Lemma notge_ltNonnegativeRationals : ∏ x y : NonnegativeRationals, (¬ (y <= x)) <-> (x < y). Proof. intros x y. split. - now apply neghqgehtolth. - now apply hqlthtoneghqgeh. 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.