Lemma Dcuts_eq_le : ∏ x y : Dcuts, Dcuts_eq x y -> x <= y. Proof. intros x y Heq. intro r ; now apply (pr1 (Heq _)). 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.