Lemma islapbinop_Dcuts_plus : islapbinop Dcuts_plus. Proof. intros y x x'. apply sumofmaps ; intros Hlt. - left. now apply Dcuts_plus_lt_l with y. - right. now apply Dcuts_plus_lt_l with y. 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.