Theorems · Inductive type · logic and foundations
FirstOrder.Language.PartialEquiv
(L : FirstOrder.Language) → (M : Type w) → (N : Type w') → [L.Structure M] → [L.Structure N] → Type (max w w')
A partial L-equivalence, implemented as an equivalence between substructures.
- Defined in
- Mathlib.ModelTheory.PartialEquiv
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Languagestatement · cited by 1,084
- FirstOrder.Language.Structurestatement · cited by 775
Cited by64
Results whose statement or proof uses this declaration.
- FirstOrder.Language.PartialEquiv.domstatement and proof · cited by 35
- FirstOrder.Language.PartialEquiv.codstatement and proof · cited by 32
- FirstOrder.Language.PartialEquiv.toEquivstatement and proof · cited by 24
- FirstOrder.Language.FGEquivproof · cited by 9
- FirstOrder.Language.PartialEquiv.symmstatement and proof · cited by 9
- FirstOrder.Language.PartialEquiv.dom_le_domstatement and proof · cited by 8
- FirstOrder.Language.Embedding.toPartialEquivstatement · cited by 6
- FirstOrder.Language.DirectLimit.partialEquivLimitstatement and proof · cited by 6
- FirstOrder.Language.PartialEquiv.cod_le_codstatement and proof · cited by 6
- FirstOrder.Language.PartialEquiv.casesOnstatement and proof · cited by 5
- FirstOrder.Language.PartialEquiv.toEmbeddingOfEqTopstatement and proof · cited by 5
- FirstOrder.Language.PartialEquiv.extstatement and proof · cited by 3