proposition: Lemma Rabs_pr2RtoNRNR : ∏ x : Reals, (pr2 (RtoNRNR x) <= Rabs x)%NR.
proof: Proof. intros x. rewrite <- (NRNRtoR_RtoNRNR x). generalize (pr1 (RtoNRNR x)) (pr2 (RtoNRNR x)) ; clear x ; intros x y ; simpl. apply maxNonnegativeReals_le_r. 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