Is Francis the pope? The argument from public heresy suggests not - LifeSite

That article promised more detailed expositions of these arguments. This is the first of those more detailed explanations and deals with the argument that Francis is not the true pope because he is not a member of the Catholic Church, as a result of his departure from the public profession of the Catholic faith.
The Catholic Church teaches that her members are those who:
have received the sacrament of baptismpublicly profess the Catholic faithsubmit to the lawful authorities of the Church.
As a consequence, the following can never, under any circumstances, be considered as members of the Catholic Church.
the unbaptizedpublic hereticspublic schismatics.
Those whom ecclesiastical authority has excluded by its own act, that is, those subject to a sentence of perfect excommunication, are also not to be regarded as members.
This doctrine of membership has, for many centuries, been clearly proposed to the faithful, in dozens, possibly hundreds of catechetical texts, which have been approved …