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