j0 < 2, 0 ≤ i0, 0 ≤ j0, 0 ≤ i, i0 ≤ 2 ^ i ⊦ i0 * 2 + j0 ≤ 2 ^ (i + 1) + 1
j0 < 2, 0 ≤ i0, 0 ≤ j0, 0 ≤ i, i0 * 2 + j0 ≤ 2 ^ (i + 1) + 1 ⊦ i0 ≤ 2 ^ i