VF — Ownership violations in meta-model diagrams specifying libraries.

You have ownership violations in your diagrams specifying libraries. You need to have multiplicity [0..1] at the black diamond ends of the associations between the library class and the contained elements, or else these element could not legally exist outside the library. This pattern repeats for all library specifications.

No need to change meta-model and specification.

No need to change meta-model and specification. Library elements do not need to live outside the library. They are only referenced from other elements that comprise the actual design of the business.