Definition Dcuts_half (x : Dcuts) : Dcuts := make_Dcuts (Dcuts_half_val (pr1 x)) (Dcuts_half_bot (pr1 x) (is_Dcuts_bot x)) (Dcuts_half_open (pr1 x) (is_Dcuts_open x)) (Dcuts_half_corr (pr1 x) (is_Dcuts_bot x) (is_Dcuts_corr x)).
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.