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Theorem bits2bits-sgn
⊦ bits ≠ [] → sgn(bytes2bits(bits2bytes(bits))) = sgn(bits)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
bits2int-2pot
,
int2int
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 55
Proof steps: 97
Used lemmas:
byte2bits8
,
byte2bits-first
,
byte2bits-empty
,
bits2bytes-empty
,
bytes2bits-empty-01
,
bits2bits-in
,
bytes2bits-append
,
byte2bits
,
bytes2bits-one
,
bits2bytes-base
,
bits2bytes-rec
,
Used spec theorems:
bitopsaux
/
sgn-sgn-01
bitopsaux
/
sgn-mklist-03
bitopsaux
/
sgn-append-04
bitopsaux
/
sgn-rec-01
byte
/
num-ibbi
bitopsaux
/
sgn-append-05
bitopsaux
/
sgn-base-03
list
/bitlista/
app-08
list-del
/bitlista/
lastn-length-01
bitopsaux
/
sgn-append-01
list-del
/bitlista/
firstN-lastN
Used simplifier rules:
list-del
/bitlista/
first-length
nat
/
ls-01
nat
/
lep-01
nat-basic2
/
a
nat-basic2
/
c
nat-basic1
/
lf-02
int-abs
/
lels-03
int-abs
/
zero-gels-01
int-abs
/
forward-lsle
int-abs
/
forward-lels
list
/bitlista/
app-01
int-abs
/
zero-gels-03
int2bits
/
bits2int-first-01
int-abs
/
forward-le-02
list-del
/bitlista/
lastN-empty
int2bits
/
bits2int-first
int-abs
/
zero-gels-04
byte
/
byte-in
int-abs
/
lels-04
int-abs
/
numleledel-01
int2bits
/
bits2int8-02
int2bits
/
bits2int8-03
int-abs
/
forward-le-01
int-abs
/
lels
nat-basic1
/
ls-02
nat
/
lels-01
list-del
/bitlista/
firstN-empty
nat
/
zero-01
list-data
/bitlista/
l
nat-basic1
/
f
list
/bytelist/
a
list
/bytelist/
Last
nat
/
lels-02
nat
/
zero-02
bitopsaux
/
sgn-sgn-01
list
/bitlista/
a
nat
/
not-zero
list-last
/bitlista/
mk-zero
list
/bitlista/
Nil
int-abs
/
forward-lele
bitopsaux
/
fill-fill
bitopsaux
/
fill-sgn-01
int2bits
/
bits2bits-def
int-abs
/
lels-01
int2bits
/
bits2int-le8
int2bits
/
bits2int-le8-01
nat
/
lels