Definition hzlehandmultlinv ( n m k : hz ) ( is : hzgth k 0 ) : hzleh ( k * n ) ( k * m ) -> hzleh n m := negf ( hzgthandmultl _ _ _ is ) .
Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups.