It's there. I didn't see it in the beginning. Then I realized I had to not only accept what is written, but also what is stated by what is imparted in the full narrative. God wrote the names of all whom HE would save before there was anything in this world, not yet created, for those not yet created much less having names, to be saved from. Sin existed before this world, or people. God, eternally knowledgeable, created Eden with a forbidden tree at its center. And not by the woman who ate of it first, but by the man who did, sin that.already existed and damns entered the world. And now the book of life's names destiny would be fulfilled. "And all whose names were not written in the book of life God had filled with names before the creation of the world were.thrown into the lake of fire." Do you think those people's namesmay exist in one of those other books laid before the great white throne? Those whose names were not written means God, eternally knowing, would know those too. How else to differentiate amid all the dead being judged?
Mounce Greek Interlinear version:
Bible Gateway passage: Revelation 20 - Mounce Reverse Interlinear New Testament.
And
kai
anyone
ei tis
whose name
was
not
ou
found
heuriskō
written
graphō
in
en
the
ho
Book
biblos
of
ho
Life
zōē
was
thrown
ballō
into
eis
the
ho
lake
limnē
of
ho
fire
pyr. That is what I believe.