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Theorem no-leading-zero-01
⊦ 0 ≤ b2i(by) → int2bytes(i) ≠ i2b(0) ' + by ' + bytes
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
bytes2bytes-identity
,
int2bytes-len-eq-pos
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 22
Proof steps: 49
Used lemmas:
int2bytes-zero
,
int2bytes-rec255-neg
,
int2bytes-byte
,
int2bytes-le255
,
int2bytes-rec-pos
,
Used spec theorems:
int-div
/
div-eq-zero-01
int-abs
/
Abs-neg
int-abs
/
le-rew-succ
int-mult
/
dist-rsplit
int-mult
/
numls-12
int-basic1
/
trans
byte
/
bib-in-01
list-last
/bytelist/
splitlasteq
Used simplifier rules:
int-abs
/
abs-16
int-div
/
div-le-same
int-div
/
mod-zero-08
int-div
/
div-eq-zero
int-basic2
/
num-between
int-abs
/
numleledel-01
int-abs
/
forward-le-02
int-abs
/
mone-05
int-basic1
/
numlslsdel-01
int-basic1
/
forward-pos
int-abs
/
forward-le-05
list
/bytelist/
app-01
int-div
/
nummult-ls-03
int-basic1
/
minus-one
byte
/
notequal
int-abs
/
forward-lels
int-mult
/
zero-ls
int-mult
/
ls-dist
int-abs
/
sub-ls
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
succ-rmerge
int-div
/
div-elim-negpos
int-abs
/
sub-le
int-abs
/
neg-15
int-abs
/
neg-06
int-abs
/
Abs-pos
int-abs
/
numle-03
int-abs
/
zero-gels-04
int-abs
/
forward-le-04
int-abs
/
forward-lele
int-div
/
neg-01
int-div
/
abs
intnat
/
labs
int-abs
/
lels-04
list
/bytelist/
e-02
list-last
/bytelist/
last-elim
list-last
/bytelist/
lin-01
list-last
/bytelist/
l-02
list-last
/bytelist/
bapp
int-abs
/
abs-08
int-abs
/
neg-13
int-abs
/
numls-02
int-basic1
/
lst
list-last
/bytelist/
l
list-last
/bytelist/
b
list
/bytelist/
app
list
/bytelist/
e-01
list-last
/bytelist/
l-05
list-last
/bytelist/
bin
int-basic1
/
numlslsdel
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
numls-03
int-abs
/
elim-sub
list
/bytelist/
in-15
list
/bytelist/
in-17
list
/bytelist/
in-append
int-abs
/
numlelsdel
int-abs
/
lels-03
int-abs
/
zero-gels-01
int-abs
/
forward-lsle
int-abs
/
zero-gels-03
int-basic1
/
numlsf
int-abs
/
numlsledel
int-abs
/
lels-01
list
/bytelist/
c-03
list
/bytelist/
app-02-ant
list
/bytelist/
e
int-abs
/
numleledel
int-abs
/
lels
int-abs
/
forward-le-01
list
/bytelist/
a
list
/bytelist/
in-14