Lemma NonnegativeRationals_neq0_gt0 : ∏ r : NonnegativeRationals, (r != 0) -> (0 < r). Proof. intros r Hr0. apply neghqlehtogth. intro H ; apply Hr0. now apply NonnegativeRationals_eq0_le0. Qed.
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.Fields. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim.