Complete proof and Lean formalization of the all-n first question of Erdos #883.
The repository includes unchanged frozen Lean source, the aligned manuscript,
reproduction guide, contribution comparison, and independent rebuild records.
All 6831 local modules and the canonical-statement harness passed with Lean
4.33.1 and pinned dependencies. The final theorem uses only propext,
Classical.choice and Quot.sound. The final object hash matches the original record.
The original proof ZIP is preserved byte for byte. The publication package
adds the independent audit and a note explaining reproduction errata,
including Python >=3.9 and the 8192 MiB cap needed for one module.
Donald Della Pietra's asymptotic result and core architecture are credited.
AI tools were substantially involved. This is a completion and formal proof
of the all-n statement; no worldwide priority, human expert endorsement,
or journal acceptance is claimed. The manuscript's human-review declaration
remains for the author to finalize honestly.