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Proof step 2 from proof middle-coef-max_exp-le (
previous step
)
i ^ i0 ≤ 2 * j, 2 * j < i ^ (i0 + 1), 0 ≤ i0, prime(i), 0 < j ⊦ max_exp(i, binom_coef(2 * j, j)) = Σ countFun(1, i0, λ i0. (2 * j) / i ^ i0 - 2 * j / i ^ i0)
Lemma
middle-coef-max_exp-equality