proposition: Lemma Dcuts_min_bot : Dcuts_def_bot Dcuts_min_val.
proof: Proof. intros r Hr q Hqr. split. - apply X_bot with (1 := pr1 Hr), Hqr. - apply Y_bot with (1 := pr2 Hr), Hqr. 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