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Proof step 7 from proof modeq-neg (previous step)

j * (i1 + i0) + j1 = i2 * j + j0 ∧ j0 ≤ 0 ∧ abs(j0) < j, 0 < j, abs(j1) < j, i1 * j + j1 < 0, j1 ≤ 0, j1 < j, j * (i1 + i0) + j1 < 0 ⊦ j0 = j1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
j * (i1 + i0) + j1 = i2 * j + j0, abs(j0) < j, 0 < j, abs(j1) < j, i1 * j + j1 < 0, j1 ≤ 0, j1 < j, j0 ≤ 0, j0 < j, i2 * j + j0 < 0 ⊦ 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