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Proof step 13 from proof mod-two-ge-01 (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
i = i0 + j, j < i, 0 < i, 0 ≤ j ⊦ 2 ^ i = 2 ^ j * 2 ^ i0, 2 ^ i = 2 ^ j * ((2 ^ i - 1) / 2 ^ j + 1)

Rule argument

spec: int-abs name: elim-sub seq: ⊦ i0 = i - j ↔ i = i0 + j subst: [i, j, i0] → [i, j, i0]

Additional information

Used simplifier rules: ⊦ i0 = i - j ↔ i = i0 + j; (elim) Used terms: i, j, i0