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Lean 4.35.0 adds lake check and four extra kernels including proven-consistent con-leche

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GoKawiil Brief

The Lean proof assistant's new v4.35.0 release introduces a lake check command that re-verifies developments using leanchecker inside a sandbox, plus a --paranoid mode that runs four additional kernels: nanoda, lean4lean, con-leche, and con-ron. Con-leche, built in Lean itself by Claude models under supervision from Joachim Breitner at the Lean FRO, is formally proven consistent against a set-theoretic model and reportedly runs faster than the official kernel on the full Mathlib library.

Why It Matters

GoKawiil's interpretation of the reporting above, not reported fact.

The move follows recent postmortems describing AI agents discovering vulnerabilities in Lean's kernel, suggesting the team is responding to those findings by diversifying and hardening verification paths rather than relying on a single trusted implementation. A kernel proven consistent in Lean, built with AI assistance, could reduce the risk of implementation bugs undermining proof trust, though the developers note remaining risk from the compiler and runtime layers beneath it.

Key Takeaways

Source: leodemoura.github.io — Leonardo De Moura, 2026-10-16

Published there as: “Lean now ships with verified kernels”

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