Lemma ispositive_plusNonnegativeRationals_r : ∏ x y : NonnegativeRationals, 0 < y -> 0 < x + y. Proof. intros x y Hy. apply istrans_lt_le_ltNonnegativeRationals with y. - exact Hy. - now apply plusNonnegativeRationals_le_l. 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.