| (2 * i) ^ j < ((j + 1) ^ 2) ^ j, 2 * i < (j + 1) ^ 2, 2 * i = j * j + j0 ∧ j0 ≤ 2 * j ∧ 0 ≤ j ∧ 0 ≤ j0 ∧ j = sqrt(2 * i), 4 ^ (i / 3) ≤ (2 * i) ^ sqrt(2 * i), 1024 ≤ i, 0 ≤ i, 0 < i ⊦ j * j ≤ 2 * i |
2 * i = sqrt(2 * i) * sqrt(2 * i) + j0, (2 * i) ^ sqrt(2 * i) < ((sqrt(2 * i) + 1) ^ 2) ^ sqrt(2 * i), 2 * i < (sqrt(2 * i) + 1) ^ 2, j0 ≤ 2 * sqrt(2 * i), 0 ≤ sqrt(2 * i), 0 ≤ j0, 4 ^ (i / 3) ≤ (2 * i) ^ sqrt(2 * i), 1024 ≤ i, 0 ≤ i, 0 < i ⊦ sqrt(2 * i) * sqrt(2 * i) ≤ 2 * i