Lemma Dcuts_minus_correct_r: ∏ x y z : Dcuts, x = Dcuts_plus y z -> y = Dcuts_minus x z. Proof. intros x y z Hx. apply Dcuts_minus_correct_l. rewrite Hx. now apply iscomm_Dcuts_plus. 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.