Definition Dcuts_def_open (X : hsubtype NonnegativeRationals) : UU := ∏ x : NonnegativeRationals, X x -> ∃ y : NonnegativeRationals, (X y) × (x < y).
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.