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Proof step 3 from proof two-pm (previous step)

⊦ (i * i0)^2 + 2 * (i * i0) * j * j0 + (j * j0)^2 = i ^2 * i0 ^2 + 2 * i * i0 * j * j0 + j ^2 * j0 ^2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ (i * i0)^2 + (j * j0)^2 = i ^2 * i0 ^2 + j ^2 * j0 ^2

Rule argument

Additional information

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