Theorems · Theorem · logic and foundations

FirstOrder.Language.Embedding.comp_apply

∀ {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] (g : L.Embedding N P) (f : L.Embedding M N) (x : M), (g.comp f) x = g (f x)

Defined in

Mathlib.ModelTheory.Basic

Cited by

2 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Quot.sound

Assumes

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