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Proof step 98 from proof Lagrange-SumOf4Squares-primes (previous step)

i2 ^2 + i1 ^2 + i0 ^2 + i ^2 = j0 * j, 1 < j, 0 < j, 0 < j0, prime(j), j0 < j, abs(i3) ≤ j0 / 2, ≡mod(i3, i2, j0), abs(i4) ≤ j0 / 2, ≡mod(i4, i1, j0), abs(i5) ≤ j0 / 2, ≡mod(i5, i0, j0), abs(i6) ≤ j0 / 2, ≡mod(i6, i, j0), 0 < i3 ^2 + i4 ^2 + i5 ^2 + i6 ^2, ∀ i3, i4, i5, i6, j1. 0 < j1 ∧ j1 < j0 → i3 ^2 + i4 ^2 + i5 ^2 + i6 ^2 ≠ j1 * j ⊦ ≡mod(i3 ^2 + i4 ^2 + i5 ^2 + i6 ^2, 0, j0) ∧ i3 ^2 + i4 ^2 + i5 ^2 + i6 ^2 < j0 ^2, j = 2, j0 = 1, even(j0)

User applied rule weakening

And obtained the following new goals

Rule argument

poslist: left 16

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