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Proof step 25 from proof add-asso (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ (i + i0) * j = i * j + i0 * j subst: [j, i0, i] → [j, j0 * i1, i0 * j1] rotate: F spec: int-mult inst: name: dist-lsplit

Additional information

Used simplifier rules: ⊦ i * j * j0 = (i * j) * j0;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ i * j = j * i; Used terms: j, j0 * i1, i0 * j1