proposition: Lemma plusNonnegativeRationals_correct : ∏ (x y : NonnegativeRationals), x + y = Rationals_to_NonnegativeRationals (pr1 x + pr1 y)%hq (hq0lehandplus _ _ (pr2 x) (pr2 y)).
proof: Proof. intros x y. apply subtypePath_prop. reflexivity. 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