Definition Dcuts_le_rel : hrel Dcuts_set := λ X Y : Dcuts_set, make_hProp (∏ x : NonnegativeRationals, x ∈ X -> x ∈ Y) (impred_isaprop _ (λ _, isapropimpl _ _ (pr2 _))).
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.