proposition: Lemma hr_to_NRneg_opp : ∏ x : hr_commring, hr_to_NRneg (- x)%ring = hr_to_NRpos x.
proof: Proof. intros x. unfold hr_to_NRneg. now rewrite hr_to_NR_opp. 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