proposition: Lemma Dcuts_max_carac_r : ∏ x y : Dcuts, x <= y -> Dcuts_max x y = y.
proof: Proof. intros x y Hxy. rewrite iscomm_Dcuts_max. now apply Dcuts_max_carac_l. 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