/Stdlib.Structures.OrderedType.html @@ -56,7 +56,7 @@

Library Stdlib.Structures.OrderedType

FSets and FMap. Please use Structures/Orders.v directly now.
-

Ordered types

+

Ordered types

@@ -137,7 +137,7 @@

Library Stdlib.Structures.OrderedType

-

Ordered types properties

+

Ordered types properties

diff --git a/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html b/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html index fdabfe49de..1aeee505c1 100644 --- a/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html +++ b/master/stdlib/Stdlib.Structures.OrderedTypeAlt.html @@ -49,7 +49,7 @@

Library Stdlib.Structures.OrderedTypeAlt

-

An alternative (but equivalent) presentation for an Ordered Type

+

An alternative (but equivalent) presentation for an Ordered Type

inferface.
diff --git a/master/stdlib/Stdlib.Structures.OrderedTypeEx.html b/master/stdlib/Stdlib.Structures.OrderedTypeEx.html index fab127915d..487846685c 100644 --- a/master/stdlib/Stdlib.Structures.OrderedTypeEx.html +++ b/master/stdlib/Stdlib.Structures.OrderedTypeEx.html @@ -55,7 +55,7 @@

Library Stdlib.Structures.OrderedTypeEx

-

Examples of Ordered Type structures.

+

Examples of Ordered Type structures.

diff --git a/master/stdlib/Stdlib.Structures.Orders.html b/master/stdlib/Stdlib.Structures.Orders.html index 4e2111ff22..de5573660d 100644 --- a/master/stdlib/Stdlib.Structures.Orders.html +++ b/master/stdlib/Stdlib.Structures.Orders.html @@ -52,7 +52,7 @@

Library Stdlib.Structures.Orders

-

Ordered types

+

Ordered types

@@ -187,7 +187,7 @@

Library Stdlib.Structures.Orders

DecidableType.
-

Versions with eq being the usual Leibniz equality of Coq

+

Versions with eq being the usual Leibniz equality of Coq

@@ -219,7 +219,7 @@

Library Stdlib.Structures.Orders

-

Purely logical versions

+

Purely logical versions

@@ -242,7 +242,7 @@

Library Stdlib.Structures.Orders

-

Conversions

+

Conversions

@@ -303,7 +303,7 @@

Library Stdlib.Structures.Orders

-

Versions with boolean comparisons

+

Versions with boolean comparisons

@@ -405,7 +405,7 @@

Library Stdlib.Structures.Orders

-

From OrderedTypeFull to TotalTransitiveLeBool

+

From OrderedTypeFull to TotalTransitiveLeBool

@@ -436,7 +436,7 @@

Library Stdlib.Structures.Orders

-

From TotalTransitiveLeBool to OrderedTypeFull

+

From TotalTransitiveLeBool to OrderedTypeFull

diff --git a/master/stdlib/Stdlib.Structures.OrdersAlt.html b/master/stdlib/Stdlib.Structures.OrdersAlt.html index 00397291fe..d036cd2217 100644 --- a/master/stdlib/Stdlib.Structures.OrdersAlt.html +++ b/master/stdlib/Stdlib.Structures.OrdersAlt.html @@ -54,12 +54,12 @@

Library Stdlib.Structures.OrdersAlt

-

Some alternative (but equivalent) presentations for an Ordered Type

+

Some alternative (but equivalent) presentations for an Ordered Type

inferface.
-

The original interface

+

The original interface

@@ -71,7 +71,7 @@

Library Stdlib.Structures.OrdersAlt

-

An interface based on compare

+

An interface based on compare

@@ -101,7 +101,7 @@

Library Stdlib.Structures.OrdersAlt

-

From OrderedTypeOrig to OrderedType.

+

From OrderedTypeOrig to OrderedType.

@@ -140,7 +140,7 @@

Library Stdlib.Structures.OrdersAlt

-

From OrderedType to OrderedTypeOrig.

+

From OrderedType to OrderedTypeOrig.

@@ -169,7 +169,7 @@

Library Stdlib.Structures.OrdersAlt

-

From OrderedTypeAlt to OrderedType.

+

From OrderedTypeAlt to OrderedType.

diff --git a/master/stdlib/Stdlib.Structures.OrdersEx.html b/master/stdlib/Stdlib.Structures.OrdersEx.html index a582d867a8..14cd13f9f6 100644 --- a/master/stdlib/Stdlib.Structures.OrdersEx.html +++ b/master/stdlib/Stdlib.Structures.OrdersEx.html @@ -55,7 +55,7 @@

Library Stdlib.Structures.OrdersEx

-

Examples of Ordered Type structures.

+

Examples of Ordered Type structures.

diff --git a/master/stdlib/Stdlib.Structures.OrdersFacts.html b/master/stdlib/Stdlib.Structures.OrdersFacts.html index 166302d62c..0d3daf7e79 100644 --- a/master/stdlib/Stdlib.Structures.OrdersFacts.html +++ b/master/stdlib/Stdlib.Structures.OrdersFacts.html @@ -55,7 +55,7 @@

Library Stdlib.Structures.OrdersFacts

-

Properties of compare

+

Properties of compare

@@ -104,7 +104,7 @@

Library Stdlib.Structures.OrdersFacts

-

Properties of OrderedTypeFull

+

Properties of OrderedTypeFull

@@ -164,7 +164,7 @@

Library Stdlib.Structures.OrdersFacts

-

Properties of OrderedType

+

Properties of OrderedType

@@ -259,7 +259,7 @@

Library Stdlib.Structures.OrdersFacts

-

Tests of the order tactic

+

Tests of the order tactic

@@ -297,7 +297,7 @@

Library Stdlib.Structures.OrdersFacts

-

Reversed OrderedTypeFull.

