| i * (i + 1) + 2 * i0 = j * (j + 1) + 2 * j0, i0 ≤ i, j0 ≤ j, 0 ≤ i0, 0 ≤ j, 0 ≤ j0 ⊦ i = j ∧ i0 = j0, i * (i + 1) ≤ j * (j + 1) + 2 * j0 ∧ j * (j + 1) + 2 * j0 < (i + 1) * (i + 2) ∧ 0 ≤ i |
0 ≤ j0, 0 ≤ j, 0 ≤ i0, j0 ≤ j, i0 ≤ i ⊦ i * (i + 1) ≤ i * (i + 1) + 2 * i0 ∧ i * (i + 1) + 2 * i0 < (i + 1) * (i + 2) ∧ 0 ≤ i, i = j ∧ i0 = j0