Erdős·erdos:1082

Erdős Problem 1082

conjecture formal record: mixed source: falsifiableno F2 declared

No independent check recorded yet. A formal artifact, declaration or published object is attached, but no rebuild of it is recorded here.

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

geometry, distances·Source

AI activity

DeepMind prover agent

2026-02-14

Counterexample to one part (Lean)

partial A3 autonomous V2 artifact F2 declared

Reasoning and sources

AI standalone, with comparable literature existing

literature: 🟡 Fishburn (2002)

literature found on: 25 Feb, 2026

similar?: Yes

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.

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Formal statements · 1

FormalConjectures/ErdosProblems/1082.lean
2 declarations, 3 unproved goals·research open, research solved

Cited proofs · 1

Also known as · 3

https://www.erdosproblems.com/1082
https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/1082.lean
FormalConjectures/ErdosProblems/1082.lean