  We show that the Julia set of a non-elementary rational semigroup G is
uniformly perfect when there is a uniform bound on the Lipschitz constants of
the generators of G. This also proves that the limit set of a non-elementary
Moebius group is uniformly perfect when there is a uniform bound on the
Lipschitz constants of the generators of the group and this implies that the
limit set of a finitely generated non-elementary Kleinian group is uniformly
perfect.
