Lemma isaset_Dcuts : isaset (carrier Dcuts_hsubtype). Proof. apply isasetsubset with pr1. - apply isasethsubtype. - apply isinclpr1. intro x. apply pr2. 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.