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Proof step 13 from proof ls-def (previous step)

i1 < 0, i * j0 = i1 + i0 * j, 0 < j, 0 < j0 ⊦ ¬ i0 * j ≤ i * j0, j0 = 0, j = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
i * j0 = i1 + i0 * j, i0 * j ≤ i * j0, 0 < j, 0 < j0, i1 < 0 ⊦ j0 = 0, j = 0

Rule argument

Additional information

Used simplifier rules: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i * j = j * i;