The Objective Case is the form that should be used in these constructions:

(1) Object of verb, verbal, or verb phrases.

(2) Predicate attribute of object. (A rare use of pronouns).

(3) Appositive of a noun or pronoun in an objective construction.

(4) Adverbial adjunct. (This includes indirect object).

(5) Object of preposition.

(6) Subject of infinitive. (To be studied later).