Theorems · Theorem · logic and foundations

FirstOrder.Language.Hom.comp_codRestrict

∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} {P : Type u_2} [inst : L.Structure M] [inst_1 : L.Structure N]
  [inst_2 : L.Structure P] (f : L.Hom M N) (g : L.Hom N P) (p : L.Substructure P) (h : ∀ (b : N), g b ∈ p),
  (FirstOrder.Language.Hom.codRestrict p g h).comp f = FirstOrder.Language.Hom.codRestrict p (g.comp f) ⋯

Defined in

Mathlib.ModelTheory.Substructures

Cited by

0 results in Mathlib

Foundations

Depth 20 from the axioms · uses Quot.sound

Assumes

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