Understanding IMO is "developing a correct mental model of a concept".
Some heuristics of correctness:
Feynman: "What I cannot build. I do not understand"
Einstein: "If you can't explain it to a six year old, you don't understand it yourself"
Of course none of this changes anything around the machine generated proofs. The point of the proof is to communicate ideas; formalization and verification is simply a certificate showing that those ideas are worth checking out.
Feynman: "What I cannot build. I do not understand"
Einstein: "If you can't explain it to a six year old, you don't understand it yourself"
Of course none of this changes anything around the machine generated proofs. The point of the proof is to communicate ideas; formalization and verification is simply a certificate showing that those ideas are worth checking out.