Lemma Dcuts_ge_0 : ∏ x : Dcuts, Dcuts_zero <= x. Proof. intros x r Hr. apply fromempty. revert Hr. now apply Dcuts_zero_empty. 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.