+

Reversed OrderedTypeFull.

@@ -348,7 +348,7 @@

Library Stdlib.Structures.OrdersFacts

-

Order relations derived from a compare function.

+

Order relations derived from a compare function.

diff --git a/master/stdlib/Stdlib.Structures.OrdersLists.html b/master/stdlib/Stdlib.Structures.OrdersLists.html index 8c59b28a83..ed1fb5929f 100644 --- a/master/stdlib/Stdlib.Structures.OrdersLists.html +++ b/master/stdlib/Stdlib.Structures.OrdersLists.html @@ -54,7 +54,7 @@

Library Stdlib.Structures.OrdersLists

-

Specialization of results about lists modulo.

+

Specialization of results about lists modulo.

@@ -109,7 +109,7 @@

Library Stdlib.Structures.OrdersLists

-

Results about keys and data as manipulated in the future MMaps.

+

Results about keys and data as manipulated in the future MMaps.

diff --git a/master/stdlib/Stdlib.Structures.OrdersTac.html b/master/stdlib/Stdlib.Structures.OrdersTac.html index 02102250d6..54cd65a10c 100644 --- a/master/stdlib/Stdlib.Structures.OrdersTac.html +++ b/master/stdlib/Stdlib.Structures.OrdersTac.html @@ -52,7 +52,7 @@

Library Stdlib.Structures.OrdersTac

-

The order tactic

+

The order tactic

@@ -91,7 +91,7 @@

Library Stdlib.Structures.OrdersTac

-

The tactic requirements : a total order

+

The tactic requirements : a total order

@@ -127,7 +127,7 @@

Library Stdlib.Structures.OrdersTac

-

Properties that will be used by the order tactic

+

Properties that will be used by the order tactic

@@ -237,7 +237,7 @@

Library Stdlib.Structures.OrdersTac

-

MakeOrderTac : The functor providing the order tactic.

+

MakeOrderTac : The functor providing the order tactic.

diff --git a/master/stdlib/Stdlib.Vectors.VectorDef.html b/master/stdlib/Stdlib.Vectors.VectorDef.html index ae975fe15b..4e50f3dd24 100644 --- a/master/stdlib/Stdlib.Vectors.VectorDef.html +++ b/master/stdlib/Stdlib.Vectors.VectorDef.html @@ -436,7 +436,7 @@

Library Stdlib.Vectors.VectorDef

-

Here are special non dependent useful instantiation of induction schemes

+

Here are special non dependent useful instantiation of induction schemes

@@ -563,7 +563,7 @@

Library Stdlib.Vectors.VectorDef

-

vector <=> list functions

+

vector <=> list functions

diff --git a/master/stdlib/Stdlib.Vectors.VectorSpec.html b/master/stdlib/Stdlib.Vectors.VectorSpec.html index 92da33c3e5..ddf3f476e0 100644 --- a/master/stdlib/Stdlib.Vectors.VectorSpec.html +++ b/master/stdlib/Stdlib.Vectors.VectorSpec.html @@ -94,7 +94,7 @@

Library Stdlib.Vectors.VectorSpec

is true for the one that use lt
-

Properties of nth and nth_order

+

Properties of nth and nth_order

@@ -135,7 +135,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of replace

+

Properties of replace

@@ -181,7 +181,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of const

+

Properties of const

@@ -196,7 +196,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of map

+

Properties of map

@@ -237,7 +237,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of fold_left

+

Properties of fold_left

@@ -251,7 +251,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of take

+

Properties of take

@@ -273,7 +273,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of uncons and splitat

+

Properties of uncons and splitat

@@ -304,7 +304,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of In

+

Properties of In

@@ -317,7 +317,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of Forall and Forall2

+

Properties of Forall and Forall2

@@ -371,7 +371,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of shiftin and shiftrepeat

+

Properties of shiftin and shiftrepeat

@@ -410,7 +410,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of rev

+

Properties of rev

@@ -448,7 +448,7 @@

Library Stdlib.Vectors.VectorSpec

-

Properties of to_list

+

Properties of to_list

diff --git a/master/stdlib/Stdlib.ZArith.BinInt.html b/master/stdlib/Stdlib.ZArith.BinInt.html index bcfb82f32e..5f2a1cc8fc 100644 --- a/master/stdlib/Stdlib.ZArith.BinInt.html +++ b/master/stdlib/Stdlib.ZArith.BinInt.html @@ -54,7 +54,7 @@

Library Stdlib.ZArith.BinInt

-

Binary Integers

+

Binary Integers

@@ -89,7 +89,7 @@

Library Stdlib.ZArith.BinInt

-

Definitions of operations, now in a separate file

+

Definitions of operations, now in a separate file

@@ -121,7 +121,7 @@

Library Stdlib.ZArith.BinInt

-

Logic Predicates

+

Logic Predicates

@@ -159,7 +159,7 @@

Library Stdlib.ZArith.BinInt

-

Decidability of equality.

+

Decidability of equality.

