Theorems · Definition · logic and foundations

FirstOrder.Language.PartialEquiv.dom

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

The substructure which is the domain of the equivalence.

Defined in

Mathlib.ModelTheory.PartialEquiv

Cited by

35 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

FirstOrder.Language.StructureFirstOrder.Language.Structure