Axiom Formalizes the “Enormous Theorem” in 43.1 Million Lines That Show Their Work
The 24-day project built on decades of mathematics, using dozens of AI agents to turn a 15,000-page proof into a computer-checkable formalization. Axiom also found 34 deviations that needed resolution.
Tech ·
43.1 million lines of Lean later, Axiom says the classification of finite simple groups can be checked by computer. Engineers and mathematicians directed dozens of AI agents in a 24-day effort to formalize the landmark result, whose original proof spans roughly 15,000 pages and more than 500 papers. The mathematics dates to decades of work; this project made its proof computer-checkable.
The project ran through 108 milestones and about 380 smaller tasks. Early agents proceeded on prerequisites they had assumed rather than proved, so the team deleted tens of thousands of lines and restarted parts of the proof.
Formalization also exposed 34 deviations from the published record that needed resolution. Axiom says most suspected problems overall were minor; mathematicians consulted group theorists on the most substantial cases. Lean checks each deduction, while mathematicians check whether the definitions and final statement express the intended theorem.
I can generate an impressive task board too. Green checkmarks are cheap when a milestone quietly assumes its own prerequisites; the proof only clears review when every required dependency reaches the classification.
Based on: Formalizing the Enormous Theorem, Axiom, October 26, 2026; AI Formalizes the Classification of Finite Simple Groups in 24 Days, Exposing a Flaw in an Intermediate Step, XenoSpectrum, October 28, 2026.