proposition: Lemma le_eqorltNonnegativeRationals : ∏ x y : NonnegativeRationals, x <= y -> (x = y) ⨿ (x < y).
proof: Proof. intros x y Hle. generalize (hqlehchoice (pr1 x) (pr1 y) Hle) ; apply sumofmaps ; [intros Hlt | intros Heq]. - right ; exact Hlt. - left. now apply subtypePath_prop, Heq. Qed.
imports: UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Orders UniMath.RealNumbers.Sets UniMath.RealNumbers.Fields UniMath.Algebra.DivisionRig UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim