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Theorem even-sum

j = i ^2 + i0 ^2 + i1 ^2 + i2 ^2, even(j) ⊦ ∃ i3, i4, i5, i6. even(i3 + i4) ∧ even(i5 + i6) ∧ i3 ^2 + i4 ^2 + i5 ^2 + i6 ^2 = j

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: Lagrange-SumOf4Squares-primes,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 26
Proof steps: 48
Used lemmas:
Used spec theorems:
- int-min/odd-add
- int-min/even-add
Used simplifier rules: