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A claimed 100-page proof of the Hopf problem formalized into 250,000 lines of Lean code in just days

This story is from 2026-08-27. It is preserved in the archive; the latest stories are on the live feed.

We're living in insane times. Levent Alpöge dropped a claimed 100-page proof of the 78-year-old Hopf problem, written with Claude, and a couple of days later, Boris Alexeev from OpenAI dropped 250k lines of Lean formalization done with Codex that seems to check out. Probably no single human fully u…

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  1. 2026-08-27 16:45 · r/singularity
    A claimed 100-page proof of the Hopf problem formalized into 250,000 lines of Lean code in just days

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