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Proof step 1 from proof commutativity (conclusion)

⊦ i * j = j * i

User applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ i. i * j0 = j0 * i ⊦ i * j0 +1 = j0 +1 * i
Proof step 4:
∀ i. i * j0 = j0 * i ⊦ i * j0 -1 = j0 -1 * i

Rule argument

indvar: j

Additional information

Used simplifier rules: Mult-zero: ⊦ i * 0 = 0;%zero-left: ⊦ 0 * i = 0;%int generated by 0, +1, -1;;