proposition: Lemma plusNonnegativeRationals_eqcompat_r: ∏ k x y : NonnegativeRationals, (x + k = y + k) -> (x = y).
proof: Proof. intros k x y. rewrite !(iscomm_plusNonnegativeRationals _ k). now apply plusNonnegativeRationals_eqcompat_l. 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