| ∀ i1, i2, j, j0. i→n(i1) + i→n(i2) < i→n(i) + i→n(i0) → true → (mkDecimal(i1, j) = mkDecimal(i2, j0) ↔ i1 * 10 ^ abs(j0) = i2 * 10 ^ abs(j)) ⊦ i0 % 10 = 0, i = i0 ∧ abs(j) = abs(j0) ↔ i * 10 ^ abs(j0) = i0 * 10 ^ abs(j), i = 0, i0 = 0, i0 % 10 = 0 ∧ j0 ≠ 0, i % 10 = 0 ∧ j ≠ 0, j ≠ 0 ∧ i % 10 = 0, i0 % 10 = 0 ∧ j ≠ 0 |
∀ i1, i2, j, j0. i→n(i1) + i→n(i2) < i→n(i) + i→n(i0) → true → (mkDecimal(i1, j) = mkDecimal(i2, j0) ↔ i1 * 10 ^ abs(j0) = i2 * 10 ^ abs(j)) ⊦ i0 % 10 = 0, i = i0 ∧ abs(j) = abs(j0) ↔ i * 10 ^ abs(j0) = i0 * 10 ^ abs(j), i = 0, i0 = 0, i % 10 = 0 ∧ j ≠ 0, j ≠ 0 ∧ i % 10 = 0