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6 changes: 3 additions & 3 deletions src/data/proofs/ballot-problem-oq-03/meta.json
Original file line number Diff line number Diff line change
Expand Up @@ -324,7 +324,7 @@
"mainTheorems": [
{
"name": "lgv_lemma_2x2",
"line": 2834,
"line": 2878,
"statement": "The 2x2 LGV Lemma: niPairCount equals lgvDet under proper source/target ordering (a1 <= a2, b1 <= b2)",
"description": "Core result. The count of non-intersecting lattice path pairs equals the 2x2 determinant of binomial path counts. Proved via complement counting and the Lindstrom involution bijection."
},
Expand All @@ -342,7 +342,7 @@
},
{
"name": "lindstrom_involution",
"line": 2803,
"line": 2847,
"statement": "Dual injections between intersecting identity pairs and crossing pairs yield equal cardinalities",
"description": "The Lindstrom sign-reversing involution: swapping suffixes at the canonical shared point bijects intersecting identity pairs with all crossing pairs."
},
Expand Down Expand Up @@ -378,7 +378,7 @@
},
{
"name": "lgvDet_nonneg",
"line": 2872,
"line": 2916,
"statement": "0 <= lgvDet(m, a1, b1, a2, b2) under proper ordering",
"description": "Non-negativity of the LGV determinant follows from the LGV lemma since it counts non-intersecting path pairs."
}
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