[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem lagrange-primedivisors
∀ j. j ∈ ints → (∃ i, i0, i1, i2. j = i ^2 + i0 ^2 + i1 ^2 + i2 ^2) ⊦ ∃ i, i0, i1, i2. Π ints = i ^2 + i0 ^2 + i1 ^2 + i2 ^2
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Lagrange-SumOf4Squares
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 12
Used lemmas:
Used spec theorems:
int-square
/
euler-four-square-identity2
Used simplifier rules:
intlist
/
prod-empty
list
/intlista/
in-empty
int-square
/
zero-i
int-square
/
one
intlist
/
prod-rec
list
/intlista/
a
list
/intlista/
in-17
list
/intlista/
in-append
list
/intlista/
c
int-abs
/
sub-add-01
int-abs
/
sub-sub
int-basic2
/
add-a
int-basic2
/
add-c