Earlier, you were presented with one infinitive use, namely the complementary infinitive. The use is called complementary because the infinitive completes the idea of the main verb.

The most significant thing about this infinitive use is that both the infinitive and the main verb go back to the same person. In this example, Gaius is the one who wants, and Gaius is the one who goes.

The objective infinitive works very much like this. As you might have guessed, rather than go back to the subject of the main verb, the objective infinitive goes back to the object of the main verb.

In this example, Gaius is the subject, vult is the main verb, and tē Rī mam ī re — the whole infinitive phrase! — is the object. The pronoun tē simultaneously serves as both the accusative direct object of vult and the accusative subject of the infinitive ī re.