Lemma one_lt_twoNonnegativeRationals : 1 < 2. Proof. change (1 < 2)%hq. rewrite <- (hqplusr0 1%hq), hq2eq1plus1. apply hqlthandplusl. exact hq1_gt0. 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.