Anthropic’s latest Claude-assisted math sprint made a very un–AI thing look almost routine: turning Andrew Wiles’ proof of Fermat’s Last Theorem into computer-verifiable Lean code. Claude helped formalize the argument as a single Lean file weighing in at about 13 million lines, completed in 11 days. In practical terms, it replaces “trust me” with a proof that other machines can check line by line, cutting down the human error risk that comes with reading long, intricate reasoning and making the result far easier to share and audit.
The throughline isn’t just that an AI system can write correct-looking text; it’s that Claude can navigate a proof assistant’s rules closely enough to land in the narrow space where every step must type-check. Lean acts as the gatekeeper, so the model’s output has to be structurally compatible with formal logic, not merely persuasive. For executives watching the business side of AI, this is a glimpse of a maturing workflow: models producing formal artifacts that reduce verification costs and convert specialized expertise into assets that scale beyond individual teams.