Definition make_boolDcuts (x : Dcuts) (Hdec : ∏ r : NonnegativeRationals, (r ∈ x) ⨿ ¬ (r ∈ x)) : boolDcuts := x,, (λ r : NonnegativeRationals, hinhpr (Hdec r)).
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.NonnegativeRationals.