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Theorem byte-law-neg
⊦ i2b(~ i) = i2b(~ b2i(i2b(i)))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
byte-law-sub-one-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 24
Proof steps: 37
Used lemmas:
byte
,
num-i2b-equal
,
bib-pos-low
,
bib-upper
,
byte-equal
,
bib-pos-high
,
i2b-equal
,
byte-add-256-01
,
bib-neg-low
,
bib-neg-high
,
bib-in-01
,
Used spec theorems:
int-basic1
/
lsrec
Used simplifier rules:
int-abs
/
Sub-def
int-abs
/
sub-le-01
int-div
/
mod-le-num
int-basic2
/
num-between
int-abs
/
sub-eq
int-abs
/
neg-15
int-abs
/
sub-eq-01
int-abs
/
lels-02
int-abs
/
num-between
int-abs
/
sub-ls-01
int-abs
/
minus-sub
int-div
/
mod-zero-02
int-div
/
modmod
int-abs
/
neg-05
int-abs
/
anti
int-abs
/
numleledel
int-basic1
/
numlslsdel-01
int-abs
/
forward-le-01
int-abs
/
zero-gels
int-abs
/
neg-03
int-abs
/
forward-lele
int-abs
/
numleledel-01
int-basic2
/
eq
int-abs
/
lels-04
int-basic2
/
succ-01
int-abs
/
forward-lels
int-div
/
mod-grz
int-basic1
/
forward-pos
int-abs
/
forward-le-05
int-abs
/
numle-02
int-abs
/
negle-13
int-abs
/
sub-le
int-abs
/
minus-add
int-abs
/
forward-lsle
int-abs
/
neg-12
int-abs
/
subsub
int-abs
/
negeq
int-abs
/
numadd-01
int-abs
/
zero-gels-03
int-abs
/
neg-13
int-abs
/
numls-02
int-div
/
mod-nle-02
int-abs
/
negle-07
int-basic2
/
add-zero
int-basic1
/
ls-01
int-div
/
mod-neg-01
int-abs
/
neg-07
int-abs
/
numls-03
int-basic1
/
numlslsdel
int-abs
/
zero-gels-01
int-div
/
mod-ls-zero
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
lels-03
int-abs
/
lels
int-basic1
/
numlsf
int-basic1
/
lst
int-abs
/
lels-01