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Proof step 143 from proof euler-four-square-identity2 (previous step)

⊦ 2 * (i1 * j1) * i4 * j4 + 2 * (i2 * j2) * i3 * j3 + 2 * i1 * j3 * i2 * j4 + 2 * i3 * j1 * i4 * j2 = (2 * (i3 * j2) * i2 * j3 + 2 * (i3 * j2) * i4 * j1) + 2 * (i1 * j4) * i2 * j3 + 2 * (i1 * j4) * i4 * j1

User applied rule simplifier

And closed the goal!

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%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult