Lemma NQmax_le_l : ∏ x y : NonnegativeRationals, x <= NQmax x y. Proof. intros x y. apply NQmax_case_strong ; intro Hle. - apply isrefl_leNonnegativeRationals. - exact Hle. 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.