proposition: Lemma eq0orgt0NonnegativeRationals : ∏ x : NonnegativeRationals, (x = 0) ⨿ (0 < x).
proof: Proof. intros x. generalize (le_eqorltNonnegativeRationals 0 x (pr2 x)) ; apply sumofmaps ; intros Hx. - rewrite Hx ; now left. - right ; exact Hx. 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