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Proof step 8 from proof pot-square-est-div6 (previous step)

0 ≤ 2 ∧ 0 ≤ 2 ∧ 0 ≤ i / 6, 2 ^ (i / 6 * 2) ≤ (i + 1) * (i + 1), 36 ≤ i, 0 ≤ i, 0 < i ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ 0 ≤ j ∧ 0 ≤ j0 → i ^ (j * j0) = (i ^ j) ^ j0
Proof step 10:
0 ≤ i / 6 ∧ 0 ≤ 2, 0 ≤ 2 ∧ 0 ≤ 2 ∧ 0 ≤ i / 6, (2 ^ (i / 6)) ^ 2 ≤ (i + 1) * (i + 1), 36 ≤ i, 0 ≤ i, 0 < i ⊦

Rule argument

spec: inst: name: pot-pot-02 seq: ⊦ 0 ≤ j ∧ 0 ≤ j0 → i ^ (j * j0) = (i ^ j) ^ j0 subst: [j0, j, i] → [2, i / 6, 2] flags: rewrite, current

Additional information

Used simplifier rules: zero-03: ⊦ 0 < i ∧ 0 < j → 0 ≤ i / j; from specification int-div Used terms: 2, i / 6, 2