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Proof step 2 from proof mod2-2pot-04 (previous step)

0 < i, 0 ≤ j ⊦ (j * 2 ^ i + 1) % 2 = 1

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:
0 < i, 0 < i, 0 ≤ j ⊦ (j * 2 ^ i -1 * 2 + 1) % 2 = 1

Rule argument

spec: int-pot inst: name: Pot-pos seq: ⊦ 0 < i → j ^ i = j ^ i -1 * j subst: [i, j] → [i, 2] flags: rewrite, current

Additional information

Used terms: i, 2