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Proof step 2 from proof commutativity (previous step)

∀ i. i * j0 = j0 * i ⊦ i * j0 +1 = j0 +1 * i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ i. i * j0 = j0 * i ⊦ i * j0 = j0 * i

Rule argument

Additional information

Used simplifier rules: succ-rsplit: ⊦ i * (j + 1) = i * j + i;%succ-lsplit: ⊦ (i + 1) * j = i * j + j;%add-in: ⊦ i + j = i + i0 ↔ j = i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%succ-01: ⊦ i +1 = i + 1; from specification int-basic2