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Theorem Lagrange-SumOf4Squares
0 ≤ j ⊦ ∃ i, i0, i1, i2. j = i ^2 + i0 ^2 + i1 ^2 + i2 ^2
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 13
Used lemmas:
Lagrange-SumOf4Squares-primes
,
lagrange-primedivisors
,
Used spec theorems:
intlist
/
all_prime_divisors-product
Used simplifier rules:
int-abs
/
lels-02
int-abs
/
forward-le-01
intlist
/
all_prime_divisors-in-01
int-gcd
/
prime-two-01
int-square
/
zero-i
int-square
/
one
int-abs
/
forward-le-05
int-basic2
/
add-a
int-basic2
/
add-c