Theorems · Theorem · logic and foundations
FirstOrder.Language.StrongHomClass.toEquiv_invFun
∀ {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 : N),
(FirstOrder.Language.StrongHomClass.toEquiv a).invFun a_1 = EquivLike.inv a a_1- Defined in
- Mathlib.ModelTheory.Basic
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- Foundations
- Depth 11 from the axioms · uses Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- EquivLikestatement and proof · cited by 165
- Equiv.invFunstatement and proof · cited by 163
- EquivLike.invstatement · cited by 42
- FirstOrder.Language.StrongHomClassstatement and proof · cited by 16
- FirstOrder.Language.Equiv.toEquivstatement and proof · cited by 12
- FirstOrder.Language.StrongHomClass.toEquivstatement and proof · cited by 4
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