proposition: Lemma isantisymm_hr_le : isantisymm hr_le_rel.
proof: Proof. apply isantisymmabgrdiffrel. intros X Y Hxy Hyx. apply isantisymm_leNonnegativeReals. now split. 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