Ok for simplicity's sake I avoided the fact there is controversy as to if the Arabs did in fact finish off the Library of Alexandria for good.
Because the Christians destroyed anything of real value in it long before Muhammad was ever born, due to the fact that the library was kept by a Pagan
So the mob burned everything in it, mutilated her body and dragged her through the streets.
Anything in the library after that would have been miniscule and of no real value, other than the building itself.
Which really wouldn't have mattered because that whole part of Alexandria is underwater now.
However, the contents of Alexandria were not "lost".
The doccuments and books and all that was in it was destroyed by the Christians in Egypt in 391 AD, but the knowledge was preserved in other
doccuments and books by the Church.
And there they remained until they fell into Templar hands, and clergy's hands, and eventually they leaked out into the world.
During the Renaissance the Church lost all control over their archives and this is why today you have Aristotle and Plato.
And why the Renaissance picked up so easily.
It's just not taught much that the Library of Alexandria was not the only place of knowledge, but one of the last places of FREE knowledge,
afterwards Europe plunged into the Catholic fueled Dark Age, where the Church gained control of the people through the people's ignorance and
But that's a COMPLETELY other debate.
However in conclusion, it doesn't seem you intended to mar just the Islams, but that it just came off that way, just like I can't truly claim it is
a "lie" it's just not fully known.
But now we both have contributed the near complete unmarred view full of a few opinions and ideas to keep a healthy debate going