Theorems · Theorem · logic and foundations

FirstOrder.Language.Term.realize_relabel

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {α : Type u'} {β : Type v'} {t : L.Term α} {g : α → β}
  {v : β → M},
  FirstOrder.Language.Term.realize v (FirstOrder.Language.Term.relabel g t) = FirstOrder.Language.Term.realize (v ∘ g) t

Defined in

Mathlib.ModelTheory.Semantics

Cited by

15 results in Mathlib

Foundations

Depth 8 from the axioms · uses propext, Quot.sound

Assumes

FirstOrder.Language.Structure