Oedipus Rex

Creon argues that it doesn't make sense that he'd try to overthrow Oedipus. He already shares a large amount of the authority as part of the de facto triumvirate made of Oedipus, Jocasta and himself. He thinks it would be silly to pursue through violence and hassle a crown when he already has the power. As he lacks the ambition for that, he thinks the claims are unfounded.