Lemma isaprop_Dcuts_hsubtype (X : hsubtype NonnegativeRationals) : isaprop (Dcuts_def_bot X × Dcuts_def_open X × Dcuts_def_corr X). Proof. apply isofhleveldirprod, isofhleveldirprod. - exact (isaprop_Dcuts_def_bot X). - exact (isaprop_Dcuts_def_open X). - exact (isaprop_Dcuts_def_corr X). 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.