proposition: Lemma Dcuts_lt_nge : ∏ x y : Dcuts, x < y -> neg (x >= y).
proof: Proof. intros x y. now apply Dcuts_gt_nle. 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