proposition: Lemma NonnegativeRationals_to_Dcuts_bot (q : NonnegativeRationals) : Dcuts_def_bot (λ r : NonnegativeRationals, (r < q)%NRat).
proof: Proof. intros r Hr n Hnr. now apply istrans_le_lt_ltNonnegativeRationals with 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