Definition Dcuts_of_Dcuts_val : NonnegativeRationals → hProp := λ r : NonnegativeRationals, ∃ X : Dcuts, (E X) × (r ∈ 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.