Definition Dcuts_ap_rel (X Y : Dcuts_set) : hProp := make_hProp ((X < Y) ⨿ (Y < X)) (isaprop_Dcuts_ap_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.