Jones's Corollary 3 with a $\pi$-integrable geometric rate constant: $E_\pi[f^2\log^+|f|]<\infty$ implies the CLT

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Jones's Corollary 3 with a $\pi$-integrable geometric rate constant: $E_\pi[f^2\log^+|f|]<\infty$ implies the CLT · Prove2Me