I’m extremely curious to hear more about your experiences with this! Is it a matter of providing working examples to understand the boundaries of different theorems?
My prof's teaching is not that good, he skips several things (not basic) while teaching & when I refer textbook, I don't get it.
Theorem consists of several statements, conditions, and understanding of those things where & why they are required, what happens without those conditions?
To understand theorems, I never asked it for providing examples. But I asked it to prove some difficult exercises from textbook and it was able to do it. In my experience, all this improves my learning.
Also sometimes for problem solving, I want to know, what are different techniques to solve that problem. And it does very good job.
I've never asked it to do basic additions or calculation, because I have heard from others, it does calculation wrong.
Some times it couldn't answer average question. But for my use case, I find it extremely beneficial.