feat: Heyting algebra semantics for propositional logic #93
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thomaskwaring
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Heyting algebra semantics for propositional logic
Following on from #89 and #91, we define Heyting algebra semantics for propositional logic, and demonstrate the soundness and completeness of the interpretation. The latter requires demonstrating that the collection of propositions, quotiented by equivalence, forms a (generalized) Heyting algebra, results to which effect we place in
Logics/Propositional/NaturalDeduction/Lemmas.lean.