Lemma NRNRtoR_opp : ∏ x y : NonnegativeReals, NRNRtoR y x = - NRNRtoR x y. Proof. intros x y. apply pathsinv0, NR_to_hr_opp. Qed.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.NonnegativeRationals.