Theorems · Theorem · logic and foundations

FirstOrder.Language.LHom.IsExpansionOn.map_onFunction

∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} {ϕ : L →ᴸ L'} {M : Type u_1} {inst : L.Structure M}
  {inst_1 : L'.Structure M} [self : ϕ.IsExpansionOn M] {n : ℕ} (f : L.Functions n) (x : Fin n → M),
  FirstOrder.Language.Structure.funMap (ϕ.onFunction f) x = FirstOrder.Language.Structure.funMap f x

Defined in

Mathlib.ModelTheory.LanguageMap

Cited by

1 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

FirstOrder.Language.LHom.IsExpansionOn