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Proof step 5 from proof pot-div3-nls (previous step)

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

Heuristic simplifier applied rule simplifier

And closed the goal!

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% ⊦ 2 ≤ j → ¬ (j * j * j) / 3 < j; (s)%forward-lels: ⊦ i ≤ j ∧ j < j0 → i < j0; (forward) from specification int-abs