Elliot Glazer on when a Lean proof actually proves the math we care about
ctjlewis · x · 2026-10-10
Elliot Glazer addresses the question circling the Lean×LLM community: under what conditions can we conclude from a Lean proof that the statement we actually care about — say, Navier-Stokes — is true?
His point hinges on formalization fidelity: a Lean proof only certifies the formal statement as written, so it counts as proof of the real theorem only if the formalization faithfully captures the informal mathematical intent. Suhas's quoted comment notes this exact issue is why she avoided Lean-LLM work years ago — and why it's now back at center stage as LLM auto-formalization matures.
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