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erdos_61.variants.erha89

Specification

Erdős and Hajnal [ErHa89] proved that we can take $f(n) = \exp(c_H \sqrt{\log n})$ for some constant $c_H > 0$ dependending on $H$. [ErHa89] Erdős, P. and Hajnal, A., Ramsey-type theorems. Discrete Appl. Math. (1989), 37-52.

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Lean 4 Statement
theorem erdos_61.variants.erha89 :
    ∀ {α : Type*} [Fintype α] [DecidableEq α] (H : SimpleGraph α),
      ∃ c > (0 : ℝ), IsErdosHajnalLowerBound H (fun n : ℕ => exp (c * sqrt (log n)))
ID: ErdosProblems__61__erdos_61.variants.erha89
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