Theorems · Definition · logic and foundations

FirstOrder.Language.Equiv.comp

{L : FirstOrder.Language} →
  {M : Type w} →
    {N : Type w'} →
      [inst : L.Structure M] →
        [inst_1 : L.Structure N] → {P : Type u_1} → [inst_2 : L.Structure P] → L.Equiv N P → L.Equiv M N → L.Equiv M P

Composition of first-order equivalences.

Defined in

Mathlib.ModelTheory.Basic

Cited by

12 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

FirstOrder.Language.StructureFirstOrder.Language.StructureFirstOrder.Language.Structure