Lemma Dcuts_mult_lecompat_l' : ∏ x y z: Dcuts, (y <= z) -> (Dcuts_mult y x <= Dcuts_mult z x). Proof. intros x y z. intros H ; apply Dcuts_nlt_ge ; intro H0 ; apply (pr2 (Dcuts_nlt_ge _ _) H). now apply (Dcuts_mult_ltcompat_l' x). 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.