# Erdős Problem 464

A statement in qed.bot, the register of claims of AI work in mathematics. The register grades the evidence attached to each claim; it never rules on whether a proof is correct.

- Identifier: erdos:464
- Collection: Erdős
- Page: https://qed.bot/s/erdos-464
- Formal record: solved; at its source: proved (Lean)
- Machine-checked: yes, by qed.bot
- Fidelity F2: The statement corpus cites this proof against its own statement.
- Source: https://www.erdosproblems.com/464

## AI claims

### Aristotle, 21 Jun 2026

de Mathan (1980)

- Outcome: full (a supporting task)
- Autonomy A1: Collaborative. A human and a system worked the problem together, or the system played a supporting role.
- Evidence V3: Machine-checked. The artifact was rebuilt at a pinned commit by someone other than its authors — qed.bot, or a registry that publishes the check — and it holds: a proof that elaborates on the standard axioms alone, or an object that meets the problem's own constraints. Checked by qed.bot.
- Fidelity F2: Declared. The authors record how the formal statement corresponds to the claim — a comparator challenge, an alignment table or written divergences — or a statement corpus cites the proof against its own statement.
- Source: Erdős problems AI wiki, https://github.com/teorth/erdosproblems/wiki/AI-contributions-to-Erd%C5%91s-problems

## Checks

- verified, by qed.bot: 4 theorems on the standard axioms only (https://github.com/Jayyhk/erdos-lean/blob/110d489ed5c07e5b216453e092e9113127c98c9a/problems/464/Erdos464.lean)

## Formal statements

- FormalConjectures/ErdosProblems/464.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/464.lean

Cite as: qed.bot, "Erdős Problem 464", https://qed.bot/s/erdos-464, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/