Theorems · Definition · logic and foundations

FirstOrder.Language.Hom.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.Hom N P → L.Hom M N → L.Hom M P

Composition of first-order homomorphisms.

Defined in

Mathlib.ModelTheory.Basic

Cited by

20 results in Mathlib

Foundations

Depth 17 from the axioms · uses no axioms

Assumes

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