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Certify large-source first-light descent through horizon 10000 - #29

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research/gap-endpoint-certificates
Oct 7, 2026
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Chessing234 merged 2 commits into
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research/gap-endpoint-certificates

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Prove a sequential endpoint checker's soundness, then evaluate its full horizon-10000 certificate in the Lean kernel. Every source n≥3,330,950 descends at a first coefficient crossing if that crossing occurs by 10000.

The scalar cutoff is minimal for this scan, not claimed optimal for actual descent. Smaller sources and universal crossing existence remain separate obligations; frontier novelty is unestablished.

Validation: ten theorem footprints; 10000 independently reproduced endpoints; 5272 lower-count controls; two false scan certificates rejected, including the full cutoff reduced by one. Audit included in CI. Synced with merged PRs #26–28.

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Chessing234 merged commit d9795dc into main Oct 7, 2026
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Chessing234 deleted the research/gap-endpoint-certificates branch October 7, 2026 11:12
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