Theorems · Theorem · logic and foundations

FirstOrder.Language.Formula.realize_iExsUnique

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {α : Type u'} {γ : Type u_3} [inst_1 : Finite γ]
  {φ : L.Formula (α ⊕ γ)} {v : α → M},
  (FirstOrder.Language.Formula.iExsUnique γ φ).Realize v ↔ ∃! i, φ.Realize (Sum.elim v i)

Defined in

Mathlib.ModelTheory.Semantics

Cited by

1 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FirstOrder.Language.StructureFinite