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Theorem two-even
⊦ 2 * i = j1 ^2 + j2 ^2 → i = ((j1 - j2) / 2)^2 + ((j1 + j2) / 2)^2
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
two-even-01
,
two-ex
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 29
Proof steps: 48
Used lemmas:
zero
,
two-mult
,
one
,
neq
,
Square-def
,
two-plus
,
Used spec theorems:
int-div
/
modex
int-mult
/
dist-sub-split
int-div
/
even-not-ex
int-mult
/
dist-rmerge
int-mult
/
dist-lsplit
Used simplifier rules:
int-div
/
div-mult-num
int-mult
/
one
int-abs
/
sub-sub
int-abs
/
Sub-def
int-div
/
mod-two-02
int-abs
/
sub-add
int-abs
/
sub-eq
int-mult
/
add-mult-two
int-mult
/
odd-even
int-mult
/
eq-dist
int-basic2
/
add-c
int-basic2
/
add-in
int-mult
/
neq-not-zero
int-mult
/
associativity
int-mult
/
commutativity
int-basic2
/
add-a
int-mult
/
eq-pos