Lemma plusNonnegativeReals_lt_r: ∏ x y : NonnegativeReals, 0 < y <-> x < x + y. Proof. intros x y. pattern x at 1. rewrite <- (isrunit_zero_plusNonnegativeReals x). now apply plusNonnegativeReals_ltcompat_r. Qed.
Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.NonnegativeRationals.