proposition: Lemma Dcuts_max_le : ∏ x y z, x <= z -> y <= z -> Dcuts_max x y <= z.
proof: Proof. intros x y z Hx Hy r. apply hinhuniv ; apply sumofmaps ; [intros Xr|intros Yr]. - now refine (Hx _ _). - now refine (Hy _ _). 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