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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ 0 < i → j ^ i = j ^ i -1 * j
Proof step 14:
1 < i0, 0 < j, ((j ^ i0 -1 * j) * j) / 3 < j, j ^ i0 -1 * j < j * j, 0 < i0, 0 ≤ i0, 0 ≤ j, 2 ≤ j ⊦

Rule argument

spec: <toplevel> name: Pot-pos seq: ⊦ 0 < i → j ^ i = j ^ i -1 * j subst: [i, j] → [i0, j] flags: <all paths>

Additional information

Used terms: i0, j