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Proof step 18 from proof two-even (previous step)

2 * j2 + j0 * 2 = j * 2, 2 * i = 2 * (j2 ^2 + 2 * j0 * j0 + 2 * j0 * j2) ⊦ i = j0 ^2 + j ^2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
2 * j2 + j0 * 2 = j * 2 ⊦ j2 ^2 + 2 * j0 * j0 + 2 * j0 * j2 = j0 ^2 + j ^2

Rule argument

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%eq-pos: ⊦ 0 < i → (i * j = i * j0 ↔ j = j0); from specification int-mult