What is the source of your quote? It does not state that one must formally be a member of the Church. Those who are "in" the Church are formal members, and informal members who are considered part of the Church by their striving for God.
This quote is particularly false:
and that no one, whatever almsgiving he has practiced, even if he has shed blood for the name of Christ, can be saved, unless he has remained in the bosom and unity of the Catholic Church."
Baptism of blood is gained by one who dies in the name of Christ, even if not a formal member of the Church. Baptism of desire is attained by those who seek God in an honest and earnest way.
No. You are wrong.
What is the source of your quote?"
Pope Eugene IV, Cantate Domino, 1441, and infallible declaration of the supreme magisterium of the Catholic Church.
It does not state that one must formally be a member of the Church.
Not my problem.
This quote is particularly false:
"and that no one, whatever almsgiving he has practiced, even if he has shed blood for the name of Christ, can be saved, unless he has remained in the bosom and unity of the Catholic Church."
So you just up and figure the Pope, while speaking ex cathedra, spoke falsely?