  Let mu be singular of uncountable cofinality. If mu>2^{cf(mu)}, we prove that
in P=([mu]^mu,supseteq) as a forcing notion we have a natural complete
embedding of Levy(aleph_0, mu^+) (so P collapses mu^+ to aleph_0) and even
Levy(aleph_0, U_{J^{bd}_kappa}(mu)) . The ``natural'' means that the forcing
({p in [mu]^mu :p closed}, supseteq) is naturally embedded and is equivalent to
the Levy algebra. If mu <2^{cf(mu)} we have weaker results.
