I am trying to create a restricted access library. I removed everything but VIEW rights for public. I then added myself and one other user as librarians, and gave a third user Add, Change, Delete, Set official version, and Reset in-use flag.

However, when I try to create a document in the library, I get the following message:
Insufficient security rights. Access denied
Library: HR Library
Your rights for this library are: View

I should mention, the Post Office holding the library is in a secondary domain and po which will be dedicated to handling document management. I (and all other users) are in a different PO and domain.