@@ -171,7 +171,7 @@

Library Stdlib.ZArith.BinInt

-

Proofs of morphisms, obvious since eq is Leibniz

+

Proofs of morphisms, obvious since eq is Leibniz

@@ -196,7 +196,7 @@

Library Stdlib.ZArith.BinInt

-

Properties of pos_sub

+

Properties of pos_sub

@@ -267,7 +267,7 @@

Library Stdlib.ZArith.BinInt

-

Operations and constants

+

Operations and constants

@@ -285,7 +285,7 @@

Library Stdlib.ZArith.BinInt

-

Addition is commutative

+

Addition is commutative

@@ -297,7 +297,7 @@

Library Stdlib.ZArith.BinInt

-

Opposite distributes over addition

+

Opposite distributes over addition

@@ -309,7 +309,7 @@

Library Stdlib.ZArith.BinInt

-

Opposite is injective

+

Opposite is injective

@@ -321,7 +321,7 @@

Library Stdlib.ZArith.BinInt

-

Addition is associative

+

Addition is associative

@@ -343,7 +343,7 @@

Library Stdlib.ZArith.BinInt

-

Opposite is inverse for addition

+

Opposite is inverse for addition

@@ -355,7 +355,7 @@

Library Stdlib.ZArith.BinInt

-

Multiplication and Opposite

+

Multiplication and Opposite

@@ -367,7 +367,7 @@

Library Stdlib.ZArith.BinInt

-

Distributivity of multiplication over addition

+

Distributivity of multiplication over addition

@@ -386,11 +386,11 @@

Library Stdlib.ZArith.BinInt

-

Proofs of specifications

+

Proofs of specifications

-

Specification of constants

+

Specification of constants

@@ -405,7 +405,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of addition

+

Specification of addition

@@ -420,7 +420,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of opposite

+

Specification of opposite

@@ -435,7 +435,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of successor and predecessor

+

Specification of successor and predecessor

@@ -453,7 +453,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of subtraction

+

Specification of subtraction

@@ -468,7 +468,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of multiplication

+

Specification of multiplication

@@ -483,7 +483,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of comparisons and order

+

Specification of comparisons and order

@@ -575,7 +575,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of minimum and maximum

+

Specification of minimum and maximum

@@ -596,7 +596,7 @@

Library Stdlib.ZArith.BinInt

-

Induction principles based on successor / predecessor

+

Induction principles based on successor / predecessor

@@ -637,7 +637,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of absolute value

+

Specification of absolute value

@@ -652,7 +652,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of sign

+

Specification of sign

@@ -670,7 +670,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of power

+

Specification of power

@@ -699,7 +699,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of square

+

Specification of square

@@ -711,7 +711,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of square root

+

Specification of square root

@@ -734,7 +734,7 @@

Library Stdlib.ZArith.BinInt

-

Specification of logarithm

+

Specification of logarithm

@@ -763,7 +763,7 @@

Library Stdlib.ZArith.BinInt

-

Multiplication and Doubling

+

Multiplication and Doubling

@@ -781,7 +781,7 @@

Library Stdlib.ZArith.BinInt

-

Correctness proofs for Trunc division

+

Correctness proofs for Trunc division

@@ -813,7 +813,7 @@

Library Stdlib.ZArith.BinInt

-

Correctness proofs for Floor division

+

Correctness proofs for Floor division

@@ -846,7 +846,7 @@

Library Stdlib.ZArith.BinInt

-

Extra properties about divide

+

Extra properties about divide

@@ -864,7 +864,7 @@

Library Stdlib.ZArith.BinInt

-

Correctness proofs for gcd

+

Correctness proofs for gcd

@@ -905,7 +905,7 @@

Library Stdlib.ZArith.BinInt

-

Extra properties about testbit

+

Extra properties about testbit

@@ -930,7 +930,7 @@

Library Stdlib.ZArith.BinInt

-

Proofs of specifications for bitwise operations

+

Proofs of specifications for bitwise operations

@@ -1109,7 +1109,7 @@

Library Stdlib.ZArith.BinInt

-

Comparison and opposite

+

Comparison and opposite

@@ -1121,7 +1121,7 @@

Library Stdlib.ZArith.BinInt

-

Comparison and addition

+

Comparison and addition

@@ -1133,7 +1133,7 @@

Library Stdlib.ZArith.BinInt

-

testbit in terms of comparison.

+

testbit in terms of comparison.

diff --git a/master/stdlib/Stdlib.ZArith.BinIntDef.html b/master/stdlib/Stdlib.ZArith.BinIntDef.html index 2292bad6b6..6206dc05f5 100644 --- a/master/stdlib/Stdlib.ZArith.BinIntDef.html +++ b/master/stdlib/Stdlib.ZArith.BinIntDef.html @@ -61,7 +61,7 @@

