First off, sorry if this sounds too "a-ha! gotcha!"

While the library of Alexandria was a hub that carried tons of information, do we have records that suggest that all or some of the information in the library had copies in other libraries/information hubs around the world? It's just astonishing to me that so much information was all in one spot, and then when it was destroyed all of that information was just lost without other records somewhere.

Sort of a followup question, just how much did the destruction of the library actually slow down cultural/technological innovation?