Theorems · Definition · logic and foundations

FirstOrder.Language.Embedding.toPartialEquiv

{L : FirstOrder.Language} →
  {M : Type w} →
    {N : Type w'} → [inst : L.Structure M] → [inst_1 : L.Structure N] → L.Embedding M N → L.PartialEquiv M N

Given an embedding, returns the corresponding partial equivalence with ⊤ as domain.

Defined in

Mathlib.ModelTheory.PartialEquiv

Cited by

6 results in Mathlib

Foundations

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

Assumes

FirstOrder.Language.StructureFirstOrder.Language.Structure