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Theorem setInt-theorem
⊦ ¬(by = i2b(i i>> 24) ∧ by0 = i2b(i i>> 16) ∧ by1 = i2b(i i>> 8) ∧ by2 = i2b(i)) → fillsgn(4, int2bytes(i)) ≠ by ' + by0 ' + by1 ' + by2 '
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: 66
Proof steps: 117
Used lemmas:
fillsgn-longer
,
int2int
,
int2bytes-byte
,
int2bytes-rec-shift
,
int2bytes-empty
,
int2bytes-fillsgn-rec
,
fillsgn-pos
,
bytes2int-one
,
fillsgn-neg
,
int2bytes-byte-01
,
int2bytes-len-one
,
int2bytes-len-one-01
,
Used spec theorems:
intops
/
intshiftright-def-unbounded
list-last
/bytelist/
mk-rec
byte
/
shiftright-byte-8-pos-01
byte
/
shiftright-byte-8-neg-01
nat-mult
/
four-01
intops
/
shiftright-shift
Used simplifier rules:
nat
/
lels-03
nat-basic1
/
ls-02
list
/bytelist/
e-01
nat
/
lels-02
nat
/
anti
nat
/
ge
int-abs
/
zero-gels-02
byte
/
byte-equal-01
int-abs
/
zero-gels
list
/bytelist/
c-03
list
/bytelist/
e
list
/bytelist/
c-06
list-last
/bytelist/
mklist-one
nat-basic1
/
lf-02
nat
/
lels
int-basic1
/
numlslsdel
intops
/
shiftright-not-neg
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
forward-lsle
int-abs
/
forward-le-05
int-abs
/
forward-le
intops
/
shiftright-not-pos-01
int-basic1
/
numlsf
nat-basic2
/
c
nat-basic2
/
a
nat
/
add-num-04
list
/bytelist/
len
int-abs
/
numleledel-01
int-abs
/
numlelsdel
int-abs
/
forward-lels
int-abs
/
lels-01
list
/bytelist/
Last
nat-basic1
/
one
list-data
/bytelist/
l
nat
/
lels-01
nat-basic1
/
lf-01
nat-basic1
/
f
nat
/
not-zero
int-abs
/
zero-gels-01
int-abs
/
forward-le-02
byte
/
shiftright-byte-8-neg
list
/bytelist/
c-04
list
/bytelist/
app-03
list
/bytelist/
app-01
list
/bytelist/
c
list-last
/bytelist/
mk-two-01
list-last
/bytelist/
mk-in
list-last
/bytelist/
mk-elem
list
/bytelist/
in-17
list
/bytelist/
in-append
list
/bytelist/
app-06
int-abs
/
zero-gels-04
int-abs
/
forward-le-01
byte
/
shiftright-byte-8-pos
int-abs
/
lels
byte
/
ibi
list
/bytelist/
len-02
byte
/
b2i-i2b-same
intops
/
band-commutativity
intops
/
band-associativity
intops
/
band-31-pos
list
/bytelist/
in-14
list
/bytelist/
a
list
/bytelist/
in-15