This is the Problem with this whole way of thinking. Where is actual Church Teaching to prove that the Pope can lose his office materially, or that we can consider a public or manifest heretic as part of the Church or even more, that we can consider him the Pope?
Where is there Church teaching that says we can't?
Pax, why don't you think about this with the Teachings of the Church in mind?
Show me the clear-cut, practical, canon law procedures to use in our emergency situation.
They do not exist. This has been my point all along - we all agree on the principles of catholicism (at least, mostly) in this matter, but there is no positively certain way to handle the mess we are in. How does a priest, Bishop or Pope get from A to B (i.e. in his office to out of his office) when the Church does not act to do so? There is NOTHING which tells us laity to do anything. So, as the Apostles waited in the Upper Room until Christ rose again (surely, they waited at the advice of Our Lady) then, we simple catholics, we can DO NOTHING to fix the mess in Rome and the world, should wait for Our Lady of Fatima who said 'My Immaculate Heart will triumph'. As much as you and I would like to "do something", we have not the authority or the blueprint to do so.
Why not respond to the what I showed you above? If Paul VI was a Pope, then Dignitatis Humanae was taught ex cathedra.
There is nothing in Vatican 2 that is taught ex cathedra. It's not even close.
Paul VI starts every docuмent like this:
"SERVANT OF THE SERVANTS OF GOD TOGETHER WITH THE FATHERS OF THE SACRED COUNCIL FOR EVERLASTING MEMORY"
Which, by the way, was the exact language used by the Popes from other ecuмenical councils.
Irrelevant. This language does not meet the ex cathedra requirements. The "fathers of the sacred council" have nothing to do with infallibility.
He ends every docuмent in VII like this:
"Each and all these matters which are set forth in this Declaration have been favorably voted on by the Fathers of the Council. And We, by the apostolic authority given Us by Christ and in union with the Fathers, approve, decree and establish them in the Holy Spirit and command that they be promulgated for the glory of God."
This constitutes solemn language.
Ok, it's solemn language, but it's not the solemn language required by Vatican I for infallibility. All he did was "establish" that it's a council docuмent and that it be promulgated (i.e. issued legally) as part of the closing of the council. This is solemn, legal language; not infallibility language.
Let me contrast the above language by the infallible decree of Pius XII in "Munificentissimus Deus" for Our Lady's Assumption.
44. For which reason, after we have poured forth prayers of supplication again and again to God, and have invoked the light of the Spirit of Truth, for the glory of Almighty God who has lavished his special affection upon the Virgin Mary, for the honor of her Son, the immortal King of the Ages and the Victor over sin and death, for the increase of the glory of that same august Mother, and for the joy and exultation of the entire Church; by the authority of our Lord Jesus Christ, of the Blessed Apostles Peter and Paul, and by our own authority, we pronounce, declare, and define it to be a divinely revealed dogma: that the Immaculate Mother of God, the ever Virgin Mary, having completed the course of her earthly life, was assumed body and soul into heavenly glory.
45. Hence if anyone, which God forbid, should dare willfully to deny or to call into doubt that which we have defined, let him know that he has fallen away completely from the divine and Catholic Faith.
46. In order that this, our definition of the bodily Assumption of the Virgin Mary into heaven may be brought to the attention of the universal Church, we desire that this, our Apostolic Letter, should stand for perpetual remembrance, commanding that written copies of it, or even printed copies, signed by the hand of any public notary and bearing the seal of a person constituted in ecclesiastical dignity, should be accorded by all men the same reception they would give to this present letter, were it tendered or shown.
47. It is forbidden to any man to change this, our declaration, pronouncement, and definition or, by rash attempt, to oppose and counter it. If any man should presume to make such an attempt, let him know that he will incur the wrath of Almighty God and of the Blessed Apostles Peter and Paul.
Now, notice the parts in bold. This fulfill general requirements of an infallible statement:
1. Apostolic authority
2, Declare a truth to be divinely revealed (i.e. teach) (which deals with faith and morals)
3. Declare a penalty for rejecting it
4. It applies to the entire catholic church
Also notice that this docuмent has 47 points. Every single sentence which is previous to pt 44 (and even the few above which aren't bolded) are not infallible. The reasons which explain the purpose of the infallible statement are not infallible (i.e. pts 1-43, which is 75% of the docuмent), just the actual statement itself.
Why is this important? Because it puts into perspective Vatican 2, Trent or any other council. 95% of a council, even Trent, is not infallible. Only the specific, infallible statements are. Since Vatican 2 has no infallible statements, therefore it's not infallible. It's that simple.
I'll leave you with a quote from Pope Benedict, whom, while you may disagree that he was the pope, gave a comment which is true nonetheless:
The Pope is not an oracle, he is infallible on the rarest of occasions, as we know…"