Lemma minusNonnegativeRationals_zero_r : ∏ x : NonnegativeRationals, x - 0 = x. Proof. intros x. rewrite <- (isrunit_zeroNonnegativeRationals (x - 0)). apply minusNonnegativeRationals_plus_r. now apply isnonnegative_NonnegativeRationals. 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.