Lemma iscomm_Dcuts_min : ∏ x y : Dcuts, Dcuts_min x y = Dcuts_min y x. Proof. intros x y. apply Dcuts_eq_is_eq ; intros r. split ; apply weqdirprodcomm. 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.