Library Stdlib.ZArith.BinIntDef

-

Binary Integers, Definitions of Operations

+

Binary Integers, Definitions of Operations

@@ -82,7 +82,7 @@

Library Stdlib.ZArith.BinIntDef

-

Nicer names Z.pos and Z.neg for constructors

+

Nicer names Z.pos and Z.neg for constructors

@@ -95,7 +95,7 @@

Library Stdlib.ZArith.BinIntDef

-

Constants

+

Constants

@@ -109,7 +109,7 @@

Library Stdlib.ZArith.BinIntDef

-

Successor

+

Successor

@@ -121,7 +121,7 @@

Library Stdlib.ZArith.BinIntDef

-

Predecessor

+

Predecessor

@@ -133,7 +133,7 @@

Library Stdlib.ZArith.BinIntDef

-

Square

+

Square

@@ -150,7 +150,7 @@

Library Stdlib.ZArith.BinIntDef

-

Sign function

+

Sign function

@@ -201,7 +201,7 @@

Library Stdlib.ZArith.BinIntDef

-

Absolute value

+

Absolute value

@@ -218,7 +218,7 @@

Library Stdlib.ZArith.BinIntDef

-

Conversions

+

Conversions

@@ -333,7 +333,7 @@

Library Stdlib.ZArith.BinIntDef

-

Iteration of a function

+

Iteration of a function

@@ -358,7 +358,7 @@

Library Stdlib.ZArith.BinIntDef

-

Parity functions

+

Parity functions

@@ -376,7 +376,7 @@

Library Stdlib.ZArith.BinIntDef

-

Division by two

+

Division by two

@@ -403,7 +403,7 @@

Library Stdlib.ZArith.BinIntDef

NB: Z.quot2 used to be named Z.div2 in Coq <= 8.3
-

Base-2 logarithm

+

Base-2 logarithm

@@ -420,7 +420,7 @@

Library Stdlib.ZArith.BinIntDef

-

Square root

+

Square root

@@ -436,7 +436,7 @@

Library Stdlib.ZArith.BinIntDef

-

Greatest Common Divisor

+

Greatest Common Divisor

@@ -479,7 +479,7 @@

Library Stdlib.ZArith.BinIntDef

-

Bitwise functions

+

Bitwise functions

diff --git a/master/stdlib/Stdlib.ZArith.Int.html b/master/stdlib/Stdlib.ZArith.Int.html index 3512fb2db3..27335b2c60 100644 --- a/master/stdlib/Stdlib.ZArith.Int.html +++ b/master/stdlib/Stdlib.ZArith.Int.html @@ -48,7 +48,7 @@

Library Stdlib.ZArith.Int

-

An light axiomatization of integers (used in MSetAVL).

+

An light axiomatization of integers (used in MSetAVL).

@@ -73,7 +73,7 @@

Library Stdlib.ZArith.Int

-

A specification of integers

+

A specification of integers

@@ -209,7 +209,7 @@

Library Stdlib.ZArith.Int

-

Facts and tactics using Int

+

Facts and tactics using Int

@@ -563,7 +563,7 @@

Library Stdlib.ZArith.Int

-

An implementation of Int

+

An implementation of Int

diff --git a/master/stdlib/Stdlib.ZArith.ZArith_dec.html b/master/stdlib/Stdlib.ZArith.ZArith_dec.html index 556239edce..f0419e3525 100644 --- a/master/stdlib/Stdlib.ZArith.ZArith_dec.html +++ b/master/stdlib/Stdlib.ZArith.ZArith_dec.html @@ -73,7 +73,7 @@

Library Stdlib.ZArith.ZArith_dec

-

Decidability of order on binary integers

+

Decidability of order on binary integers

@@ -115,7 +115,7 @@

Library Stdlib.ZArith.ZArith_dec

-

Cotransitivity of order on binary integers

+

Cotransitivity of order on binary integers

diff --git a/master/stdlib/Stdlib.ZArith.Zabs.html b/master/stdlib/Stdlib.ZArith.Zabs.html index 7892a660a7..b76a6c11d6 100644 --- a/master/stdlib/Stdlib.ZArith.Zabs.html +++ b/master/stdlib/Stdlib.ZArith.Zabs.html @@ -73,7 +73,7 @@

Library Stdlib.ZArith.Zabs

-

Properties of absolute value

+

Properties of absolute value

@@ -91,7 +91,7 @@

Library Stdlib.ZArith.Zabs

-

Proving a property of the absolute value by cases

+

Proving a property of the absolute value by cases

@@ -116,7 +116,7 @@

Library Stdlib.ZArith.Zabs

-

Some results about the sign function.

+

Some results about the sign function.

diff --git a/master/stdlib/Stdlib.ZArith.Zbitwise.html b/master/stdlib/Stdlib.ZArith.Zbitwise.html index 3b5a62d0cd..ef09c88250 100644 --- a/master/stdlib/Stdlib.ZArith.Zbitwise.html +++ b/master/stdlib/Stdlib.ZArith.Zbitwise.html @@ -151,13 +151,13 @@

Library Stdlib.ZArith.Zbitwise

Explicit formulas for carry bits during addition. Conceptually, the theory -

here matches the bitblasting rules for integers. However, the vector of

+

here matches the bitblasting rules for integers. However, the vector of

-

carry bits is represented as a Z so it can be used in bitwise operations.

+

carry bits is represented as a Z so it can be used in bitwise operations.

-

The last three lemmas about addcarries are the main interface, but the

+

The last three lemmas about addcarries are the main interface, but the

-

generalization adccarries is provided as the same theory applies.

