Unverified50% confidenceSolutionExact time
Lean 4's kernel is solely responsible for type checking; all tactics, macros, and automation tools run outside the kernel, generating proof terms that are then independently verified by the kernel.
1
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50%
Confidence
Long-term
Relevance
10/9/2026
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Related Claims
VerifiedThe Lean formal proof assistant operates on the basis of type theory and the Curry–Howard correspondence, and every proof step must be verified by the kernel's type checker72% similarVerifiedLean requires that every step of derivation be written in a strict type-theoretic language, with logical completeness automatically verified by a computational kernel.67% similarVerifiedLean is based on dependent type theory and expresses proofs and programs in a unified manner.66% similarUnverifiedThe correctness of results containing a Lean 4 proof can be independently verified by anyone by running the Lean checker.65% similarUnverified证明助手的每一步推理都必须经过内核（kernel）的严格检查，内核代码量极小（通常只有几千行），从而将信任基础最小化64% similar
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