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Theorem int2bytes-rec-pos
255 < i ⊦ int2bytes(i) = int2bytes(i / 256) + int2bytes(i % 256).last '
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
bytes2int-int2bytes-len-eq
,
int2bytes-first-zerobyte
,
int2bytes-leading-zeros
,
int2bytes-rec-case
,
int2bytes-rec-pos-01
,
int2bytes-rec-pos-02
,
int2bytes-rec-pos-03
,
int2bytes-zero
,
no-leading-zero
,
no-leading-zero-01
,
rightshift-8-01
,
rightshift-8-02
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 25
Proof steps: 44
Used lemmas:
int2bytes-le127
,
int2bytes-le255
,
bits2bytes-rec
,
int2bytes
,
Used spec theorems:
int2bits
/
uint2bits-2potrec
bitopsaux
/
fill-fill
list-data
/bitlista/
length-rest
bitopsaux
/
fill-length
list
/bytelist/
app-06
list-del
/bitlista/
firstN-len
list-del
/bitlista/
lastN-append
bitopsaux
/
fill-rec
int2bits
/
uint2bits-len-max
int2bits
/
int2bits-pos
bitopsaux
/
fillsgn-longer
int2bits
/
uint2bits-len
int2bits
/
uint2int-rest
Used simplifier rules:
int-abs
/
sub-add-01
int-basic2
/
add-a
int-basic2
/
add-c
int-basic2
/
add-in
int-abs
/
Sub-def
nat
/
lels-02
int-basic1
/
trans
int-abs
/
sub-eq
int-abs
/
forward-lsle
list
/bytelist/
a
list-last
/bytelist/
last-def
int2bits
/
int2int-inj
nat
/
lels-03
int2bits
/
bits2int-fill
list
/bitlista/
e-01
int-abs
/
forward-lele
nat-basic1
/
lf-02
nat-basic1
/
lf-01
nat-basic1
/
ls-02
nat
/
anti
byte
/
i2b-noteq
list-last
/bytelist/
l
int-abs
/
lels-04
int-div
/
mod256
int-abs
/
lels
list-data
/bitlista/
length-rest
int-div
/
mod-less-01
bitopsaux
/
fill-length
nat
/
add-01
nat-basic2
/
z
nat-basic2
/
l-01
nat
/
fle
list
/bitlista/
app
list-data
/bitlista/
lf-01
nat-basic2
/
one
nat
/
eq-02
nat-basic1
/
one-01
nat
/
pred-03
bitopsaux
/
fill-empty
list
/bytelist/
Last
nat
/
fle-01
nat-basic1
/
trans-1
nat-basic1
/
trans
nat
/
lels-01
list-last
/bitlista/
mk-len
nat
/
le
nat
/
lep-02
nat-basic1
/
f
list
/bitlista/
c-07
list
/bitlista/
c
list
/bitlista/
in-14
list
/bitlista/
len-02
nat
/
le-num-04
nat-basic2
/
a
nat-basic2
/
c
nat
/
let
nat
/
lep-01
list-data
/bitlista/
l
list-data
/bitlista/
elim-list-c
bitopsaux
/
fillsgn-longer
int2bits
/
uint2bits-empty
int-div
/
mod-zero
nat
/
lels
list
/bitlista/
a
list
/bitlista/
len
int-div
/
pos
int-abs
/
lels-01
int-abs
/
forward-lels
int-basic1
/
lf-01
int-abs
/
numlsf-01