proposition: Lemma invNonnegativeRationals_ltcompat' : ∏ x y : NonnegativeRationals, 0 < y -> / y < / x -> x < y.
proof: Proof. intros x y Hy0 Hxy. rewrite <- (isinvolutive_invNonnegativeRationals x), <- (isinvolutive_invNonnegativeRationals y). apply invNonnegativeRationals_ltcompat. - apply ispositive_invNonnegativeRationals. exact Hy0. - exact Hxy. Qed.
imports: UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Orders UniMath.RealNumbers.Sets UniMath.RealNumbers.Fields UniMath.Algebra.DivisionRig UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim