Theorems · Theorem · logic and foundations

Set.definable_iUnion_of_finite

∀ {M : Type w} {A : Set M} {L : FirstOrder.Language} [inst : L.Structure M] {α : Type u₁} {ι : Type u_2} [Finite ι]
  {f : ι → Set (α → M)}, (∀ (i : ι), A.Definable L (f i)) → A.Definable L (⋃ i, f i)

Defined in

Mathlib.ModelTheory.Definability

Cited by

0 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FirstOrder.Language.StructureFinite