| 0 < i0, i / i0 + j / i0 < 0 ⊦ i + j < 0 |
i / i0 + j / i0 < i0, i / i0 + j / i0 < i + j, 0 ≤ i + j, i / i0 + j / i0 < 0, 0 < i0, (i / i0 + j / i0) + 1 < i0 ⊦
Used simplifier rules: succ-01: ⊦ i +1 = i + 1; from specification int-basic2%forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs%trans: ⊦ i < j ∧ j < j0 → i < j0; (forward) from specification int-basic1%lf-01: ⊦ i < j ∧ j < i0 → i +1 < i0; (forward) from specification int-basic1%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs