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