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