Definition
Lean formalization is the practice of encoding mathematical arguments in the Lean theorem prover so that a machine can check proof correctness. In 2026 AI-for-math workflows, models often generate informal arguments that are later formalized into Lean certificates.
Key Points
- 2026-10-09: Navier–Stokes case shows Lean can verify a different (weaker) statement than the NL paper — see ai-autoformalization (2026-10-09-navier-stokes-lean-mismatch-arxiv)
- 2026-08-01: openai-astra ten advances ship with Lean 4 certificates in ten-proofs (2026-08-01-openai-ten-proofs-github)
- Complements human manuscript preparation and model reasoning narrations
- Aligns with Leiden declaration attribution norms for AI-generated math
Related
- ai-autoformalization
- automated-theorem-proving
- ai-for-mathematics
- openai-astra
- ten-proofs
- ai-for-science