proposition: Lemma isaprop_Dcuts_eq_rel : ∏ X Y : Dcuts_set, isaprop (Dcuts_eq_rel X Y).
proof: Proof. intros X Y. apply impred_isaprop ; intro r. apply isapropdirprod. - now apply isapropimpl, pr2. - now apply isapropimpl, pr2. Qed.
imports: UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Notations UniMath.RealNumbers.Sets UniMath.Algebra.ConstructiveStructures UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim UniMath.RealNumbers.NonnegativeRationals