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Proof step 4 from proof two-ex (previous step)

2 * i = j1 ^2 + j2 ^2 → i = ((j1 - j2) / 2)^2 + ((j1 + j2) / 2)^2, 2 * i = j1 ^2 + j2 ^2 ⊦ ∃ i1, i2. i = i1 ^2 + i2 ^2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information