Lemma israbsorb_Dcuts_mult_zero : ∏ x : Dcuts, Dcuts_mult x Dcuts_zero = Dcuts_zero. Proof. intros x. rewrite iscomm_Dcuts_mult. now apply islabsorb_Dcuts_mult_zero. 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.