Mathlib Map

Theorems · Theorem · logic and foundations

FirstOrder.Language.LHom.funext

∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} {F G : L →ᴸ L'},
  F.onFunction = G.onFunction → F.onRelation = G.onRelation → F = G
Defined in
Mathlib.ModelTheory.LanguageMap
Cited by
9 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext
Mathlib docsSourceLoogleLeanSearch

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FirstOrder.Language.LHom.comp_sumElim · cited by 0LHom.comp_sumElimFirstOrder.Language.LHom.sumMap_comp_inl · cited by 0LHom.sumMap_comp_inlFirstOrder.Language.LHom.sumMap_comp_inr · cited by 0LHom.sumMap_comp_inrFirstOrder.Language.LHom.funext_iff · cited by 0LHom.funext_iffFirstOrder.Language.LHom.sumElim_inl_inr · cited by 0LHom.sumElim_inl_inrFirstOrder.Language.LHom.sumElim_comp_inl · cited by 0LHom.sumElim_comp_inlFirstOrder.Language.LHom.map_constants_comp_sumInl · cited by 0LHom.map_constants_comp_s…FirstOrder.Language.LHom.sumElim_comp_inr · cited by 0LHom.sumElim_comp_inrFirstOrder.Language.orderLHom_order · cited by 0Language.orderLHom_orderFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Functions · cited by 153Language.FunctionsFirstOrder.Language.Relations · cited by 147Language.RelationsFirstOrder.Language.LHom · cited by 66Language.LHomFirstOrder.Language.LHom.onFunction · cited by 27LHom.onFunctionFirstOrder.Language.LHom.onRelation · cited by 27LHom.onRelationFirstOrder.Language.LHom.casesOn · cited by 3LHom.casesOnFirstOrder.Language.LHom.mk.injEq · cited by 1mk.injEqLHom.funextCITED BYCITES

Cites8

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Cited by9

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