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Proof step 4 from proof factor-rat-02 (previous step)

¬(0 < j ∧ 0 < i1), 0 < j ⊦ rational(i1 * i, i1 * j) = rational(i, j), i1 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
0 < j, i1 < 0 ⊦ rational(i1 * i, i1 * j) = rational(i, j), i1 = 0

Rule argument

Additional information

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