+

generalization adccarries is provided as the same theory applies.

diff --git a/master/stdlib/Stdlib.ZArith.Zbool.html b/master/stdlib/Stdlib.ZArith.Zbool.html index 7af2f43841..d85db90bb4 100644 --- a/master/stdlib/Stdlib.ZArith.Zbool.html +++ b/master/stdlib/Stdlib.ZArith.Zbool.html @@ -151,7 +151,7 @@

Library Stdlib.ZArith.Zbool

Properties of the deprecated Zeq_bool
-

Boolean operations from decidability of order

+

Boolean operations from decidability of order

The decidability of equality and order relations over type Z gives some boolean functions with the adequate specification.
@@ -183,7 +183,7 @@

Library Stdlib.ZArith.Zbool

-

Boolean comparisons of binary integers

+

Boolean comparisons of binary integers

diff --git a/master/stdlib/Stdlib.ZArith.Zcompare.html b/master/stdlib/Stdlib.ZArith.Zcompare.html index a5c21e1213..a3196231f9 100644 --- a/master/stdlib/Stdlib.ZArith.Zcompare.html +++ b/master/stdlib/Stdlib.ZArith.Zcompare.html @@ -67,7 +67,7 @@

Library Stdlib.ZArith.Zcompare

-

Comparison on integers

+

Comparison on integers

@@ -82,7 +82,7 @@

Library Stdlib.ZArith.Zcompare

-

Transitivity of comparison

+

Transitivity of comparison

@@ -99,7 +99,7 @@

Library Stdlib.ZArith.Zcompare

-

Comparison and opposite

+

Comparison and opposite

@@ -111,7 +111,7 @@

Library Stdlib.ZArith.Zcompare

-

Comparison first-order specification

+

Comparison first-order specification

@@ -123,7 +123,7 @@

Library Stdlib.ZArith.Zcompare

-

Comparison and addition

+

Comparison and addition

@@ -145,7 +145,7 @@

Library Stdlib.ZArith.Zcompare

-

Successor and comparison

+

Successor and comparison

@@ -157,7 +157,7 @@

Library Stdlib.ZArith.Zcompare

-

Multiplication and comparison

+

Multiplication and comparison

@@ -178,7 +178,7 @@

Library Stdlib.ZArith.Zcompare

-

Relating x ?= y to =, <=, <, >= or >

+

Relating x ?= y to =, <=, <, >= or >

diff --git a/master/stdlib/Stdlib.ZArith.Zdiv.html b/master/stdlib/Stdlib.ZArith.Zdiv.html index 045e4a27cd..5e48acaf68 100644 --- a/master/stdlib/Stdlib.ZArith.Zdiv.html +++ b/master/stdlib/Stdlib.ZArith.Zdiv.html @@ -48,7 +48,7 @@

Library Stdlib.ZArith.Zdiv

-

Euclidean Division

+

Euclidean Division

@@ -88,7 +88,7 @@

Library Stdlib.ZArith.Zdiv

-

Main division theorems

+

Main division theorems

@@ -237,7 +237,7 @@

Library Stdlib.ZArith.Zdiv

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -293,7 +293,7 @@

Library Stdlib.ZArith.Zdiv

-

Order results about Z.modulo and Z.div

+

Order results about Z.modulo and Z.div

@@ -451,7 +451,7 @@

Library Stdlib.ZArith.Zdiv

-

Relations between usual operations and Z.modulo and Z.div

+

Relations between usual operations and Z.modulo and Z.div

@@ -690,7 +690,7 @@

Library Stdlib.ZArith.Zdiv

-

Compatibility

+

Compatibility

@@ -726,7 +726,7 @@

Library Stdlib.ZArith.Zdiv

-

A direct way to compute Z.modulo

+

A direct way to compute Z.modulo

@@ -778,9 +778,9 @@

Library Stdlib.ZArith.Zdiv

Another convention is possible for division by negative numbers: -

quotient is always the biggest integer smaller than or equal to a/b

+

quotient is always the biggest integer smaller than or equal to a/b

-

remainder is hence always positive or null.

+

remainder is hence always positive or null.

diff --git a/master/stdlib/Stdlib.ZArith.Zeuclid.html b/master/stdlib/Stdlib.ZArith.Zeuclid.html index b0221ce559..9f2e661eea 100644 --- a/master/stdlib/Stdlib.ZArith.Zeuclid.html +++ b/master/stdlib/Stdlib.ZArith.Zeuclid.html @@ -62,7 +62,7 @@

Library Stdlib.ZArith.Zeuclid

-

Definitions of division for binary integers, Euclid convention.

+

Definitions of division for binary integers, Euclid convention.

diff --git a/master/stdlib/Stdlib.ZArith.Zeven.html b/master/stdlib/Stdlib.ZArith.Zeven.html index 4e40bf3214..0bc6d7af25 100644 --- a/master/stdlib/Stdlib.ZArith.Zeven.html +++ b/master/stdlib/Stdlib.ZArith.Zeven.html @@ -175,7 +175,7 @@

Library Stdlib.ZArith.Zeven

-

Definition of Z.quot2, Z.div2 and properties wrt Zeven

+

Definition of Z.quot2, Z.div2 and properties wrt Zeven

and Zodd
diff --git a/master/stdlib/Stdlib.ZArith.Zgcd_alt.html b/master/stdlib/Stdlib.ZArith.Zgcd_alt.html index f8f5c4e0cc..a9f1ce281b 100644 --- a/master/stdlib/Stdlib.ZArith.Zgcd_alt.html +++ b/master/stdlib/Stdlib.ZArith.Zgcd_alt.html @@ -48,7 +48,7 @@

Library Stdlib.ZArith.Zgcd_alt

-

Zgcd_alt : an alternate version of Z.gcd, based on Euclid's algorithm

+

Zgcd_alt : an alternate version of Z.gcd, based on Euclid's algorithm

diff --git a/master/stdlib/Stdlib.ZArith.Zhints.html b/master/stdlib/Stdlib.ZArith.Zhints.html index 3a8c0040b0..c945802113 100644 --- a/master/stdlib/Stdlib.ZArith.Zhints.html +++ b/master/stdlib/Stdlib.ZArith.Zhints.html @@ -101,7 +101,7 @@

