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Erdős·erdos:56

Erdős Problem 56

problem formal record: solved source: disproved (Lean)$10 F2 declared

Checked, not verified. 1 independent check recorded, with verdict nonstandard axioms. The checks are set out below.

Fidelity F2: The statement corpus cites this proof against its own statement.

number theory, intersecting family·Source

AI activity

How grades work
Aristotle, GPT

2025-11-25·supporting task

Ahlswede and Khachatrian (1995)

full A1 collaborative V1 write-up F2 declared
Reasoning and sources

Autonomy

Secondary contribution: formalization

Details

proof to formalize: Ahlswede and Khachatrian (1995)

Does the formal statement say what was claimed?

F2 declared The statement corpus cites this proof against its own statement.

Computed from what the project declares and what the register holds, never from reading the mathematics. How fidelity is graded.

Checks

1
  • nonstandard axioms qed.bot

    Lean.ofReduceBool, Lean.trustCompiler

    proof rebuilt and axioms inspected·2026-08-21

    Axioms beyond the standard three: Lean.ofReduceBool, Lean.trustCompiler

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All discussion

Discussion and bounties for this problem load here.

Formal material

Formal statements · 1
Cited proofs · 1
Also known as · 3
  • https://www.erdosproblems.com/56
  • https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/56.lean
  • FormalConjectures/ErdosProblems/56.lean