Lemma not_Dcuts_ap_eq : ∏ x y : Dcuts, ¬ (x ≠ y) -> (x = y). Proof. intros x y. now apply istight_Dcuts_ap_rel. 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.