What was already known
Fermat’s Last Theorem was proved by Wiles, with Taylor, in the 1990s. This entry concerns formalization of known mathematics.
What changed and why it matters
A large formalization effort whose significance is in making a known theorem machine-checkable.
The AI contribution
Claude produced the formal development with human guidance and reused established mathematical and formal-library work.
Limitations
Not a newly discovered proof that resolves a currently open conjecture. AIProofWatch has not built the development or independently checked its statement and axioms.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
Anthropic’s account of the formalization.
Accessible artifact / proof
Formal source and verification walkthrough are public.
Formal checking
Reported Lean and statement-comparator checks; not rerun here.
Checker: Anthropic verification process (reported)
Scope: The supplied Fermat theorem statement and declared axiom dependencies.
Basis: Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Correction and publication history
Editorial importance reassessment: rate the scoped impact if correct independently from verification. The claim, limitations, sources, and verification evidence are unchanged.
Read this published revisionHistorical seed, researched for the initial catalog. Initial alerting disabled.
Read this published revision