Library Stdlib.ZArith.Zhints

-

Simplification lemmas

+

Simplification lemmas

@@ -115,7 +115,7 @@

Library Stdlib.ZArith.Zhints

  
-

Reversible simplification lemmas (no loss of information)

+

Reversible simplification lemmas (no loss of information)

Should clearly be declared as hints
@@ -170,7 +170,7 @@

Library Stdlib.ZArith.Zhints

  
-

Irreversible simplification lemmas

+

Irreversible simplification lemmas

Probably to be declared as hints, when no other simplification is possible
diff --git a/master/stdlib/Stdlib.ZArith.Znat.html b/master/stdlib/Stdlib.ZArith.Znat.html index be775329fd..fc892948d7 100644 --- a/master/stdlib/Stdlib.ZArith.Znat.html +++ b/master/stdlib/Stdlib.ZArith.Znat.html @@ -94,7 +94,7 @@

Library Stdlib.ZArith.Znat

-

Chains of conversions

+

Chains of conversions

@@ -147,7 +147,7 @@

Library Stdlib.ZArith.Znat

-

Conversions between Z and N

+

Conversions between Z and N

@@ -551,7 +551,7 @@

Library Stdlib.ZArith.Znat

-

Conversions between Z and nat

+

Conversions between Z and nat

diff --git a/master/stdlib/Stdlib.ZArith.Znumtheory.html b/master/stdlib/Stdlib.ZArith.Znumtheory.html index c94cbe8171..21077ebec5 100644 --- a/master/stdlib/Stdlib.ZArith.Znumtheory.html +++ b/master/stdlib/Stdlib.ZArith.Znumtheory.html @@ -244,7 +244,7 @@

Library Stdlib.ZArith.Znumtheory

-

Greatest common divisor (gcd).

+

Greatest common divisor (gcd).

@@ -306,7 +306,7 @@

Library Stdlib.ZArith.Znumtheory

-

Extended Euclid algorithm.

+

Extended Euclid algorithm.

@@ -394,7 +394,7 @@

Library Stdlib.ZArith.Znumtheory

-

Bezout's coefficients

+

Bezout's coefficients

@@ -430,7 +430,7 @@

Library Stdlib.ZArith.Znumtheory

-

Relative primality

+

Relative primality

@@ -524,7 +524,7 @@

Library Stdlib.ZArith.Znumtheory

-

Primality

+

Primality

diff --git a/master/stdlib/Stdlib.ZArith.Zorder.html b/master/stdlib/Stdlib.ZArith.Zorder.html index 621a9519b3..70589b32e5 100644 --- a/master/stdlib/Stdlib.ZArith.Zorder.html +++ b/master/stdlib/Stdlib.ZArith.Zorder.html @@ -70,7 +70,7 @@

Library Stdlib.ZArith.Zorder

Properties of the order relations on binary integers
-

Trichotomy

+

Trichotomy

@@ -85,7 +85,7 @@

Library Stdlib.ZArith.Zorder

-

Decidability of equality and order on Z

+

Decidability of equality and order on Z

@@ -111,7 +111,7 @@

Library Stdlib.ZArith.Zorder

-

Relating strict and large orders

+

Relating strict and large orders

@@ -151,7 +151,7 @@

Library Stdlib.ZArith.Zorder

-

Equivalence and order properties

+

Equivalence and order properties

@@ -275,11 +275,11 @@

Library Stdlib.ZArith.Zorder

-

Compatibility of order and operations on Z

+

Compatibility of order and operations on Z

-

Successor

+

Successor

@@ -457,7 +457,7 @@

Library Stdlib.ZArith.Zorder

-

Addition

+

Addition

Compatibility of addition wrt to order
@@ -527,7 +527,7 @@

Library Stdlib.ZArith.Zorder

-

Multiplication

+

Multiplication

Compatibility of multiplication by a positive wrt to order
@@ -655,7 +655,7 @@

Library Stdlib.ZArith.Zorder

-

Square

+

Square

Simplification of square wrt order
@@ -670,7 +670,7 @@

Library Stdlib.ZArith.Zorder

-

Equivalence between inequalities

+

Equivalence between inequalities

diff --git a/master/stdlib/Stdlib.ZArith.Zpow_def.html b/master/stdlib/Stdlib.ZArith.Zpow_def.html index e9b5e98a76..7ab77b6c48 100644 --- a/master/stdlib/Stdlib.ZArith.Zpow_def.html +++ b/master/stdlib/Stdlib.ZArith.Zpow_def.html @@ -52,7 +52,7 @@

Library Stdlib.ZArith.Zpow_def

-

Power functions over Z

+

Power functions over Z

diff --git a/master/stdlib/Stdlib.ZArith.Zpow_facts.html b/master/stdlib/Stdlib.ZArith.Zpow_facts.html index 448ac48a69..2035e552b1 100644 --- a/master/stdlib/Stdlib.ZArith.Zpow_facts.html +++ b/master/stdlib/Stdlib.ZArith.Zpow_facts.html @@ -131,7 +131,7 @@

Library Stdlib.ZArith.Zpow_facts

-

Z.pow and modulo

+

Z.pow and modulo

@@ -207,7 +207,7 @@

Library Stdlib.ZArith.Zpow_facts

-

Z.square: a direct definition of z^2

+

Z.square: a direct definition of z^2

diff --git a/master/stdlib/Stdlib.ZArith.Zpower.html b/master/stdlib/Stdlib.ZArith.Zpower.html index 7b5bc0d966..97b325f3f5 100644 --- a/master/stdlib/Stdlib.ZArith.Zpower.html +++ b/master/stdlib/Stdlib.ZArith.Zpower.html @@ -53,7 +53,7 @@

Library Stdlib.ZArith.Zpower

-

Power functions over Z

+

Power functions over Z

@@ -153,7 +153,7 @@

Library Stdlib.ZArith.Zpower

-

Powers of 2

+

Powers of 2

@@ -282,7 +282,7 @@

Library Stdlib.ZArith.Zpower

-

Division by a power of two.

