The 6th floor of the Grand Library is filled with things that are useful for Ashton's current predicament...
Intermediate knowledge about magic, tips for improvements, important life and survival skills, records of the Outside World expeditions...these are only a few of the things that are in here.
Ashton decided to move here with Aria instead of the 3rd floor since he had read everything that the lower floors have to offer at this point. Plus, Aria's Private Room could be access in any floors anyway so it wasn't much of a problem.
He also recovered well enough to continue his training, now though, he's pacing himself more evenly in order to not burn-out himself anymore. He spent as much as time as he could with Aria since their relationship is fresh and frankly, they just can't get enough of each other since then.
