Lemma ispositive_Rone : 0 < 1. Proof. rewrite <- NRNRtoR_zero, <- NRNRtoR_one. apply NRNRtoR_lt. rewrite !isrunit_zero_plusNonnegativeReals. apply ispositive_apNonnegativeReals. apply isnonzeroNonnegativeReals. Qed.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.NonnegativeRationals.