verbs
make the (grammatical) predicate in a proposition
"The predicate `dog' is predicated of the subject `Fido' in the sentence `Fido is a dog'"
is a type of (narrower)
be in a relationship with
"How are these two observations related?"
affirm or declare as an attribute or quality of
"The speech predicated the fitness of the candidate to be President"
involve as a necessary condition of consequence; as in logic
"solving the problem is predicated on understanding it well"