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Proof step 8 from proof mod2-2pot-01 (previous step)

j0 < 2, 0 ≤ i0, 0 ≤ j0, 0 ≤ i ⊦ j0 = 0, ((i0 * 2 + j0) % (2 ^ i * 2)) / 2 = i0 % 2 ^ i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
0 ≤ i0, 0 ≤ i ⊦ ((i0 * 2 + 1) % (2 ^ i * 2)) / 2 = i0 % 2 ^ i

Rule argument

Additional information

Used simplifier rules: numlsf-02: ⊦ (* i) < j → i + 1 ≤ j; (forward) from specification int-abs%lels-02: ⊦ i ≠ j → (i ≤ j ↔ i < j); from specification int-abs%lstwo-01: ⊦ i ≠ 0 ∧ 0 ≤ i → (i < 2 ↔ i = 1); from specification int-abs