Definition hzgehtoneghzlth ( n m : hz ) : hzgeh n m -> neg ( hzlth n m ) := λ gnm lnm, hzlehtoneghzgth _ _ gnm lnm .
Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups.