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Proof step 1 from proof ls-neg (conclusion)

⊦ i < 0 → (i * j < i * j0 ↔ j0 < j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i < 0 ⊦ i * j < i * j0 ↔ j0 < j

Rule argument

Additional information

Used simplifier rules: forward-le-02: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward) from specification int-abs