Theorems · Theorem · logic and foundations
FirstOrder.Language.PartialEquiv.symm_apply
∀ {L : FirstOrder.Language} {M : Type w} {N : Type w'} [inst : L.Structure M] [inst_1 : L.Structure N]
(f : L.PartialEquiv M N) (x : ↥f.cod), f.symm.toEquiv x = f.toEquiv.symm x- Defined in
- Mathlib.ModelTheory.PartialEquiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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- DFunLike.coestatement · cited by 62,936
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement · cited by 242
- FirstOrder.Language.Equivstatement · cited by 83
- FirstOrder.Language.PartialEquivstatement and proof · cited by 44
- FirstOrder.Language.PartialEquiv.domstatement · cited by 35
- FirstOrder.Language.Equiv.symmstatement · cited by 32
- FirstOrder.Language.PartialEquiv.codstatement and proof · cited by 32
- FirstOrder.Language.PartialEquiv.toEquivstatement · cited by 24
- FirstOrder.Language.PartialEquiv.symmstatement · cited by 9
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