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Proof step 18 from proof add-asso (previous step)

j * j0 ≠ 0 ∧ j1 ≠ 0, 0 < j, 0 < j0, 0 < j1 ⊦ j0 = 0, j1 = 0, rational((i * j0 + j * i0) * j1 + (j * j0) * i1, (j * j0) * j1) = rational(i, j) + rational(i0 * j1 + j0 * i1, j0 * j1), j = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

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