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Proof step 9 from proof max_exp-fac-gen (previous step)

⊦ prime(i) ∧ 0 < j ∧ 0 ≤ j0 ∧ j0 < i → max_exp(i, fac(i * j + j0)) = j + max_exp(i, fac(j))

Lemma max_exp-fac-rec