proposition: Lemma Dcuts_gt_nle : ∏ x y : Dcuts, x > y -> neg (x <= y).
proof: Proof. intros x y Hlt Hle. now apply (pr2 (Dcuts_le_ngt_rel _ _)) in Hle. 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