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Proof step 9 from proof pot-sub-dist (previous step)

¬ i ^ j0 ≠ 0, 0 ≤ j0, 0 ≤ i0 + j0, 0 ≤ i0 ⊦ i ^ i0 = (i ^ i0 * i ^ j0) / i ^ j0, i = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
i ^ j0 = 0, 0 ≤ i0, 0 ≤ i0 + j0, 0 ≤ j0 ⊦ i = 0, i ^ i0 = 0 / 0

Rule argument

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%zero-left: ⊦ 0 * i = 0; from specification int-mult