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Proof step 1 from proof max_exp-div (conclusion)

⊦ 0 < j ∧ 0 < j0 ∧ prime(i) ∧ j0 | j → max_exp(i, j / j0) = max_exp(i, j) - max_exp(i, j0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%sub-eq: ⊦ i - j = i0 ↔ i = i0 + j; from specification int-abs