Theorems · Definition · logic and foundations
FirstOrder.Language.PartialEquiv.toEquiv
{L : FirstOrder.Language} →
{M : Type w} →
{N : Type w'} →
[inst : L.Structure M] → [inst_1 : L.Structure N] → (self : L.PartialEquiv M N) → L.Equiv ↥self.dom ↥self.codThe equivalence between the two subdomains.
- Defined in
- Mathlib.ModelTheory.PartialEquiv
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- 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.PartialEquiv.codstatement · cited by 32
Cited by29
Results whose statement or proof uses this declaration.
- FirstOrder.Language.PartialEquiv.symmproof · cited by 9
- FirstOrder.Language.PartialEquiv.dom_le_domproof · cited by 8
- FirstOrder.Language.DirectLimit.partialEquivLimitproof · cited by 6
- FirstOrder.Language.PartialEquiv.cod_le_codproof · cited by 6
- FirstOrder.Language.PartialEquiv.extstatement and proof · cited by 3
- FirstOrder.Language.PartialEquiv.subtype_toEquiv_inclusionstatement and proof · cited by 3
- FirstOrder.Language.PartialEquiv.le_defstatement · cited by 2
- FirstOrder.Language.Embedding.toPartialEquiv_toEmbeddingproof · cited by 2
- FirstOrder.Language.PartialEquiv.toEmbeddingproof · cited by 2
- FirstOrder.Language.PartialEquiv.toEquivOfEqTopproof · cited by 2
- FirstOrder.Language.PartialEquiv.toEquiv_inclusion_applystatement and proof · cited by 2
- FirstOrder.Language.DirectLimit.le_partialEquivLimitproof · cited by 2