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Proof step 5 from proof lagrange-primedivisors (previous step)

(j ∈ ints0 → (∃ i, i0, i1, i2. j = i ^2 + i0 ^2 + i1 ^2 + i2 ^2)) → Π ints0 = i0 ^2 + i1 ^2 + i2 ^2 + i3 ^2, ∀ j0. j0 = i ∨ j0 ∈ ints0 → (∃ i, i0, i1, i2. j0 = i ^2 + i0 ^2 + i1 ^2 + i2 ^2) ⊦ ∃ i4, i5, i6, i7. i * Π ints0 = i4 ^2 + i5 ^2 + i6 ^2 + i7 ^2

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: left 1

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