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Proof step 3 from proof pot-div3-nls (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 4:
1 < i, 0 < i, 0 < j, j ^ i / 3 < j, 2 < i, 0 ≤ j, 2 ≤ j, j * j * j ≤ j ^ i ⊦
Proof step 6:
1 < i, 0 < i, 0 < j, j ^ i / 3 < j, 2 < i, 0 ≤ j, 2 ≤ j ⊦ j * j * j ≤ j ^ i

Rule argument

fma: j * j * j ≤ j ^ i

Additional information

Used formulas: j * j * j ≤ j ^ i