Lemma Dcuts_mult_ltcompat_l' : ∏ x y z: Dcuts, (Dcuts_mult y x < Dcuts_mult z x) -> (y < z). Proof. intros x y z. now apply Dcuts_mult_lt_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.