Theorems · Theorem · logic and foundations

FirstOrder.Language.LHom.realize_onTerm

∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {α : Type u'}
  [inst_1 : L'.Structure M] (φ : L →ᴸ L') [φ.IsExpansionOn M] (t : L.Term α) (v : α → M),
  FirstOrder.Language.Term.realize v (φ.onTerm t) = FirstOrder.Language.Term.realize v t

Defined in

Mathlib.ModelTheory.Semantics

Cited by

3 results in Mathlib

Foundations

Depth 9 from the axioms · uses propext, Quot.sound

Assumes

FirstOrder.Language.StructureFirstOrder.Language.StructureFirstOrder.Language.LHom.IsExpansionOn