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subject/object pronouns following preposition

subject/object pronouns following preposition

When a pronoun following preposition is understood to be the subject of a verb that is implied but not stated, is there a rule about which pronoun to use? For example:
She is taller than I am. So, She is taller than I. (Not: She is taller than me.)
He went to the restaurant after we went there. He went there after we???

Does the pronoun following the preposition depend on which verb it's implied to be the subject of?
Or does the specific preposition determine the form of the pronoun following it, even though that pronoun may be understood to be the subject of an unstated verb?