Axiom Math formalizes the 15,000-page Enormous Theorem in Lean using AI agents Other

Axiom Math completed the first computer-verified formalization of the Classification of Finite Simple Groups, verifying the 15,000-page mathematical milestone in 24 days using autonomous AI agents.

Known as the Enormous Theorem, the proof classifies all finite simple groups—the foundational building blocks of mathematical symmetry—originally spanning over 500 published research papers across five decades of human effort.

What it is

• 43.1 million lines of Lean code. Dozens of autonomous AI agents generated 43.1 million lines of Lean 4 code over 24 days, executing machine-checked proof verification from start to finish.
• Identified literature discrepancies. The agent pipeline discovered 34 substantive discrepancies in previously published human proofs across the mathematical corpus.
• Counterexamples and alternative proofs. AI agents generated explicit counterexamples to flawed sub-arguments and derived novel group theory lemmas to repair broken proof paths.
• Collaborative human-machine verification. Axiom conducted the verification alongside leading group theorists, including mathematicians who contributed to the original human classification.
• Open-source release. Axiom open-sourced the complete Lean code, proofs, and agent trace data for independent mathematical audit.

Project metrics

Sources

• Axiom Math Research: The Enormous Theorem Formalized