Theorems · Theorem · logic and foundations

Set.Definable.image_comp_sumInl_fin

∀ {M : Type w} {A : Set M} {L : FirstOrder.Language} [inst : L.Structure M] {α : Type u₁} (m : ℕ)
  {s : Set (α ⊕ Fin m → M)}, A.Definable L s → A.Definable L ((fun g => g ∘ Sum.inl) '' s)

This lemma is only intended as a helper for Definable.image_comp.

Defined in

Mathlib.ModelTheory.Definability

Cited by

2 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FirstOrder.Language.Structure