+

Division by a power of two.

diff --git a/master/stdlib/Stdlib.ZArith.Zquot.html b/master/stdlib/Stdlib.ZArith.Zquot.html index 886d16aa3b..ba1a3aec86 100644 --- a/master/stdlib/Stdlib.ZArith.Zquot.html +++ b/master/stdlib/Stdlib.ZArith.Zquot.html @@ -153,7 +153,7 @@

Library Stdlib.ZArith.Zquot

-

Division and Opposite

+

Division and Opposite

@@ -232,7 +232,7 @@

Library Stdlib.ZArith.Zquot

-

Unicity results

+

Unicity results

@@ -265,7 +265,7 @@

Library Stdlib.ZArith.Zquot

-

Order results about Zrem and Zquot

+

Order results about Zrem and Zquot

@@ -363,7 +363,7 @@

Library Stdlib.ZArith.Zquot

-

Relations between usual operations and Z.modulo and Z.div

+

Relations between usual operations and Z.modulo and Z.div

@@ -527,7 +527,7 @@

Library Stdlib.ZArith.Zquot

-

Interaction with "historic" Zdiv

+

Interaction with "historic" Zdiv

diff --git a/master/stdlib/Stdlib.ZArith.auxiliary.html b/master/stdlib/Stdlib.ZArith.auxiliary.html index b34b76708b..cbffc51fbd 100644 --- a/master/stdlib/Stdlib.ZArith.auxiliary.html +++ b/master/stdlib/Stdlib.ZArith.auxiliary.html @@ -67,7 +67,7 @@

Library Stdlib.ZArith.auxiliary

-

Moving terms from one side to the other of an inequality

+

Moving terms from one side to the other of an inequality

diff --git a/master/stdlib/Stdlib.btauto.Algebra.html b/master/stdlib/Stdlib.btauto.Algebra.html index 6258555dcb..a610ff67de 100644 --- a/master/stdlib/Stdlib.btauto.Algebra.html +++ b/master/stdlib/Stdlib.btauto.Algebra.html @@ -143,7 +143,7 @@

Library Stdlib.btauto.Algebra

-

Global, inductive definitions.

+

Global, inductive definitions.

@@ -216,7 +216,7 @@

Library Stdlib.btauto.Algebra

-

The core reflexive part.

+

The core reflexive part.

diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html index ab42558404..128ddfbc14 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInt.html @@ -61,11 +61,11 @@

Library Stdlib.extraction.ExtrHaskellNatInt

-

Disclaimer: trying to obtain efficient certified programs

+

Disclaimer: trying to obtain efficient certified programs

-

by extracting nat into Int is definitively *not* a good idea.

+

by extracting nat into Int is definitively *not* a good idea.

-

See comments in ExtrOcamlNatInt.v.

+

See comments in ExtrOcamlNatInt.v.

diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html index 27d4301cee..282fb6f60f 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellNatInteger.html @@ -61,11 +61,11 @@

Library Stdlib.extraction.ExtrHaskellNatInteger

-

Disclaimer: trying to obtain efficient certified programs

+

Disclaimer: trying to obtain efficient certified programs

-

by extracting nat into Integer isn't necessarily a good idea.

+

by extracting nat into Integer isn't necessarily a good idea.

-

See comments in ExtrOcamlNatInt.v.

+

See comments in ExtrOcamlNatInt.v.

diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html b/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html index 16919627ec..cbe1e33eec 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellNatNum.html @@ -46,15 +46,15 @@

Library Stdlib.extraction.ExtrHaskellNatNum

-

Efficient (but uncertified) extraction of usual nat functions

+

Efficient (but uncertified) extraction of usual nat functions

-

into equivalent versions in Haskell's Prelude that are defined

+

into equivalent versions in Haskell's Prelude that are defined

-

for any Num typeclass instances. Useful in combination with

+

for any Num typeclass instances. Useful in combination with

-

Extract Inductive nat that maps nat onto a Haskell type that

+

Extract Inductive nat that maps nat onto a Haskell type that

-

implements Num.

+

implements Num.

diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellString.html b/master/stdlib/Stdlib.extraction.ExtrHaskellString.html index a93c08a757..a03fcc1971 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellString.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellString.html @@ -46,7 +46,7 @@

Library Stdlib.extraction.ExtrHaskellString

-

Special handling of ascii and strings for extraction to Haskell.

+

Special handling of ascii and strings for extraction to Haskell.

