Szepesvari walks back Lean doubts: printed axioms plus sorry-free proofs suffice

CsabaSzepesvari · x · 2026-09-07

In the third post of his thread on Anthropic-related Lean formalization, Csaba Szepesvari refines his earlier objection: formalizing a proof introduces many auxiliary definitions and proofs, and one mistakenly added axiom means you're proving something else — but on reflection he thinks his worry was overblown.

Key arguments: all axioms used in a proof can be printed for inspection; a sorry-free proof is a proof apart from Lean bugs; hand-checking even a FLT-scale formalization is feasible. A candid public walkthrough of reasoning about trust in AI-assisted formal mathematics.

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