Definition Dcuts_eq : hrel Dcuts_set := λ X Y : Dcuts_set, make_hProp (∏ r, (r ∈ X -> r ∈ Y) × (r ∈ Y -> r ∈ X)) (isaprop_Dcuts_eq_rel 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.