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But what does it matter whether we can "trust its verification of the 13 million lines of code"? We already knew that Fermat's Last Theorem is true, we don't need Lean to tell us that. The value of a formalization would be to improve our understanding of why it's true, and that can't be achieved by 13 million lines of code no human being has read.

The source article does acknowledge this isn't a replacement for human analysis, but they seem to imagine a vision of mathematical research where there's a bunch of AIs running around proving random things and formalizing them into opaque Lean proofs nobody ever has to read. I'm skeptical whether there's any value in doing that, and to the extent that there is I'm pretty confident it looks more like proving certain directions aren't fruitful for further investigation.

 help



That's a completely different matter than what this thread was about. This thread was about whether mistakes in the 13M lines of Lean code could mean that this proof could be wrong despite Lean saying it's right.



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