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Theorems · Theorem · logic and foundations

FirstOrder.Language.Embedding.toPartialEquiv_toEmbedding

∀ {L : FirstOrder.Language} {M : Type w} {N : Type w'} [inst : L.Structure M] [inst_1 : L.Structure N]
  {f : L.PartialEquiv M N} (h : f.dom = ⊤), (FirstOrder.Language.PartialEquiv.toEmbeddingOfEqTop h).toPartialEquiv = f
Defined in
Mathlib.ModelTheory.PartialEquiv
Cited by
2 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.Structure
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FirstOrder.Language.equiv_between_cg · cited by 2Language.equiv_between_cgFirstOrder.Language.embedding_from_cg · cited by 0Language.embedding_from_cgDFunLike.coe · cited by 62936DFunLike.coeTop.top · cited by 9680Top.topSet.univ · cited by 3945Set.univFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.Equiv · cited by 83Language.EquivFirstOrder.Language.PartialEquiv · cited by 44Language.PartialEquivFirstOrder.Language.Substructure.subtype · cited by 40Substructure.subtypeFirstOrder.Language.PartialEquiv.dom · cited by 35PartialEquiv.domFirstOrder.Language.PartialEquiv.cod · cited by 32PartialEquiv.codFirstOrder.Language.PartialEquiv.toEquiv · cited by 24PartialEquiv.toEquivFirstOrder.Language.Embedding.toPartialEquiv · cited by 6Embedding.toPartialEquivFirstOrder.Language.PartialEquiv.toEmbeddingOfEqTop · cited by 5PartialEquiv.toEmbeddingO…FirstOrder.Language.PartialEquiv.casesOn · cited by 5PartialEquiv.casesOnEmbedding.toPartialEquiv_toEm…CITED BYCITES

Cites16

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Cited by2

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