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Proof step 15 from proof max_exp-not-div (previous step)

max_exp(i, j * j0 / i) = max_exp(i, j0 / i) ∨ i | j, prime(i), 0 < j, i | j0, 0 < j0, ∀ i0, j1, j. i→n(max_exp(i0, j1)) < i→n(max_exp(i, j0 / i) + 1) → prime(i0) ∧ 0 < j1 ∧ 0 < j → max_exp(i0, j * j1) = max_exp(i0, j1) ∨ i0 | j ⊦ max_exp(i, (j * j0) / i) = max_exp(i, j0 / i), i | j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
max_exp(i, j * j0 / i) = max_exp(i, j0 / i), prime(i), 0 < j, i | j0, 0 < j0, ∀ i0, j1, j. i→n(max_exp(i0, j1)) < i→n(max_exp(i, j0 / i) + 1) → prime(i0) ∧ 0 < j1 ∧ 0 < j → max_exp(i0, j * j1) = max_exp(i0, j1) ∨ i0 | j ⊦ max_exp(i, (j * j0) / i) = max_exp(i, j0 / i), i | j

Proof step 15 from proof max_exp-not-div (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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