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Theorems · Theorem · logic and foundations

FirstOrder.Language.StrongHomClass.toEquiv_toFun

∀ {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 : F) (a_1 : M),
  (FirstOrder.Language.StrongHomClass.toEquiv a) a_1 = a a_1
Defined in
Mathlib.ModelTheory.Basic
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.StructureEquivLikeFirstOrder.Language.StrongHomClass
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Dashed lines are statement dependencies; solid lines are citations in proofs.

FirstOrder.Language.empty.isFraisseLimit_of_countable_infinite · cited by 1empty.isFraisseLimit_of_c…DFunLike.coe · cited by 62936DFunLike.coeFirstOrder.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.toEquivStrongHomClass.toEquiv_toFunCITED BYCITES

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