proposition: Lemma iscotrans_Dcuts_ap_rel : iscotrans Dcuts_ap_rel.
proof: Proof. intros x y z. apply sumofmaps ; intros Hap. - generalize (iscotrans_Dcuts_lt_rel _ y _ Hap) ; apply hinhfun. apply sumofmaps ; intros Hy. + now left ; left. + now right ; left. - generalize (iscotrans_Dcuts_lt_rel _ y _ Hap) ; apply hinhfun. apply sumofmaps ; intros Hy. + now right ; right. + now left ; right. 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