Erdős Problem 61
The Erdős–Hajnal Conjecture states that there is a constant for each such that we can take in the above formulation.
Mathematical statement
The Erdős–Hajnal Conjecture states that there is a constant for each such that we can take in the above formulation.
Statement source: Erdős Problems statement material
Statement terms: Source-specific
Source-specific terms. Therefore does not assert reuse rights beyond attributed display.
Statement artifacts, not proofs
These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.
Pinned Lean formulation 1
erdos_61
theorem erdos_61 : answer(sorry) ↔ ∀ {α : Type*} [Fintype α] [DecidableEq α] (H : SimpleGraph α), ∃ c > (0 : ℝ), IsErdosHajnalLowerBound H (fun n : ℕ => (n : ℝ) ^ c) := by sorry- Statement source
- Formal Conjectures
- Lean version
- v4.27.0
- Placeholder
- Present; no proof artifact
- Source evidence
- Pinned source index
- Fidelity review
- Community formulation
References