| (i0 + j0) * (i0 + j0 + 1) = i1 * 2, (i + j) * (i + j + 1) = i1 * 2 + j0 * 2 - j * 2, j ≤ i1 + j0, 0 ≤ i1 + j0, 0 ≤ i, 0 ≤ j, 0 ≤ i0, 0 ≤ j0, 0 ≤ i1 ⊦ i = i0 ∧ j = j0 |
(i + j) * (i + j + 1) = (i0 + j0) * (i0 + j0 + 1) + j0 * 2 - j * 2, j ≤ i1 + j0, 0 ≤ i1 + j0, 0 ≤ i, 0 ≤ j, 0 ≤ i0, 0 ≤ j0, 0 ≤ i1 ⊦ i = i0 ∧ j = j0