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Proof step 2 from proof pot2-ls-pred-01 (previous step)

⊦ 2 ^ (i - 1) + 1 < 2 ^ i ↔ 1 < i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 < i → j ^ i = j ^ i -1 * j
Proof step 4:
⊦ 2 ^ (i - 1) + 1 < 2 ^ i ↔ 1 < i, 0 < i
Proof step 10:
0 < i ⊦ 2 ^ (i - 1) + 1 < 2 ^ i -1 * 2 ↔ 1 < i

Rule argument

spec: <toplevel> name: Pot-pos seq: ⊦ 0 < i → j ^ i = j ^ i -1 * j subst: [i, j] → [i, 2] flags: <all paths>

Additional information

Used terms: i, 2