proposition: Lemma NRNRtoR_RtoNRNR : ∏ x : Reals, NRNRtoR (pr1 (RtoNRNR x)) (pr2 (RtoNRNR x)) = x.
proof: Proof. intros X. unfold NRNRtoR. apply hr_to_NR_bij. 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