proposition: Lemma not_Dcuts_ap_eq : ∏ x y : Dcuts, ¬ (x ≠ y) -> (x = y).
proof: Proof. intros x y. now apply istight_Dcuts_ap_rel. Qed.
imports: UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Notations UniMath.RealNumbers.Sets UniMath.Algebra.ConstructiveStructures UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim UniMath.RealNumbers.NonnegativeRationals