And, Lampo, if I may add to your statement, only God is absolutely infallible. He alone is totally incapable of error of any kind. Thus, when one might ask the question, “Who is infallible?” one is not expecting the only obvious and completely correct answer. In fact, the question is asked within a context which means, "Understanding that God has endowed the Church with a charism of freedom from error, who in the Church may be said to exercise this charism? Or, another and not exactly identical way of putting the question: where can infallibility be said to reside?
All infallibilty is rooted in the gift which God gives to His Church as a whole. Thus, we speak of the infallibility of the whole People of God. Refer to Lumen Gentium, 12.