Lemma NRNRtoR_inside : ∏ x y : NonnegativeReals, pr1 (NRNRtoR x y) (x,,y). Proof. intros x y. apply hinhpr. exists 0%NR ; simpl. reflexivity. 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.