proposition: Lemma istrans_Dcuts_le_rel : istrans Dcuts_le_rel.
proof: Proof. intros x y z Hxy Hyz r Xr. refine (Hyz _ _). now refine (Hxy _ _). 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