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Theorem two-minus
⊦ (i - j)^2 = (i ^2 - 2 * i * j) + j ^2
Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by:
euler-four-square-identity
,
euler-four-square-identity2
,
two-identity
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 11
Used lemmas:
Square-def
,
Used spec theorems:
int-mult
/
dist-sub-split
int-mult
/
dist-lsplit
Used simplifier rules:
int-abs
/
sub-eq
int-abs
/
sub-add-01
int-abs
/
elim-sub
int-mult
/
commutativity
int-basic2
/
add-c
int-mult
/
numeq-02
int-mult
/
one
int-mult
/
associativity
int-basic2
/
add-a
int-mult
/
eq-dist