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Proof step 7 from proof pot-div3-nls (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ 0 < i → j ^ i = j ^ i -1 * j
Proof step 9:
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 ⊦

Rule argument

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

Additional information

Used terms: i, j