I’m curious as to how Sedevacantists believe the Church will ever have a legitimate pope. After Pope Francis leaves the Holy Office, his successor will be chosen by the College of Cardinals, the majority of whom were selected by Pope Francis. But if Francis is an illegitimate pope, the cardinals he has appointed are also not legitimate.. Do Sedevacantists simply ignore this issue, or do they believe that there is something like “supplied jurisdiction” that legitimizes the next conclave?

@Irishpol According to St. Malachy's Prophecy of the Popes, Benedict XVI (the "Glory of the Olive") was the last legitimate Pope this side of "the end of the Age."

Bergoglio is the one who "shall obtain the kingdom by fraud" (Daniel 11:21). He is the "eighth king" (Apocalypse 17:11) who "goeth into destruction." Daniel calls him "the little horn," the "leader that shall come, shall destroy the city and the sanctuary" (Daniel 9:26).

The Catechism of the Catholic Church describes the events as follows:

The Church's ultimate trial

675 Before Christ's second coming the Church must pass through a final trial that will shake the faith of many believers.[573] The persecution that accompanies her pilgrimage on earth[574] will unveil the "mystery of iniquity" in the form of a religious deception offering men an apparent solution to their problems at the price of apostasy from the truth. The supreme religious deception is that of the Antichrist, a pseudo-messianism by which man glorifies himself in place of God and of his Messiah come in the flesh.[575]

676 The Antichrist's deception already begins to take shape in the world every time the claim is made to realize within history that messianic hope which can only be realized beyond history through the eschatological judgement. the Church has rejected even modified forms of this falsification of the kingdom to come under the name of millenarianism,[576] especially the "intrinsically perverse" political form of a secular messianism.[577]

677 The Church will enter the glory of the kingdom only through this final Passover, when she will follow her Lord in his death and Resurrection.[578] The kingdom will be fulfilled, then, not by a historic triumph of the Church through a progressive ascendancy, but only by God's victory over the final unleashing of evil, which will cause his Bride to come down from heaven.[579] God's triumph over the revolt of evil will take the form of the Last Judgement after the final cosmic upheaval of this passing world.[580]

573 Cf. Lk 18:8; Mt 24:12.
574 Cf. Lk 21:12; Jn 15:19-20.
575 Cf. 2 Th 2:4-12; I Th 5:2-3; 2 Jn 7; I Jn 2:1 8, 22.
576 Cf. DS 3839.
577 Pius XI, Divini Redemptoris, condemning the "false mysticism" of this "counterfeit of the redemption of the lowly"; cf. GS 20-21.
578 Cf. Rev 19:1-9.
579 Cf Rev 13:8; 20:7-10; 21:2-4.
580 Cf. Rev 20:12 2 Pt 3:12-13.

From Piux XI, Divini Redemptoris, 57:

"In the beginning Communism showed itself for what it was in all its perversity; but very soon it realized that it was thus alienating the people. It has therefore changed its tactics, and strives to entice the multitudes by trickery of various forms, hiding its real designs behind ideas that in themselves are good and attractive. Thus, aware of the universal desire for peace, the leaders of Communism pretend to be the most zealous promoters and propagandists in the movement for world amity. Yet at the same time they stir up a class-warfare which causes rivers of blood to flow, and, realizing that their system offers no internal guarantee of peace, they have recourse to unlimited armaments. Under various names which do not suggest Communism, they establish organizations and periodicals with the sole purpose of carrying their ideas into quarters otherwise inaccessible. They try perfidiously to worm their way even into professedly Catholic and religious organizations. Again, without receding an inch from their subversive principles, they invite Catholics to collaborate with them in the realm of so-called humanitarianism and charity; and at times even make proposals that are in perfect harmony with the Christian spirit and the doctrine of the Church."

Bergoglio is the ultimate "worm" spoken of by Pius XI. He will be called the great "peacemaker." But "peace" at what price? At the price of "apostasy from the Truth."

Excellency Bishop Strickland said very important truth.....he always many effort protect to our Orthodox teachings....I strong support him, really respect to him...but many worry..Bergoglio will trying remove to this great Bishop....hmm....do you think many bishops against to Bergoglio?? @Kenjiro M. Yoshimori if you think yes...it's really really wonderful!!!! now...Bergoglio changing to all Orthodox dioceses..include my diocese...Archdiocese of Seoul Korea....this crazy old man appointed to so many wrong Bishops....So much horrible....these days...I found Eminence Cardinal Ottaviani's message....when Second Vatican council time....he wrote to his diary...(I pray to God that I die before the end of this Council, so that I at least die a Catholic..)now....Bergoglio's Synod worst than Second Vatican Council...so worst than council...so I think many Orthodox Catholic people are same to Eminence Cardinal Ottaviani's feeling...so much pray...please before finish to this wrong Synod...we will get to real Pope, Orthodox Pope...Fast time....many talking sorry..God bless always you and all your family, lovely people..take care...

"Resembles too much the protestant chant, "Church No, Jesus Yes." Very dangerous territory." And you ould rather follow Francis into his "Synodal Church, which IS Protestant? I would hope not. God bless Bishop Strickland for speaking the truth and standing for the True Catholic Faith, and also the Latin Mass which he still celebrates and allows celebration of it. I hope more Bishops rise up to defend the True Faith against Pope Francis and his "protestant" Synodal Church and his homo advisos and appointees.