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Proof step 16 from proof mod-neg (previous step)

i0 * j + j0 = i1 * j + j1 ∧ j1 ≤ 0 ∧ abs(j1) < j ∧ i1 ≤ 0, j1 < j + j0, j1 ≤ 0, 0 < j, i0 ≤ 0, i0 < j, i0 < j + j0, j0 < 0, j0 < j, i0 * j + j0 < 0, i0 * j + j0 < j, 0 < j + j0 ⊦ j0 = j1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
i0 * j + j0 = i1 * j + j1, abs(j1) < j, 0 < j, i0 ≤ 0, i0 < j, i0 < j + j0, j0 < 0, j0 < j, 0 < j + j0, i1 ≤ 0, i1 < j, i1 < j + j0, j1 ≤ 0, j1 < j, j1 < j + j0, i1 * j + j1 < 0, i1 * j + j1 < j, i1 * j + j1 < j + j0 ⊦ j0 = j1

Rule argument

Additional information

Used simplifier rules: forward-le-04: ⊦ j ≤ i ∧ i ≤ 0 → j ≤ 0; (forward) from specification int-abs%forward-lels: ⊦ i ≤ j ∧ j < j0 → i < j0; (forward) from specification int-abs%forward-le-02: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward) from specification int-abs%transitivity: ⊦ i < i0 ∧ i0 < i1 → i < i1; (forward) from specification oelem[intlista]