proposition: Lemma plusNonnegativeRationals_ltcompat_l : ∏ x y z : NonnegativeRationals, (y < z) <-> (x + y < x + z).
proof: Proof. intros x y z. rewrite !(iscomm_plusNonnegativeRationals x). now apply plusNonnegativeRationals_ltcompat_r. 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