We could recreate society relatively quickly
if enough people and artifacts survived and human society itself recovered quickly enough. When people know for certain something is possible they are much more determined to make it happen. Bits of knowledge would trickle through the survivors and help accelerate the process.
Unfortunately during a collapse of society you very rarely find hospitable environments. By the time society itself recovers and has the resources to spare everyone who knew of the old world is dead and a lot of the artifacts are ruined or destroyed.
Seed vaults, storing equipment and books in salt mines, etc should prove extremely helpful if such a dire situation arises. It might take a lot longer to rebuild though because there won't be any cheap, easy oil to burn.