The division of lemmas and theorems is really a bit artificial for these things. But yeah I think the spirit is that a theorem is an object that you aim to stud

The division of lemmas and theorems is really a bit artificial for these things. But yeah I think the spirit is that a theorem is an object that you aim to study, while a lemma is something you use to do that. Fermat's last theorem was a target, but the techniques including lemmas used and developed for it are the real prize for a working mathematician. Sculptures are kind of the point, but there's no question the tools used for sculpting are more useful and "worth" more in that sense.