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Proof step 9 from proof modby6-help (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
⊦ (i + 1) * (2 + i) * (2 * (i + 1) + 1) = 12 * i + 6 * (i * i + 1) + i * (i + 1) * (2 * i + 1)

Rule argument

Additional information

Used simplifier rules: add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult