Theorems · Theorem · logic and foundations

FirstOrder.Language.HomClass.realize_term

∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N] {α : Type u'}
  {F : Type u_4} [inst_2 : FunLike F M N] [L.HomClass F M N] (g : F) {t : L.Term α} {v : α → M},
  FirstOrder.Language.Term.realize (⇑g ∘ v) t = g (FirstOrder.Language.Term.realize v t)

Defined in

Mathlib.ModelTheory.Semantics

Cited by

5 results in Mathlib

Foundations

Depth 9 from the axioms · uses propext, Quot.sound

Assumes

FirstOrder.Language.StructureFirstOrder.Language.StructureFunLikeFirstOrder.Language.HomClass