Documentation

Foundation.FirstOrder.Arith.Model

Equations
  • One or more equations did not get rendered due to their size.
@[simp]
theorem LO.FirstOrder.Arith.val_lMap_oringEmb {n : β„•} {ΞΎ : Type u_2} {M : Type u_1} [ORingStruc M] {L : Language} [L.ORing] [s : Structure L M] [Structure.Zero L M] [Structure.One L M] [Structure.Add L M] [Structure.Mul L M] [Structure.Eq L M] [Structure.LT L M] {e : Fin n β†’ M} {Ξ΅ : ΞΎ β†’ M} {t : Semiterm β„’β‚’α΅£ ΞΎ n} :
@[simp]
theorem LO.FirstOrder.Arith.eval_lMap_oringEmb {n : β„•} {ΞΎ : Type u_2} {M : Type u_1} [ORingStruc M] {L : Language} [L.ORing] [s : Structure L M] [Structure.Zero L M] [Structure.One L M] [Structure.Add L M] [Structure.Mul L M] [Structure.Eq L M] [Structure.LT L M] {e : Fin n β†’ M} {Ξ΅ : ΞΎ β†’ M} {Ο† : Semiformula β„’β‚’α΅£ ΞΎ n} :
structure LO.FirstOrder.Arith.Cut (L : Language) [L.ORing] (M : Type w) [s : Structure L M] :
Instances For
    structure LO.FirstOrder.Arith.ClosedCut (L : Language) [L.ORing] (M : Type w) [s : Structure L M] extends LO.FirstOrder.Structure.ClosedSubset L M :
    Instances For