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Proof step 25 from proof middle-coef-max_exp (
previous step
)
⊦ prime(i) ∧ 0 < j ∧ 0 ≤ i0 ∧ j < i ^ i0 → max_exp(i, fac(j)) = Σ countFun(1, i0 - 1, λ j0. j / i ^ j0)
Lemma
max_exp-fac-gen-stronger