Definition Dcuts_eq_rel := λ X Y : Dcuts_set, ∏ r : NonnegativeRationals, (r ∈ X -> r ∈ Y) × (r ∈ Y -> 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.