In some systems of grammar, the ~ of a clause is the part of it that is not the subject. For example, in ‘I decided what to do’, ‘decided what to do’ is the ~.
If you say that one situation is ~d on another, you mean that the first situation can be true or real only if the second one is true or real. (FORMAL)
Financial success is usually ~d on having money or being able to obtain it.
VERB: usu passive, be V-ed on n/-ing