Can you walk me through the steps you used to arrive at this moral certitude, or at least provide the syllogism?
Can 188.4: Any office becomes vacant upon the fact and without any declaration by tacit resignation recognized by the law itself if a cleric publicly defects from the Catholic Faith.
The Spanish edition says "publicly apostatizes" instead of "publicly defects"
Cabreros comments the following: The action for which the resignation occurs must be done voluntarily, following the conditions of canon 185, but with this condition meet, the office loss is necessarily produced.
Summa Theologica, Pt. II-II, q. 12, art. 1, obj. 2 [···] if anyone were to have himself circuмcised, or to worship at the tomb of Mahomet, he would be deemed an apostate.

Also, if the new rites of consecration are invalid, Francis and Benedict where never Bishops. The Pope is the Bishop of Rome, therefore &c.
4) Lastly, since many theologians (e.g. Garrigou-Lagrange) maintain that if a pope fell into heresy, and ceased to be a member of the Church, he could nevertheless remain a true Pope, can you show where the Church has ever taught the contrary?
Did Lagrange really mantain that, with that words? It is illogical. The Pope is the head of the church, thus is inside the church. The heretical Pope ceases to be a member of the church, thus is outside the church. The principle of no contradiction is violated.
Will one of those who downvoted me explain why they accept the new religion of Gerard des Lauriers, which teaches the two novel doctrines discussed above. For the life of me, I cannot understand why anyone would accept his New Religion or the two novel doctrines he invented as the basis or it.
A new Religion just because,
arguendo, he taught a new ecclesiology?????? That's really rash.