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Proof step 1 from proof modzero-01 (conclusion)

⊦ i < 0 ∧ j0 < j ∧ 0 ≤ j → i * j + j0 < 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i < 0, j0 < j, 0 ≤ j, 0 ≤ i * j + j0, i < j, i < i * j + j0 ⊦

Rule argument

Additional information

Used simplifier rules: forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs