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Proof step 10 from proof pot-square-est-div6 (previous step)

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 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ i * i = i ^ 2
Proof step 12:
0 ≤ i / 6 ∧ 0 ≤ 2, 0 ≤ 2 ∧ 0 ≤ 2 ∧ 0 ≤ i / 6, (2 ^ (i / 6)) ^ 2 ≤ (i + 1) ^ 2, 36 ≤ i, 0 ≤ i, 0 < i ⊦

Rule argument

spec: inst: name: pot-square-03 seq: ⊦ i * i = i ^ 2 subst: [i] → [i + 1] flags: rewrite, current

Additional information

Used terms: i + 1