  We examine what can be deduced from the discovery of a Higgs boson, focusing
on a possible discovery at LEP. The analysis begins with the most general
situation where no further constraints can be deduced, and then specializes to
include various assumptions. Assuming naturalness, the relatively large mass
suggests that one or more of larger $\tan \beta$, large phase, or extra
singlets is present. We discuss the implications of a Higgs mass discovery for
the SUSY spectrum, and in particular gluinos and stops. We show that a lighter
gluino produceable at the Tevatron remains a likely possibility, in
disagreement with a recent claim.
