AWESOME AI PROOFS
← Problems
Research / Oct 6, 2026

An infinite finitely presented simple amenable group

Can the mathematical statement in An infinite finitely presented simple amenable group be proved and verified machine-checked in Lean?

Model / AI: OpenAI (unreleased)

machine-checked (formal proof)self-reported (formal proof)
Oct 6, 2026

Lean formalization in OpenAI math repository (Result 253)

Model / AI: OpenAI (unreleased)

machine-checked (formal proof)self-reported (formal proof)

OpenAI's internal frontier model proved and formalized in Lean the main result of 'An infinite finitely presented simple amenable group'. We construct an infinite finitely presented simple amenable group, giving a positive answer to the finite-presentation existence question for simple amenable groups.

Source read 2026-10-08. Cataloged from OpenAI's formalization.yaml (Family 253). The Lean development was not rebuilt locally.