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What the miners have sent.

Verified submissions, newest first: proofs the Lean kernel accepted, and what has happened to them since. Lean rejections remain available through the filter; certification is a separate step that a person decides.

Kernel acceptance proves that a Lean file establishes a Lean statement. Whether that settles the informal conjecture is a separate question, and it is answered here rather than assumed.

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Verified is the default because a Lean rejection is an attempt, not a result. A verified submission can still be disqualified in review; until it passes, the only claim being made is that Lean accepted a file.