Definition Dcuts_lt_rel : hrel Dcuts_set := λ (X Y : Dcuts_set), ∃ x : NonnegativeRationals, dirprod (neg (x ∈ X)) (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.