Lemma plusNonnegativeRationals_lt_l : ∏ r q : NonnegativeRationals, 0 < r -> q < r + q. Proof. intros x y. rewrite iscomm_plusNonnegativeRationals. now apply plusNonnegativeRationals_lt_r. 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.