--- format: "aidr-story-markdown/v1" id: "4793d66f3e1b5c2e902007143a048e2e28eddf9d04fc8ccf51cde41f9bb9c5fa" canonical_url: "https://aidr.today/4793d66f?lang=en" title: "What mathematicians should know about the Lean Theorem Prover: reliability & AI" lang: "en" requested_lang: "en" available_langs: ["en","vi"] translation_fallback: null fallback_fields: [] published_at: "2026-10-09T17:42:12.000Z" category: "Research" topics: ["reasoning"] source_urls: ["https://terrytao.wordpress.com/2026/10/09/what-mathematicians-should-know-about-the-lean-theorem-proverquestions-of-reliability-and-ai/","https://news.ycombinator.com/item?id=50024090"] summary: "Thomas Hales discusses the reliability of formal proofs and the use of software like the Lean Theorem Prover to exhaustively check mathematical proofs. Formalization projects for Navier-Stokes forced blowup, the sphere packing problem in 8 and 24 dimensions, and Fermat’s Last Theorem were completed this year." --- # What mathematicians should know about the Lean Theorem Prover: reliability & AI > [Open the canonical story]() **Published:** 2026-10-09T17:42:12.000Z **Category:** Research **Topics:** reasoning ## Summary Thomas Hales discusses the reliability of formal proofs and the use of software like the Lean Theorem Prover to exhaustively check mathematical proofs\. Formalization projects for Navier\-Stokes forced blowup, the sphere packing problem in 8 and 24 dimensions, and Fermat’s Last Theorem were completed this year\. ## Sources - [Story source]() - [Discussion]()