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Proof step 28 from proof add-eq (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ i + j = i + i0 ↔ j = i0 subst: [i0, j, i] → [j0 * j * i1, j1 * j * i0, j0 * i * j1] rotate: F spec: int-basic2 inst: name: add-in

Additional information

Used simplifier rules: ⊦ i * j = j * i;% ⊦ i ≠ 0 → (i * j = i * j0 ↔ j = j0);% ⊦ i * j * j0 = (i * j) * j0; Used terms: j0 * j * i1, j1 * j * i0, j0 * i * j1