Theorems · Theorem · logic and foundations

FirstOrder.Language.Term.realize.eq_def

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {α : Type u'} (v : α → M) (x : L.Term α),
  FirstOrder.Language.Term.realize v x =
    match x with
    | FirstOrder.Language.var k => v k
    | FirstOrder.Language.func f ts =>
      FirstOrder.Language.Structure.funMap f fun i => FirstOrder.Language.Term.realize v (ts i)

Defined in

Mathlib.ModelTheory.Semantics

Cited by

0 results in Mathlib

Foundations

Depth 8 from the axioms · uses no axioms

Assumes

FirstOrder.Language.Structure