Where in the Traditional teachings of the Church is your doctrine included, regarding a Non-Catholic holding office in the Catholic Church?
Since there is no provision in the traditional teachings of the Catholic Church for a pope to lose his office due to heresy, of course you cannot cite it.
Since laymen believe that they can depose a pope, of course they believe that the office of the papacy isn't really any different than that of the lay state. Not special at all. A pope is just the same as any Catholic layman. Isn't that something that Vatican II wanted to stress as well? Blur the lines between clergy and laity?