proposition: Lemma is_Dcuts_corr (X : Dcuts_set) : Dcuts_def_corr (pr1 X).
proof: Proof. exact (pr2 (pr2 (pr2 X))). 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