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Theorem bytes2int-rec
⊦ bytes ≠ [] → bytes2int(bytes + by ') = bytes2int(bytes) * 256 + band(b2i(by), 255)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
bytes2int-011x
,
bytes2int-011x-01
,
bytes2int-011x-02
,
bytes2int-100x
,
bytes2int-100x-01
,
bytes2int-100x-02
,
bytes2int-100x-03
,
bytes2int-1011x
,
bytes2int-2-le-32767
,
bytes2int-i2b
,
bytes2int-len-one-01
,
bytes2int-len-one-02
,
bytes2int-mklist-mones
,
bytes2int-mklist-mones-01
,
bytes2int-mklist-zeros
,
bytes2int-mklist-zeros-01
,
bytes2int-rec-01
,
bytes2int-rec-bor
,
bytes2int-rec-first-zero
,
bytes2int-zero-01
,
getInt-theorem
,
no-leading-zero
,
short-2bytes
,
short-2bytes-03
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 14
Proof steps: 27
Used lemmas:
byte2bits-val
,
byte2bits-value
,
byte2bits-first
,
byte2bits-empty
,
byte2bits-length
,
bytes2bits-empty-01
,
bytes2bits-one
,
bytes2bits-append
,
bytes2int
,
Used spec theorems:
int2bits
/
bits2int-neg-03
int2bits
/
bits2uint-succ
int2bits
/
bits2uint-inv-pos
int2bits
/
bits2uint-inv-neg
int2bits
/
bits2int-pos-02
list
/bitlista/
first-01
int2bits
/
bits2uint-split
Used simplifier rules:
int-abs
/
lels-04
int-abs
/
minus-ass
int-abs
/
num-subadd
int-abs
/
Sub-def
int-abs
/
forward-le-01
byte
/
byte-mod-100x
intops
/
band-255-pos
int-abs
/
lels
int-abs
/
subsub
intops
/
band-255-neg
byte
/
byte-mod-100x-01
intops
/
band-associativity
intops
/
band-commutativity
int-basic2
/
add-in
int-mult
/
eq-dist
bitopsaux
/
inv-len
int-abs
/
minus-add
int-abs
/
sub-eq
int-abs
/
sub-add-01
int-abs
/
neg-15
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
minus-left
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
numadd-01
bitopsaux
/
inv-empty
int-abs
/
negeq
bitopsaux
/
inv-append
list
/bitlista/
a
list
/bitlista/
app-02-ant
list
/bytelist/
a