| i ≠ 0, 0 < (j * i0 / gcd(i0, j0)) / gcd(j, i), 0 < i0, 0 < j0, 0 < i, 0 < j, 0 < gcd(i0, j0), 0 < gcd(j, i) ⊦ i0 = 0, gcd(j, i) = 0, j = 0, (i * j0 / gcd(i0, j0)) / gcd(i, j) * j * i0 = (i0 * i * j0 * j) / (gcd(i0, j0) * gcd(j, i)), j0 = 0, i = 0 |
0 < gcd(j, i), 0 < gcd(i0, j0), 0 < j, 0 < i, 0 < j0, 0 < i0, 0 < (j * i0 / gcd(i0, j0)) / gcd(j, i) ⊦ i = 0, j0 = 0, (i * j0 / gcd(i0, j0)) / gcd(i, j) * j * i0 = (i0 * i * j0 * j) / (gcd(i0, j0) * gcd(j, i)), j = 0, gcd(j, i) = 0, i0 = 0