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Proof step 3 from proof mult-gt-both (previous step)

i < i1, j < j1, i1 * j1 ≤ i * j, 0 ≤ i, 0 ≤ j, 0 ≤ i1, 0 ≤ j1, 0 < i1, 0 < j1 ⊦ i * j < i1 * j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
i < i1, j < j1, i1 * j1 ≤ i * j, 0 ≤ i, 0 ≤ j, 0 ≤ i1, 0 ≤ j1, 0 < i1, 0 < j1, i1 * j ≤ i * j ⊦

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs