So how corrupt would a pope have to be before the institution he represents loses its authority? How many children diddled? How many illegimate children before the “Infailible in faith and morals” is no longer valid?
You wrote:
“So how corrupt would a pope have to be before the institution he represents loses its authority?”
No pope’s evils could corrupt Christ’s Church because Christ is the founder and not the pope. Just as Christ is always holy, so is the Church - no matter how inadequate the earthly leader of the Church is.
“How many children diddled? How many illegimate children before the “Infailible in faith and morals” is no longer valid?”
No amount of sin on the part of a pope would stop the Holy Spirit from accomplishing His work. The pope’s infallibility has to do with his office and the negative protection of the Holy Spirit. It has nothing to do with his personal behavior. That’s why even the worst popes never changed Church doctrine, never taught ever as if it were the faith and never violated papal infallibility.