[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 square-eq
⊦ i * i = j * j ↔ abs(i) = abs(j)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
int-pot
,
int-gcd
,
int-div
,
int-square
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 15
Proof steps: 19
Used lemmas:
eq-pos
,
abs-eqneg
,
minus-left
,
square-ls
,
square-abs
,
abs-eqall
,
square-zero
,
commutativity
,
associativity
,
pls-pos
,
Used spec theorems:
int-abs
/
Abs-pos
Used simplifier rules:
int-abs
/
lels-02
int-basic1
/
irref
int-abs
/
lels-01
int-basic1
/
ls-01
int-basic2
/
ls-02
int-abs
/
forward-le-02
int-basic1
/
lf-02
int-abs
/
abs-08
int-abs
/
negeq
int-abs
/
abs-06
int-abs
/
neg-05
int-abs
/
neg-02
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
neg-03
int-basic1
/
lst-01
int-abs
/
abs-16
int-abs
/
absls
int-abs
/
zero-gels-01
int-abs
/
Abs-pos