| ¬(i0 % 10 = 0 ∧ j ≠ 0 ∧ i0 ≠ 0), mkDecimal(i / 10, abs(j) - 1).scale = mkDecimal(i0, j).scale, mkDecimal(i / 10, abs(j) - 1).int = i0, i % 10 = 0, ∀ i1, i2, j. i→n(i1) + i→n(i2) < i→n(i) + i→n(i0) → mkDecimal(i1, j).scale = mkDecimal(i2, j).scale ∧ mkDecimal(i1, j).int = mkDecimal(i2, j).int → i1 = i2 ⊦ j = 0, i0 % 10 = 0 |
mkDecimal(i / 10, abs(j) - 1).scale = mkDecimal(mkDecimal(i / 10, abs(j) - 1).int, j).scale, i % 10 = 0, ∀ i1, i2, j0. i→n(i1) + i→n(i2) < i→n(i) + i→n(mkDecimal(i / 10, abs(j) - 1).int) → mkDecimal(i1, j0).scale = mkDecimal(i2, j0).scale ∧ mkDecimal(i1, j0).int = mkDecimal(i2, j0).int → i1 = i2 ⊦ j = 0, mkDecimal(i / 10, abs(j) - 1).int % 10 = 0