Theorems · Theorem · logic and foundations

Set.Definable.image_comp_equiv

∀ {M : Type w} {A : Set M} {L : FirstOrder.Language} [inst : L.Structure M] {α : Type u₁} {β : Type u_1}
  {s : Set (β → M)}, A.Definable L s → ∀ (f : α ≃ β), A.Definable L ((fun g => g ∘ ⇑f) '' s)

Defined in

Mathlib.ModelTheory.Definability

Cited by

2 results in Mathlib

Foundations

Depth 58 from the axioms · uses propext, Quot.sound

Assumes

FirstOrder.Language.Structure