It holds that ¬(∀subsets: isverified(subset)) but it's not true that ∀subsets: ¬isverified(subset), which it think most people would interpret "the whole system is unverified" as

If I independently verify that subsystem A properly consumes apples, and that subsystem B is properly emitting oranges, but never verify that subsystem A is receiving apples, and just connect subsystem B to it, then yeah, the system is not verified.