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Proof step 19 from proof equality-02 (previous step)

i = 0, i * j0 = i0 * j, 0 < j, 0 < j0, 0 ≤ i ⊦ rational(i, j) = rational(i0, j0), 0 ≠ i ∧ ¬ i0 ≤ 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
0 < j0, 0 < j ⊦ rational(0, j) = rational(0, j0)

Rule argument

Additional information

Used simplifier rules: ⊦ 0 < i → (i * j = 0 ↔ j = 0);% ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * 0 = 0;