Fermat's Last Theorem in Lean 4

Discussion (8 Comments)Read Original on HackerNews

black_knight•about 1 hour ago

I wonder if any piece of the lean code is in a shape which means it could be contributed to one of the existing Lean libraries.

My experience is that it takes a lot of human input to make Fable write code nice enough for a formalisation library others can work on. But since this is certainly a lot of prerequisites formalised as well, it would be nice if not all of the effort was wasted on one capstone proof! (Repost of a earlier comment, but I feel it fits better here)

Jhsto•31 minutes ago

My anecdotal experience is that while LLMs are quite good at closing theorems given an LSP to inspect the proof-tree, they suffer from similar kind of problems with proofs as they do with bigger codebases in any language -- finding reusable parts that can be built into libraries (that's lemmas in Lean 4 sense). However, Buzzard has many times said that he wouldn't care how big the proof is and how ugly it would be, as long as there would be a proof.

black_knight•11 minutes ago

Kevin might not care, but I care more about building the foundation for future proofs and human understanding than I do about this particular result.

refulgentis•1 minute ago

It sounds like you're familiar with Lean, did you get a chance to peek at any of the code? Is any in good enough shape to be in a Lean library?

abhv•about 1 hour ago

This is a very impressive result. Bravo to that team.

rawling•about 2 hours ago

Front-page discussion: https://news.ycombinator.com/item?id=49568506

ks2048•about 2 hours ago

Now we have what Fermat tried to write in the margin: aa2d8b34692b16c70f699536de0d8e75b9a3e9ef

DoctorOetker•about 3 hours ago

Mine is much shorter though...

Fermat's Last Theorem in Lean 4

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Discussion (8 Comments)Read Original on HackerNews