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Theorem bytes2int-len-one-02
⊦ 0 ≤ bytes2int(bytes) ∧ # bytes ≠ 1 ∧ bytes ≠ [] ∧ bytes.first = i2b(0) ∧ b2i(bytes.rest.first) < 0 → ¬ bytes2int(bytes) < 128
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: 7
Proof steps: 17
Used lemmas:
bytes2int-zero-02
,
bytes2int-zero-03
,
bytes2int-le-zero
,
bytes2int-rec-01
,
bytes2int-zero
,
bytes2int-rec
,
Used spec theorems:
int-abs
/
discard-add2-lels-left
Used simplifier rules:
int-abs
/
lels-03
intops
/
band-255-pos
int-abs
/
forward-le-05
byte
/
byte-and-255
int-abs
/
lels
int-basic1
/
ls-01
int-abs
/
lels-01
list
/bytelist/
in-01
list
/bytelist/
in-06
byte
/
byte
int-basic2
/
add-zero
int-mult
/
associativity
int-abs
/
lsone
int-div
/
nummult-ls
list
/bytelist/
e-02
list-last
/bytelist/
last-elim
int-mult
/
commutativity
list-last
/bytelist/
bapp
list-last
/bytelist/
l-02
list-last
/bytelist/
l-05
nat-basic1
/
one
nat-basic2
/
z-01
nat
/
add-num-03
list
/bytelist/
e
intops
/
band-255-neg
byte
/
byte-mod-100x-01
int-basic2
/
add-a
int-basic2
/
add-c
intops
/
band-associativity
intops
/
band-commutativity
int-abs
/
numle-02
int-abs
/
numls-03
byte
/
byte-nls
list
/bytelist/
app
list
/bytelist/
e-01
nat-basic2
/
c
nat-basic2
/
a
list-data
/bytelist/
l
nat-basic2
/
one
list
/bytelist/
a
list
/bytelist/
len-02
list
/bytelist/
len
list
/bytelist/
c
int-abs
/
zero-gels-01
int-abs
/
forward-le-01
int-abs
/
forward-lels
int-abs
/
forward-le-02
int-abs
/
forward-lsle
list-data
/bytelist/
elim-list-c