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Proof step 11 from proof pot-div3-nls (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
j ^ i0 < j * j, (j ^ i0 * j) / 3 < j, 0 < j, 1 < i0, 0 < i0, 2 ≤ j, 0 ≤ j, 0 ≤ i0 ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%forward-pos: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward) from specification int-basic1%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2% ⊦ ~1 < i ↔ 0 ≤ i; (s)% ⊦ (* j) < i0 + (* j0) ↔ j - j0 < i0; (s)