Lean is backed by Mathlib, the largest coherent body of formalized mathematics ever created: over 200,000 formalized theorems and 750 contributors. Five Fields medalists engage with Lean. The same platform serves mathematicians formalizing theorems and engineers verifying production systems. ACM SIGPLAN recognized this convergence with its 2025 Programming Languages Software Award: “Lean has become the de facto choice for AI-based systems of mathematical reasoning.”
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A small, trusted kernel: a few thousand lines of code that check every step of every proof mechanically. Everything else (the AI, the automation, the human guidance) is outside the trust boundary. Independent reimplementations of that kernel, in different languages (Lean, Rust), serve as cross-checks. You do not need to trust a complex AI or solver; you verify the proof independently with a kernel small enough to audit completely. The verification layer must be separate from the AI that generates the code. In a world where AI writes critical software, the verifier is the last line of defense. If the same vendor provides both the AI and the verification, there is a conflict of interest. Independent verification is not a philosophical preference. It is a security architecture requirement. The platform must be open source and controlled by no single vendor.，这一点在下载安装汽水音乐中也有详细论述