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Proof step 7 from proof zero-gr (previous step)

0 < i, 0 < j ⊦ 0 < i * j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
0 < j, 0 < i, i * j < j, i * j < i, i * j ≤ 0 ⊦

Rule argument

Additional information

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