BLACK-HOLES HAVE NO SHORT HAIR

We show that in all theories in which black hole hair has been discove red the region with nontrivial structure of the nonlinear matter field s must extend beyond 3/2 the horizon radius, independently of all We a rgue that this is a universal lower bound that applies in every theory where hair is present. This no short hair conjecture is then put forw ard as a more modest alternative to the original no hair conjecture, t he validity of which now seems doubtful.