Theorems · Theorem · logic and foundations

FirstOrder.Language.Hom.subtype_comp_codRestrict

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