proposition: Lemma istrans_Dcuts_eq : istrans Dcuts_eq.
proof: Proof. intros x y z Hxy Hyz r. split. - intros Xr. now apply (pr1 (Hyz r)), (pr1 (Hxy r)), Xr. - intros Zr. now apply (pr2 (Hxy r)), (pr2 (Hyz r)), Zr. 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