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