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Proof step 1 from proof eq-succ-01 (conclusion)

⊦ (i + i0) * j + j0 = (i + i1) * j + j1 ↔ i0 * j + j0 = i1 * j + j1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ (i + i0) * j = i * j + i0 * j
Proof step 3:
⊦ (i * j + i0 * j) + j0 = (i + i1) * j + j1 ↔ i0 * j + j0 = i1 * j + j1

Rule argument

spec: int-mult inst: name: dist-lsplit seq: ⊦ (i + i0) * j = i * j + i0 * j subst: [j, i0, i] → [j, i0, i] flags: rewrite, current

Additional information

Used terms: j, i0, i