Every consecration of a Sede has been illicit, since they all lacked the legal requirement of a papal mandate. Not to mention that most were performed by a bishop of a false church, such as the Old Catholic church, or one who was already excommunicated. What is amazing to me is that you sedevacantist heretics actually think your Catholic.
According to canon law the principle of Epikeya justifies the consecration of a bishop without a papal mandate [i.e. in cases of extreme necessity]. There are Sedevacantist organizations which derive their lineage from the Old "Catholics", but as Ladislaus said, not all Sede institutions have received their lineage from those schismatics. What is "amazing to me" is that you actually consider a man like "Pope Francis" to be the pope. A man whom: openly teaches that adulterers can receive holy communion, says that Protestants and the Eastern Schismatics don't need conversion, says that non-Catholics can lawfully receive holy communion, says that Jews are the "chosen people of God", says that atheists can get to heaven, believes one can be saved simply by "following their conscience", believes that Protestants are in the Church of Christ, says that Muslims worship the same God, prays and worships with non-Catholics [that includes neo-pagans], says that there is "no Catholic God", awards pro-choice politicians with medals, gives the right to investiture to a secular Communist dictator, etc.
What amazes me is how a modernist liberal heretic like yourself can recognize a man like "Paul VI", an antichrist who promulgated the heretical and blasphemous teachings of Vatican II, to be the Vicar of Christ on earth. What amazes me is how you can recognize an apostate like "John Paul II" to be saint. That's what is "amazing to me".
Arnaldo, if you truly love Jesus [and I am not saying you don't as I don't know your heart], then you would look at these facts and reject Bergoglio as a man of Satan.