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Proof step 1 from proof factor-rat-02 (conclusion)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
0 < j ⊦ rational(i1 * i, i1 * j) = rational(i, j), i1 = 0

Rule argument

Additional information

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