proposition: Lemma NonnegativeRationals_neq0_gt0 : ∏ r : NonnegativeRationals, (r != 0) -> (0 < r).
proof: Proof. intros r Hr0. apply neghqlehtogth. intro H ; apply Hr0. now apply NonnegativeRationals_eq0_le0. 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