Now that I presented you with the evil, I will give you the teaching of the Church regarding the Body of the Church
Pope Eugene IV, Council of Florence, “Cantate Domino,” 1441, ex cathedra: “The Holy Roman Church firmly believes, professes, and proclaims that none of those existing outside the Catholic Church, not only pagans, but also Jews, heretics and schismatics can become participants in eternal life, but they will depart ‘into everlasting fire which was prepared for the devil and his angels’ [Matt. 25:41], unless before the end of life they have been added to the flock; and that the unity of this ecclesiastical body (ecclesiastici corporis) is so strong that only for those who abide in it are the sacraments of the Church of benefit for salvation, and do fasts, almsgiving, and other functions of piety and exercises of a Christian soldier produce eternal rewards. No one, whatever almsgiving he has practiced, even if he has shed blood for the name of Christ, can be saved, unless he has persevered within the bosom and unity of the Catholic Church.”
Pope Pius XI, Mortalium Animos (# 10), Jan. 6, 1928: “For since the mystical body of Christ, in the same manner as His physical body, is one, compacted and fitly joined together, it were foolish and out of place to say that the mystical body is made up of members which are disunited and scattered abroad: whosoever therefore is not united with the body is no member of it, neither is he in communion with Christ its head.”
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From now on it's from the MHFM website
The tittle of the Article (which is great) is: "Can one be “inside” the Catholic Church without being a “member”?"
"REFUTING A FALSE EXAMPLE OF BEING “INSIDE” WITHOUT BEING A “MEMBER”
Pope Pius XII, Mystici Corporis Christi (#30), June 29, 1943: “…it was on the tree of the Cross, finally, that He entered into possession of His Church, that is, of all the members of His Mystical Body; for they would not have been united to this Mystical Body through the waters of Baptism except by the salutary virtue of the Cross, by which they had already been under the complete sway of Christ.”
Pope Pius XII equates the Church with “all the members of His Mystical Body”! Therefore, only the members are in the Church! Since the Church is THE MEMBERS, and there is no salvation outside the Church, there is no salvation outside being a member. Msgr. Fenton is simply wrong.
To further prove the point, let’s look at the Council of Trent’s Decree on Justification, Chap. 7...
Pope Paul III, Council of Trent, Sess. 6, Chap. 7 on Justification: “Hence man through Jesus Christ, into whom he is ingrafted, receives in the said justification together with the remission of sins all these gifts infused at the same time: faith, hope and charity. For faith, unless hope and charity be added to it, neither unites one perfectly with Christ, nor makes him a living member of his body.” (Denz. 800)
The justified man is ingrafted into Christ. The concept of being “ingrafted” is again that of membership: all the justified are ingrafted into Christ as members. This is proven by the Council’s declaration that becoming a living member of the Church doesn’t happen “unless” (‘nisi’) hope and charity are added to faith. That means that if and when hope and charity are added to faith, one is made a living member of the Church. Well, hope and charity are added to faith in every justified person.
A person simultaneously receives faith, hope and charity infused into his soul at the moment of justification, as Trent says above. Therefore, every person who is justified, since they all have faith, hope and charity, is made a living member (‘vivum membrum’) of the Church. This totally contradicts the teaching of Msgr. Fenton and Suprema haec sacra, which is that one can be justified by baptism of desire (and thus have faith, hope and charity) without being a “member” of Christ’s Body. Msgr. Fenton is simply wrong."
Note: The article makes reference to "A Review of the book, The Catholic Church and Salvation, by Msgr. Joseph Clifford Fenton"