Lemma multNonnegativeRationals_lecompat_r' : ∏ k x y : NonnegativeRationals, 0 < k -> x * k <= y * k -> x <= y. Proof. intros k x y Hk. rewrite !(iscomm_multNonnegativeRationals _ k). exact (multNonnegativeRationals_lecompat_l' k x y Hk). 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.