proposition: Lemma ispositive_multNonnegativeRationals: ∏ x y : NonnegativeRationals, 0 < x -> 0 < y -> 0 < x * y.
proof: Proof. intros x y Hx Hy. rewrite <- (israbsorb_zero_multNonnegativeRationals x). apply multNonnegativeRationals_ltcompat_l. + exact Hx. + exact Hy. 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