Lemma Dcuts_mult_lecompat_r' : ∏ x y z: Dcuts, (y <= z) -> (Dcuts_mult x y <= Dcuts_mult x z). Proof. intros x y z. rewrite ! (iscomm_Dcuts_mult x). now apply Dcuts_mult_lecompat_l'. Qed.
Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.NonnegativeRationals.