Lemma issymm_Dcuts_eq : issymm Dcuts_eq. Proof. intros x y Hxy r. split. - exact (pr2 (Hxy r)). - exact (pr1 (Hxy r)). 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.