proposition: Lemma isirrefl_Dcuts_ap_rel : isirrefl Dcuts_ap_rel.
proof: Proof. intros x. unfold neg. apply sumofmaps. - now apply isirrefl_Dcuts_lt_rel. - now apply isirrefl_Dcuts_lt_rel. 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