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Proof step 2 from proof ls-mult-2pot (previous step)

0 < j, 0 ≤ i, 0 ≤ i0 ⊦ j * 2 ^ i < 2 ^ i0 ↔ j < 2 ^ (i0 - i)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
i0 = i1 + i, 0 < j, 0 ≤ i, 0 ≤ i0 ⊦ j * 2 ^ i < 2 ^ i0 ↔ j < 2 ^ i1

Rule argument

spec: int-abs inst: name: elim-sub seq: ⊦ i0 = i - j ↔ i = i0 + j subst: [i, j, i0] → [i0, i, i1] flags:

Additional information

Used simplifier rules: ⊦ i0 = i - j ↔ i = i0 + j; (elim) Used terms: i0, i, i1