Theorems · Theorem · logic and foundations

Set.Definable.map_expansion

∀ {M : Type w} {A : Set M} {L : FirstOrder.Language} [inst : L.Structure M] {α : Type u₁} {s : Set (α → M)}
  {L' : FirstOrder.Language} [inst_1 : L'.Structure M],
  A.Definable L s → ∀ (φ : L →ᴸ L') [φ.IsExpansionOn M], A.Definable L' s

Defined in

Mathlib.ModelTheory.Definability

Cited by

1 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

FirstOrder.Language.StructureFirstOrder.Language.StructureFirstOrder.Language.LHom.IsExpansionOn