proposition: Lemma NR_to_hr_inside : ∏ x : NonnegativeReals × NonnegativeReals, pr1 (NR_to_hr x) x.
proof: Proof. intros x. apply hinhpr ; simpl. exists 0 ; reflexivity. Qed.
imports: UniMath.Algebra.Groups UniMath.Foundations.Preamble UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim UniMath.RealNumbers.Sets UniMath.RealNumbers.NonnegativeRationals UniMath.RealNumbers.NonnegativeReals