| ¬ i | j0 ∧ prime(i) ∧ 0 < j0, 0 < j, 0 < j0, prime(i), ∀ i0, j1, j. i→n(max_exp(i0, j1)) < i→n(0) → prime(i0) ∧ 0 < j1 ∧ 0 < j → max_exp(i0, j * j1) = max_exp(i0, j1) ∨ i0 | j ⊦ i | j0, max_exp(i, j * j0) = 0, i | j |
prime(i), 0 < j0, 0 < j, ∀ i0, j1, j. i→n(max_exp(i0, j1)) < i→n(0) → prime(i0) ∧ 0 < j1 ∧ 0 < j → max_exp(i0, j * j1) = max_exp(i0, j1) ∨ i0 | j ⊦ max_exp(i, j * j0) = 0, i | j0, i | j