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Proof step 14 from proof equality-02 (previous step)

i * j0 = i0 * j, 0 < j, 0 < j0, i < 0 ⊦ i0 < 0, rational(i, j) = rational(i0, j0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
i * j0 = i0 * j, 0 ≤ i0, i < 0, 0 < j0, 0 < j ⊦ rational(i, j) = rational(i0, j0)

Rule argument

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)% ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ ¬ i < j ↔ j ≤ i;