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Theorem bytes2int-append
bytes ≠ [], bytes0 ≠ [] ⊦ bytes2int(bytes + bytes0) = bytes2int(bytes) * 256 ^ n→i(# bytes0) + band(bytes2int(bytes0), 256 ^ n→i(# bytes0) - 1)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
no-leading-zeros
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 42
Proof steps: 72
Used lemmas:
bytes2bits-nle
,
bytes2bits-nls
,
bytes2bits-length
,
bytes2bits-empty-01
,
bytes2bits-append
,
bytes2int
,
Used spec theorems:
int2bits
/
bits2uint-inv-neg
list
/bitlista/
first-01
int2bits
/
bits2uint-split
nat-mult
/
zero-06
int-pot
/
pot-pot
intops
/
band-011x-pos
intops
/
band-011x-neg
int2bits
/
bits2int-neg-03
int2bits
/
bits2uint-succ
int2bits
/
bits2uint-inv-pos
int2bits
/
ubits2bits
int2bits
/
bits2int-pos-02
int-div
/
mod-zero-05
Used simplifier rules:
int-abs
/
mone-05
int-abs
/
numle-03
int-abs
/
negle-07
int-abs
/
succ-01
int-pot
/
pot2-pos
int-abs
/
forward-le-05
int-abs
/
neg-05
int-abs
/
sub-le-01
int-abs
/
zero-gels-01
int-abs
/
forward-lsle
int-abs
/
lels-03
int-abs
/
absle
int-abs
/
forward-le-01
int-abs
/
sub-add-06
int-abs
/
minus-ass
int-abs
/
abs-05
int-abs
/
abs-08
int-abs
/
neg-13
int-abs
/
numls-02
int-abs
/
mone-06
int-abs
/
lels-01
int-abs
/
forward-le-02
int2bits
/
bits2int-first-01
int-basic2
/
add-in
int-abs
/
lels
int-mult
/
zero-ge
int2bits
/
bits2int-first
int-abs
/
neg-06
int-abs
/
num-subadd
int-abs
/
subsub
int-mult
/
one
int-mult
/
eq-dist
intnat
/
nat2int
nat-mult
/
zero-01
nat-mult
/
mult-c
nat-mult
/
mult-a
intnat
/
n2i-mult
list-data
/bytelist/
l
bitopsaux
/
inv-len
bitopsaux
/
inv-empty
int-basic2
/
add-zero
int-abs
/
sub-eq
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
sub-add-01
int-abs
/
neg-15
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
minus-left
int-abs
/
negeq
bitopsaux
/
inv-append
list
/bitlista/
a
list
/bitlista/
app-02-ant
list
/bytelist/
a