Definition make_Dcuts (X : NonnegativeRationals → hProp) (Hbot : Dcuts_def_bot X) (Hopen : Dcuts_def_open X) (Herror : Dcuts_def_corr X) : Dcuts_set. Proof. exists X ; repeat split. - now apply Hbot. - now apply Hopen. - now apply Herror. Defined.
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.