All proclamations made by the pope are infallible when he makes them, and all of the modifications he makes to his proclamations are also infallible. In other words, all things go.
Consider this, if the pope was installed in his position by the Holy Spirit, he is installed as the Bishop of Rome. Even if he is unable to continue in his role, he remains Pope, because it is the action if the Holy Spirit. Once a living pope is superseded by a second pope, so to speak, then there are two popes in Rome. That means two popes can be infallible at the same time. Can you imagine how much fun that would be?