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Proof step 11 from proof Lagrange-SumOf4Squares-primes (
previous step
)
j = i ^2 + i0 ^2 + i1 ^2 + i2 ^2, even(j) ⊦ ∃ i3, i4, i5, i6. even(i3 + i4) ∧ even(i5 + i6) ∧ i3 ^2 + i4 ^2 + i5 ^2 + i6 ^2 = j
Lemma
even-sum