proposition: Lemma hr_to_NR_bij : ∏ x : hr_commring, NR_to_hr (hr_to_NR x) = x.
proof: Proof. intros x. unfold NR_to_hr. pattern x at 2. apply (setquotl0 _ x ((hr_to_NR x),,(hr_to_NR_correct x))). 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