Theorems · Theorem · logic and foundations

FirstOrder.Language.BoundedFormula.realize_exs

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {α : Type u'} {n : ℕ} {φ : L.BoundedFormula α n}
  {v : α → M}, φ.exs.Realize v ↔ ∃ xs, φ.Realize v xs

Defined in

Mathlib.ModelTheory.Semantics

Cited by

1 results in Mathlib

Foundations

Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FirstOrder.Language.Structure