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Proof step 9 from proof pot-div3-nls (previous step)

j ^ i -1 * j < j * j * j, 1 < i, 0 < j, (j ^ i -1 * j) / 3 < j, 2 < i, 0 < i, 0 ≤ j, 2 ≤ j ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
0 < i, 2 < i, (j ^ (i - 1) * j) / 3 < j, 0 < j, 1 < i, j ^ (i - 1) < j * j, 2 ≤ j, 0 ≤ j ⊦

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% ⊦ 0 < i → (i * j < i * j0 ↔ j < j0); (s)% ⊦ i -1 = i - 1; (s)