Theorems · Definition · logic and foundations

FirstOrder.Language.PartialEquiv.domRestrict

{L : FirstOrder.Language} →
  {M : Type w} →
    {N : Type w'} →
      [inst : L.Structure M] →
        [inst_1 : L.Structure N] → (f : L.PartialEquiv M N) → {A : L.Substructure M} → A ≤ f.dom → L.PartialEquiv M N

Restriction of a partial equivalence to a substructure of the domain.

Defined in

Mathlib.ModelTheory.PartialEquiv

Cited by

2 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FirstOrder.Language.StructureFirstOrder.Language.Structure