First off the last paragraph of Eugene IVs Bull is not his but a referrence to the 500-AD letter. Which again is Dogma and Infallible.
The quote is from a book written by Saint Fulgentius (who died in 533 AD) called “To Peter on the Faith.” The original (translated) text from that book reads as follows,
“Most firmly hold and never doubt that not only all pagans, but also all Jews, all heretics, and all schismatics who finish this life outside of the Catholic Church, will go into the eternal fire which was prepared for the devil and his angels.”
The Council of Florence elevated Saint Fulgentius’ teaching to that of the Solemn Magisterium of the Catholic Church, which made it forever infallible, and per the following solemn definition given at the First Vatican Council,
Also the letter is in context with Cyprian EENS!
Pope Pius IX, Vatican Council, Session 3, Chapter 4, ex cathedra: “Hence, too, that meaning of the sacred dogmas is ever to be maintained which has once been declared by Holy Mother Church, and there must never be any abandonment of this sense under the pretext or in the name of a more profound understanding.”
We are forever restricted to understanding the solemn definition given at the Council of Florence as it was defined at that time. Saint Fulgentius’ words are, I think, pretty self-explanatory, as is the text from the Council of Florence.
“The key to this passage is the four categories mentioned, pagans being listed first. They have received none of the message of salvation. The Jews have received only part of the message, that of the Old Testament. Third are the heretics who, although having received the complete message of salvation, seem to have lost some of it by way of a conscious separation from the Church. The fourth group is the one to whom the document is primarily directed, the schismatics. They have deliberately cut themselves off from the Church by a complete break from its head, the Pope. The reason for the strength of this statement was that it was hoped that it would bring the separated Eastern Churches back into unity with Rome. Such a strong statement was issued againnst the schismatics because of the relation between unity and charity. St. Thomas holds that unity is made by charity and therefore the schismatics are separating themselves from the unity and therefore the charity of the Church. The concern of the Council of Florence was pastoral; it was trying to bring back lost sheep.” The Church has always taught that no soul is lost except by its own fault, its rejection of truth and charity. Simply adhering to another religion does not necessarily mean such rejection. - Dr. Carroll
The encyclical is not infallible, yet it comes from an ecumenical council which means that it has the highest teaching authority, just as Lumen Gentium does and contains and infallible statement in regards to EENS.
Anyway, Pope John Paul II explicitly affirmed both the declaration by the Council of Florence and Boniface VIII as authoritative:
Quote: John Paul II
Since Christ brings about salvation through his Mystical Body, which is the Church, the way of salvation is connected essentially with the Church. The axiom extra ecclesiam nulla salus"–“outside the Church there is no salvation”–stated by St. Cyprian (Epist. 73, 21; PL 1123 AB), belongs to the Christian tradition. It was included in the Fourth Lateran Council (DS 802), in the Bull Unam Sanctam of Boniface VIII (DS 870) and the Council of Florence (Decretum pro Jacobitis, DS 1351).
Encyclicals are not infallible, No Salvation is Dogma of the Church and Scripture and it is INFALLIBLE!.
In correcting Fr. Feeney in 1949, the Supreme Congregation of the Holy Office (now the Congregation for the Doctrine of the Faith) issued a document entitled Suprema Haec Sacra, which stated that " extra ecclesiam, nulla salus" (outside the Church, no salvation) is “an infallible statement.” But, it added, “this dogma must be understood in that sense in which the Church itself understands it.”
Note that word dogma. This teaching has been proclaimed by, among others, Pope Pelagius in 585, the Fourth Lateran Council in 1214, Pope Innocent III in 1214, Pope Boniface VIII in 1302, Pope Pius XII, Pope Paul VI, the Second Vatican Council, Pope John Paul II, and the Congregation for the Doctrine of the Faith in Dominus Iesus.
Our point is this: When the Church infallibly teaches extra ecclesiam, nulla salus, it does not say that non-Catholics cannot be saved. In fact, it affirms the contrary. The purpose of the teaching is to tell us how Jesus Christ makes salvation available to all human beings.
And of course you can read this…
search.yahoo.com/r/_ylt=A0oG7lUSFw9OYWoANPVXNyoA;_ylu=X3oDMTE1Z3IxNmxjBHNlYwNzcgRwb3MDNQRjb2xvA2FjMgR2dGlkA1ZJUDA3OV8xNDc-/SIG=126gue545/EXP=1309633394/**http%3a//www.catholic.com/thisrock/2005/0512fea3.asp.
But to answer your questions NO encyclicals are not infallible.
All six questions relate to “ONE” infallible statement. which is EENS. The fact that each encyclical address’ s a specific issue within the church regarding heresy doesn’t make way for exceptions in these specifics. "The exceptions are defined by the Doctrine of Faith, Vatican-I and Vatican -II as to what specfic issue was being related to as Eugene IV had a specific agenda. John Paul II elaborated in a general sense on EENS and these encyclicals. Which gets back to… and it affirms the contrary. The purpose of the teaching is to tell us how Jesus Christ makes salvation available to all human beings which you see with JP-II
Yet you can rest assure that its impossible for EENS to be in error.
Have you read Eugene IVs complete encyclical?