proposition: Lemma Dcuts_max_bot : Dcuts_def_bot Dcuts_max_val.
proof: Proof. intros r Hr q Hqr. revert Hr ; apply hinhfun ; apply sumofmaps ; [ intros Xr| intros Yr]. - left ; now apply X_bot with (1 := Xr). - right ; now apply Y_bot with (1 := Yr). 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