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