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Proof step 12 from proof add-eq2pot (previous step)

2 ^ i1 * 2 ^ i0 = 2 ^ i0 + j, 2 ^ i1 = i2 + 1, 0 ≤ i1 + i0, 0 ≤ j, 0 ≤ i1, 0 ≤ i0 ⊦ j = 2 ^ i0 * i2 ∧ 0 ≤ i1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
(i2 + 1) * 2 ^ i0 = 2 ^ i0 + j, 2 ^ i1 = i2 + 1, 0 ≤ i0, 0 ≤ j, 0 ≤ i1 + i0, 0 ≤ i1 ⊦ j = 2 ^ i0 * i2

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs