proposition: Lemma isirrefl_Dcuts_lt_rel : isirrefl Dcuts_lt_rel.
proof: Proof. intros x. unfold neg ; apply (hinhuniv (P := make_hProp _ isapropempty)). intros r. apply (pr1 (pr2 r)). exact (pr2 (pr2 r)). 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