Lemma multNonnegativeRationals_eqcompat_r: ∏ k x y : NonnegativeRationals, 0 < k -> x * k = y * k -> x = y. Proof. intros k x y. rewrite !(iscomm_multNonnegativeRationals _ k). now apply multNonnegativeRationals_eqcompat_l. Qed.
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.Fields. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim.