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Proof step 5 from proof pot-square-est-div6 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
0 ≤ i, 0 ≤ j, 0 ≤ j0 ⊦ (i ^ j) ^ j0 = i ^ (j * j0)
Proof step 7:
0 < i, 0 ≤ i, 2 ^ (2 * i / 6) ≤ (i + 1) * (i + 1), 36 ≤ i, 0 ≤ 2, 0 ≤ i / 6 ⊦

Rule argument

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

Additional information

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