Lemma israpbinop_plus : israpbinop (X := _,,_,,istightap_hr_ap) BinaryOperations.op1. Proof. intros X Y Z Hap. apply islapbinop_plus with X. rewrite !(ringcomm1 _ _ X). exact Hap. 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.