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Proof step 4 from proof pot-square-est-div6 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
0 ≤ i, 0 ≤ j, 0 ≤ j0 ⊦ (i ^ j) ^ j0 = i ^ (j * j0)
Proof step 6:
0 ≤ 2 ∧ 0 ≤ 2 ∧ 0 ≤ i / 6, 2 ^ (2 * i / 6) ≤ (i + 1) * (i + 1), 36 ≤ i, 0 ≤ i, 0 < i ⊦

Rule argument

spec: inst: 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: rewrite, current

Additional information

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