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Proof step 12 from proof eq-nonzero (previous step)

i * j = i * j0 ⊦ i = 0, j = j0, i < 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
i * j = i * j0, 0 < i ⊦ j = j0

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs% ⊦ i < j → ¬ j < i; (s)% ⊦ ¬ i < j → (i = j ↔ ¬ j < i); (ss)