So, I’ll echo your demand to me: show me Church Teaching that affirms this. I’ve shown you Church Teaching that does not make this assertion.
John 3
“Indeed, God did not send the Son into the world to condemn the world, but in order that the world might be saved through him. Those who believe in him are not condemned; but those who do not believe are condemned already, because they have not believed in the name of the only Son of God.
Mark 16:16 (which is in the first sentence of
DOMINUS IESUS)
He said to them, “Go into the whole world and proclaim the gospel to every creature. Whoever believes and is baptized will be saved; whoever does not believe will be condemned."
This is from Lumen Gentium, and is in the positive form:
“Those also can attain to salvation who through no fault of their own
do not know the Gospel of Christ or His Church, yet sincerely seek God and moved by grace strive by their deeds to do His will as it is known to them through the dictates of conscience.”
So someone who is seeking God, and moved by grace would accept the Gospel if only he was made aware of it.
And this:
In explicit terms He Himself [Christ] affirmed the
necessity of faith and baptism and thereby affirmed also the necessity of the Church, for through baptism as through a door men enter the Church.
Whosoever, therefore, knowing that the Catholic Church was made necessary by Christ, would refuse to enter or to remain in it, could not be saved.”
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This one is a little different. Knowing that the CC, specifically (distinctly from denominations or particular concepts of the Church), is necessary for salvation is more complex than “knowing the Gospel”.
In post 56, I showed the explanation of the sower, and the commentary describing the different reactions to the Gospel Word. The first did NOT accept at all, and it was snatched from the heart immediately, and so was not saved.
To “know” means to be aware of. That is the definition of knowing something. It is not accepting as true. That would be believing. And that would be the second (and 3rd and 4th) example of the sower’s seed.
Knowing the Gospel includes being aware with the capacity of reason. It is not restricted to accepting as the truth. Yet those who may attain to salvation, even though they do not know the Gospel, would in fact believe the Gospel if they were aware of it. Because these, the Church Teaches: “
sincerely seek God and moved by grace strive by their deeds to do His will as it is known to them through the dictates of conscience.”