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Proof step 31 from proof Lagrange-SumOf4Squares-primes (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-min inst: name: odd-even-rew seq: ⊦ odd(i) ↔ ¬ even(i) subst: [i] → [j0] flags: rewrite

Additional information

Used terms: j0