The CT says he's NOT the pope. He does keep the power to designate, though; which is different from the power to rule (Jurisdiction)...The Thesis is quite clear about the distinction between the power to rule (which Bergolio has not); and the power to designate (which he still has).
This is a case, as Lad has pointed out, of the answer being 'yes and no'.
Why can't that be the answer? Many of you are forgetting that the pope's powers are both SPIRITUAL and EARTHLY. If he's the "pope elect" then he's the pope. This means he has all the earthly powers of governing and jurisdiction.
Does this mean he has full papal powers, 90% of which are spiritual? No. So he does not have the spiritual power to teach or spiritual jurisdiction. This is the most important part of being a pope.
There are also spiritual and earthly parts of jurisdiction, which many of you forget. Another distinction to remember.
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Here's a great analogy for all of you who want to argue from general principles to a specific circuмstance so that the answer is "clear".
1. The church teaches that those who die in mortal sin go to hell.
2. Those who commit ѕυιcιdє die in mortal sin.
3. Therefore those who commit ѕυιcιdє go to hell.
4. Therfore Suzie Smith, who committed ѕυιcιdє is in hell.
Of course, we cannot say that #4 is correct. The Church has (and never would) say that.
So, you want to use the same logic concerning the pope, (90% of AES's posts use this logic) but it doesn't work.
1. The church teaches that heretics are 'ipso facto' excommunicated.
2. The church teaches that heretics are not members of the church and that a non-member can't hold office.
3. Therefore if a pope is a heretic, he can't hold office and is not a member of the church.
4. Therefore the post-conciliar popes are not popes.
The logic sounds 'air tight' but it's just not. I wish it were, but it's not that simple. It's probably that simple for anyone who's not the pope, but the pope is a different flavor of heretic because he has a God-appointed position (which every other position in the church does not), therefore he's treated differently.