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green_9_iii

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Problem 9 (iii): is $r_4(\mathbf{F}_5^n) \ll N^{1-c}$, where $N=5^n$?

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Lean 4 Statement 
theorem green_9_iii : answer(sorry) ↔
    ∃ c > (0 : ℝ), (fun (n : ℕ) ↦ ((Finset.univ : Finset (Fin n → ZMod 5)).maxAPFreeCard 4 : ℝ))
      ≪ fun (n : ℕ) ↦ ((5 : ℝ) ^ n) ^ (1 - c)
ID: GreensOpenProblems__9__green_9_iii
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