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Proof step 12 from proof pot-div3-nls (previous step)

0 < i0, j ^ i0 -1 * j < j * j, ((j ^ i0 -1 * j) * j) / 3 < j, 2 ≤ j, 0 ≤ j, 0 < j, 1 < i0, 0 < i0, 0 ≤ i0 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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%ls-pos: ⊦ 0 < i → (i * j < i * j0 ↔ j < j0); from specification int-mult%sub-pred: ⊦ i -1 = i - 1; from specification int-abs