Lemma isaprop_Dcuts_def_open (X : hsubtype NonnegativeRationals) : isaprop (Dcuts_def_open X). Proof. repeat (apply impred_isaprop ; intro). now 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.