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Theorem bytes2int-diff
⊦ # bytes0 = # bytes ∧ bytes0 ≠ bytes → bytes2int(bytes0) ≠ bytes2int(bytes)
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: 19
Proof steps: 34
Used lemmas:
bytes2int-one
,
bytes2int-rec-01
,
Used spec theorems:
list-data
/bytelist/
lf-01
int-mult
/
modeqp-copied
byte
/
byte-011x-neg
byte
/
byte-011x-pos
Used simplifier rules:
int-abs
/
numls-03
byte
/
byte-nls
byte
/
byte-nge
int-abs
/
zero-gels-01
int-abs
/
forward-lsle
int-abs
/
forward-le-01
byte
/
byte-mod-100x
intops
/
band-255-pos
int-abs
/
forward-le-02
byte
/
byte-mod-100x-01
intops
/
band-255-neg
int-abs
/
lels-01
intops
/
band-notneg
intops
/
band-associativity
int-abs
/
lels
intops
/
band-max-04
nat-basic2
/
s
nat-basic1
/
ref-1
list
/bytelist/
app-03
int-basic2
/
add-c
int-basic2
/
add-a
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
eq-pos
int-basic2
/
add-in
intops
/
band-commutativity
nat-basic2
/
one
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
eq-01
list
/bytelist/
e-02
list
/bytelist/
len-02
list
/bytelist/
len
list-last
/bytelist/
last-elim
list
/bytelist/
e
byte
/
byte-equal
list
/bytelist/
e-01
list
/bytelist/
c-03
list-data
/bytelist/
elim-list
list
/bytelist/
a
list
/bytelist/
app
list
/bytelist/
c
list-data
/bytelist/
size-01
list-data
/bytelist/
l
nat-basic1
/
one