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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

Updated

Evidence

../


The folder assets/publication/ retains the files the formalization's standalone project publishes: Challenge.lean, the statement of the result over Mathlib alone with a deliberate sorry in place of the proof; Solution.lean, which supplies the same theorem from the proof development; comparator.json, which names the compared theorem and the permitted axioms; formalization.yaml, the registry draft; and the project's README and lake files with their own Lean and Mathlib pins. They are retained bytes, not pages, and are not built here: a sorry cannot live in the accepted Lean closure, and the proof development itself is ported under lean/Erdos/Library/Problem809/ as the formalization account describes.

The README's "to our knowledge" novelty sentence reflects the project's search and is retained as written; Asad Shahab's independent proof claim, a proof of the seven-cycle case with a Lean development whose headline theorem covers every odd cycle C2k+1C_{2k+1} with k≥3k\ge3, was filed on the site first (proof claim 358, before the project's 367, both on 27 September 2026; preprint arXiv:2609.38286, 29 September 2026), and this corpus built that development at its pinned commit and audited its statement on 2026-10-08, as the problem page records.