Theorems · Theorem · logic and foundations

FirstOrder.Language.Formula.realize_relabel

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {α : Type u'} {β : Type v'} {φ : L.Formula α}
  {g : α → β} {v : β → M}, (FirstOrder.Language.Formula.relabel g φ).Realize v ↔ φ.Realize (v ∘ g)

Defined in

Mathlib.ModelTheory.Semantics

Cited by

0 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Quot.sound

Assumes

FirstOrder.Language.Structure