proposition: Lemma NonnegativeRationals_to_Dcuts_open (q : NonnegativeRationals) : Dcuts_def_open (λ r : NonnegativeRationals, (r < q)%NRat).
proof: Proof. intros r Hr. apply hinhpr. generalize (between_ltNonnegativeRationals r q Hr) ; intros n. exists (pr1 n). split. - exact (pr2 (pr2 n)). - exact (pr1 (pr2 n)). 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