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Proof step 13 from proof Lagrange-SumOf4Squares (previous step)

Π all_prime_divisors(j) = j, 2 ≤ j, j0 | j, prime(j0), 0 < j ⊦ j0 = 2, j = 0, ∃ i, i0, i1, i2. j = i ^2 + i0 ^2 + i1 ^2 + i2 ^2, ∃ i, i0, i1, i2. j0 = i ^2 + i0 ^2 + i1 ^2 + i2 ^2

User applied rule insert lemma

And obtained the following new goals

Proof step 14:
prime(j), j ≠ 2 ⊦ ∃ i, i0, i1, i2. j = i ^2 + i0 ^2 + i1 ^2 + i2 ^2

Rule argument

spec: inst: name: Lagrange-SumOf4Squares-primes seq: prime(j), j ≠ 2 ⊦ ∃ i, i0, i1, i2. j = i ^2 + i0 ^2 + i1 ^2 + i2 ^2 subst: [j] → [j0] flags: current, []

Additional information

Used terms: j0