@@ -67,16 +67,16 @@

Library Stdlib.extraction.ExtrHaskellString

-

At the moment, Coq's extraction has no way to add extra import

+

At the moment, Coq's extraction has no way to add extra import

-

statements to the extracted Haskell code. You will have to

+

statements to the extracted Haskell code. You will have to

-

manually add:

+

manually add:

* -

import qualified Data.Bits

+

import qualified Data.Bits

-

import qualified Data.Char

+

import qualified Data.Char

diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html b/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html index 9488da3154..30e6430ea9 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellZInt.html @@ -61,11 +61,11 @@

Library Stdlib.extraction.ExtrHaskellZInt

-

Disclaimer: trying to obtain efficient certified programs

+

Disclaimer: trying to obtain efficient certified programs

-

by extracting Z into Int is definitively *not* a good idea.

+

by extracting Z into Int is definitively *not* a good idea.

-

See comments in ExtrOcamlNatInt.v.

+

See comments in ExtrOcamlNatInt.v.

diff --git a/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html b/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html index cc005038ab..094b6c1860 100644 --- a/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html +++ b/master/stdlib/Stdlib.extraction.ExtrHaskellZNum.html @@ -46,15 +46,15 @@

Library Stdlib.extraction.ExtrHaskellZNum

-

Efficient (but uncertified) extraction of usual Z functions

+

Efficient (but uncertified) extraction of usual Z functions

-

into equivalent versions in Haskell's Prelude that are defined

+

into equivalent versions in Haskell's Prelude that are defined

-

for any Num typeclass instances. Useful in combination with

+

for any Num typeclass instances. Useful in combination with

-

Extract Inductive Z that maps Z onto a Haskell type that

+

Extract Inductive Z that maps Z onto a Haskell type that

-

implements Num.

+

implements Num.

diff --git a/master/stdlib/Stdlib.omega.PreOmega.html b/master/stdlib/Stdlib.omega.PreOmega.html index 193a336295..04ac777300 100644 --- a/master/stdlib/Stdlib.omega.PreOmega.html +++ b/master/stdlib/Stdlib.omega.PreOmega.html @@ -54,7 +54,7 @@

Library Stdlib.omega.PreOmega

-

Z.div_mod_to_equations, Z.quot_rem_to_equations, Z.to_euclidean_division_equations:

+

Z.div_mod_to_equations, Z.quot_rem_to_equations, Z.to_euclidean_division_equations:

the tactics for preprocessing Z.div and Z.modulo, Z.quot and Z.rem
diff --git a/master/stdlib/index_global_B.html b/master/stdlib/index_global_B.html index 8e26c94a98..af93be9f9b 100644 --- a/master/stdlib/index_global_B.html +++ b/master/stdlib/index_global_B.html @@ -952,8 +952,8 @@ BVeq [definition, in Stdlib.Bool.Bvector]
BVor [definition, in Stdlib.Bool.Bvector]
BVxor [definition, in Stdlib.Bool.Bvector]
-Byte [library]
Byte [library]
+Byte [library]
ByteNotations [module, in Stdlib.Strings.Byte]
_ =? _ (byte_scope) [notation, in Stdlib.Strings.Byte]
byte_of_ascii_via_nat [lemma, in Stdlib.Strings.Ascii]
diff --git a/master/stdlib/index_global_T.html b/master/stdlib/index_global_T.html index 060d357a3e..11f2797e0a 100644 --- a/master/stdlib/index_global_T.html +++ b/master/stdlib/index_global_T.html @@ -527,8 +527,8 @@ t [abbreviation, in Stdlib.micromega.VarMap]
t [inductive, in Stdlib.micromega.VarMap]
t [inductive, in Stdlib.Vectors.Fin]
-Tactics [library]
Tactics [library]
+Tactics [library]
Tadd [definition, in Stdlib.rtauto.Bintree]
tail [abbreviation, in Stdlib.Lists.List]
tail [definition, in Stdlib.micromega.Env]
@@ -576,8 +576,8 @@ tan_PI [lemma, in Stdlib.Reals.Rtrigo_calc]
target [projection, in Stdlib.micromega.ZifyClasses]
target_prop [projection, in Stdlib.micromega.ZifyClasses]
-Tauto [library]
Tauto [library]
+Tauto [library]
tauto_checker_sound [lemma, in Stdlib.micromega.Tauto]
tauto_checker [definition, in Stdlib.micromega.Tauto]
TBOp [projection, in Stdlib.micromega.ZifyClasses]
diff --git a/master/stdlib/index_global_W.html b/master/stdlib/index_global_W.html index 71aad0a586..111fa3ed0a 100644 --- a/master/stdlib/index_global_W.html +++ b/master/stdlib/index_global_W.html @@ -928,8 +928,8 @@ WEqProperties_fun.Add [definition, in Stdlib.FSets.FSetEqProperties]
WEqProperties_fun.MP [module, in Stdlib.FSets.FSetEqProperties]
WEqProperties_fun [module, in Stdlib.FSets.FSetEqProperties]
-Wf [library]
Wf [library]
+Wf [library]
WFacts [module, in Stdlib.MSets.MSetFacts]
WFacts [module, in Stdlib.FSets.FMapFacts]
WFacts [module, in Stdlib.FSets.FSetFacts]
diff --git a/master/stdlib/index_library_B.html b/master/stdlib/index_library_B.html index ca5642cf1f..22ba0884d2 100644 --- a/master/stdlib/index_library_B.html +++ b/master/stdlib/index_library_B.html @@ -543,8 +543,8 @@ Bool_nat
Btauto
Bvector
-Byte
Byte
+Byte