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Proof step 21 from proof modby6-help (previous step)

⊦ (i + 1) * (6 + 3 * i + (2 + i) * 2 * i) = 12 * i + 6 * i * i + 6 + i * (i + 1) * (2 * i + 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ (i + i0) * j = i * j + i0 * j
Proof step 23:
⊦ (i + 1) * (6 + 3 * i + 2 * 2 * i + i * 2 * i) = 12 * i + 6 * i * i + 6 + i * (i + 1) * (2 * i + 1)

Rule argument

spec: int-mult inst: name: dist-lsplit seq: ⊦ (i + i0) * j = i * j + i0 * j subst: [j, i0, i] → [2 * i, i, 2] flags: rewrite

Additional information

Used terms: 2 * i, i, 2