Definition hsubtypeNonnegativeRationals_to_NonnegativeReals (X : NonnegativeRationals -> hProp) (Xbot : ∏ x : NonnegativeRationals, X x -> ∏ y : NonnegativeRationals, (y <= x)%NRat -> X y) (Xopen : ∏ x : NonnegativeRationals, X x -> hexists (λ y : NonnegativeRationals, (X y) × (x < y)%NRat)) (Xtop : Dcuts_def_corr X) : NonnegativeReals := make_Dcuts X Xbot Xopen Xtop.
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.