the LIBRARY, for example, first existed in Ancient Egypt

I think we can safely say, if Greece and Rome were considered Western civilizations, than Egypt was as well because there is evidence that they interacted quite a bit. The columns originally thought to be of Greek and Roman origin have been traced back to Egypt. Though the dipictions of their gods were different, all three had similar stock mythological deities.

By ancient library do you mean the one in Alexandria. I'm guessing you don't because Alexandria was founded by Alexander the Great. I seem to recall a mention in a world history class of the first libraries that let people borrow books, but I don't remember where they were.