Claude-Assisted Lean 4 Project Refutes Erdős–Simonovits Conjecture

ctjlewis · x · 2026-08-02

A developer shared a Lean 4 formalization project that successfully proves the Erdős–Simonovits degeneracy conjecture fails at every level (Erdős problem #146).

According to the repository, the proof covers every r ≥ 2 with a sharp asymptotic law at Gibbs weight e. The author noted that the formalization was assisted by Claude Fable 5 and Claude Opus 5 (dated 2026-08-01), and they are currently seeking community review and help for the code.

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