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Proof step 8 from proof Lagrange-SumOf4Squares (
previous step
)
∀ j. j ∈ ints → (∃ i, i0, i1, i2. j = i ^2 + i0 ^2 + i1 ^2 + i2 ^2) ⊦ ∃ i, i0, i1, i2. Π ints = i ^2 + i0 ^2 + i1 ^2 + i2 ^2
Lemma
lagrange-primedivisors