Lemma plusNonnegativeRationals_ltcompat_r : ∏ x y z : NonnegativeRationals, (y < z) <-> (y + x < z + x). Proof. intros x y z. split. - now apply hqlthandplusr. - now apply hqlthandplusrinv. 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.