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Theorem bytes2int-zero-06
⊦ bytes ≠ [] → (bytes2int(bytes) = 0 ↔ (∀ by. by ∈ bytes → b2i(by) = 0))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
bytes2int-fillsgn-zero
,
bytes2int-zero-05
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 19
Used lemmas:
bytes2int-one
,
bytes2int-rec-01
,
bytes2int-zero-03
,
Used spec theorems:
Used simplifier rules:
list-last
/bytelist/
lin-01
intops
/
band-commutativity
intops
/
band-associativity
byte
/
byte-011x-pos-02
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
add-zero
list
/bytelist/
c-03
list
/bytelist/
in-06
list-last
/bytelist/
l-02
list-last
/bytelist/
bapp
nat-basic2
/
one
list-last
/bytelist/
b-01
list-last
/bytelist/
bin-01
list-last
/bytelist/
lb
nat-basic1
/
one-01
nat
/
lels-01
nat
/
ls-01
nat-basic2
/
s
nat-basic1
/
ref-1
list
/bytelist/
c
list
/bytelist/
len
list
/bytelist/
len-02
list
/bytelist/
a
nat-basic2
/
one-03
nat-basic2
/
a
nat-basic2
/
c
list
/bytelist/
e-01
list
/bytelist/
app
list-data
/bytelist/
elim-list-c
list
/bytelist/
in-08
list-data
/bytelist/
l
nat-basic1
/
one
byte
/
byte