  If an extension Vbar of V satisfies the delta approximation and cover
properties for classes and V is a class in Vbar, then every suitably closed
embedding j:Vbar to Nbar in Vbar with critical point above delta restricts to
an embedding j|V:V to N amenable to the ground model V. In such extensions,
therefore, there are no new large cardinals above delta. This result extends
work in math.LO/9808011.
