proposition: Lemma plusNonnegativeRationals_ltcompat_r : ∏ x y z : NonnegativeRationals, (y < z) <-> (y + x < z + x).
proof: Proof. intros x y z. split. - now apply hqlthandplusr. - now apply hqlthandplusrinv. 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