[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 no-leading-zero
⊦ int2bytes(bytes2int(bytes)) = bytes ∧ 1 < # bytes ∧ bytes.first = i2b(0) → b2i(bytes.rest.first) < 0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 25
Proof steps: 48
Used lemmas:
int2bytes-le255
,
int2bytes-le127
,
byte2bits
,
byte2bits-empty
,
bytes2bits-rec
,
bytes2int
,
bytes2int-neg
,
int2bytes-rec-pos
,
int2bytes-byte
,
bytes2int-zero
,
bytes2int-rec
,
Used spec theorems:
int-abs
/
le-rew-succ
int-mult
/
ls-add
int2bits
/
bits2int-zero-02
bitopsaux
/
fill-in
byte
/
byte-011x-pos
int-div
/
div-mult-pos-02
Used simplifier rules:
nat-basic2
/
s
nat-basic1
/
ref-1
int-mult
/
associativity
int-div
/
mod-mult-pos
int-basic1
/
numlslsdel-01
int-basic1
/
forward-pos
list
/bytelist/
app-06
byte
/
byte-le
int-abs
/
lels-04
int-abs
/
lels-03
int-abs
/
mone-05
int-abs
/
numls-02
byte
/
byte-nle-02
int-abs
/
numle-03
int-abs
/
numsub
byte
/
byte-add-256
int-abs
/
numls-03
int-abs
/
numle-02
byte
/
byte-mod-100x-01
intops
/
band-255-neg
list
/bitlista/
e-03
list
/bitlista/
app
list-last
/bitlista/
mk-zero
bitlista
/
mklist-num
bitopsaux
/
fill-rec-one
int2bits
/
int2bits-zero
int2bits
/
int2bits-truein
int2bits
/
int2bits-not-empty
list
/bitlista/
in-append
list
/bitlista/
app-02-ant
list
/bitlista/
a
int-abs
/
anti
list
/bytelist/
c-08
byte
/
byte
int-abs
/
zero-gels-01
int-abs
/
forward-le-02
int-abs
/
forward-lsle
int-mult
/
commutativity
int-abs
/
zero-gels-03
int-abs
/
zero-gels-04
int-abs
/
forward-le-05
int-abs
/
forward-le-04
int-abs
/
forward-lele
int-abs
/
lels-01
intops
/
band-notneg
intops
/
band-max-04
list
/bytelist/
app-02-ant
list
/bytelist/
e-02
list
/bytelist/
app-01
list-last
/bytelist/
last-elim
list
/bytelist/
Last
list-last
/bytelist/
butlast-last
byte
/
byte-nge
int-abs
/
numleledel-01
byte
/
ibi
list
/bytelist/
c-03
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
add-zero
intops
/
band-commutativity
intops
/
band-associativity
byte
/
byte-mod-100x
intops
/
band-255-pos
list
/bytelist/
e
list
/bytelist/
in-15
list
/bytelist/
app
list
/bytelist/
in-17
list
/bytelist/
in-append
list
/bytelist/
in-14
list
/bytelist/
e-01
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
one
list
/bytelist/
a
list
/bytelist/
len-02
list
/bytelist/
len
list
/bytelist/
c
int-abs
/
forward-le-01
int-abs
/
lels
list-data
/bytelist/
l
nat-basic1
/
one
list-data
/bytelist/
elim-list-c