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Theorems · Theorem · logic and foundations

FirstOrder.Language.StrongHomClass.toEquiv.congr_simp

∀ {L : FirstOrder.Language} {F : Type u_3} {M : Type u_4} {N : Type u_5} [inst : L.Structure M] [inst_1 : L.Structure N]
  [inst_2 : EquivLike F M N] [inst_3 : L.StrongHomClass F M N] (a a_1 : F),
  a = a_1 → FirstOrder.Language.StrongHomClass.toEquiv a = FirstOrder.Language.StrongHomClass.toEquiv a_1
Defined in
Mathlib.ModelTheory.Fraisse
Cited by
0 results in Mathlib
Foundations
Depth 11 from the axioms · uses Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.StructureEquivLikeFirstOrder.Language.StrongHomClass
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FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureEquivLike · cited by 165EquivLikeFirstOrder.Language.Equiv · cited by 83Language.EquivFirstOrder.Language.StrongHomClass · cited by 16Language.StrongHomClassFirstOrder.Language.StrongHomClass.toEquiv · cited by 4StrongHomClass.toEquivtoEquiv.congr_simpCITED BYCITES

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