proposition: Lemma Dcuts_half_le : ∏ x : Dcuts, Dcuts_half x <= x.
proof: Proof. intros x. intros r Hr. apply is_Dcuts_bot with (1 := Hr). now apply plusNonnegativeRationals_le_l. 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