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Proof step 9 from proof pot-square-est-div6 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ 0 ≤ j ∧ 0 ≤ j0 → i ^ (j * j0) = (i ^ j) ^ j0
Proof step 11:
0 < i, 0 ≤ i, (2 ^ (i / 6)) ^ 2 ≤ (i + 1) * (i + 1), 36 ≤ i, 0 ≤ i / 6, 0 ≤ 2 ⊦

Rule argument

spec: <toplevel> name: pot-pot-02 seq: ⊦ 0 ≤ j ∧ 0 ≤ j0 → i ^ (j * j0) = (i ^ j) ^ j0 subst: [j0, j, i] → [2, i / 6, 2] flags: <all paths>

Additional information

Used simplifier rules: ⊦ 0 < j ∧ 0 ≤ i → 0 ≤ i / j; (s) Used terms: 2, i / 6, 2