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Theorem okarray-init-04
⊦ okarray(refval(r), byte_type, i + 1, addarray(r, byte_type, vals + byteval(by) ', st)) ↔ okarray(refval(r), byte_type, i, addarray(r, byte_type, vals, st))
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 13
Proof steps: 27
Used lemmas:
isarray-init-02
,
add-at-ok
,
length-1init-01
,
length-init
,
okreftype-init-02
,
Used spec theorems:
okfuns
/
okarrayOfLength
list-del
/javavalues/
get-butlast
intnat
/
num-i2n-le-02
list-del
/javavalues/
get-last
Used simplifier rules:
intnat
/
inni-ls
nat-basic1
/
f
javavalue
/
test-36
intnat
/
n2n
int-abs
/
forward-lele
int-abs
/
lels
int-abs
/
anti
nat
/
lels
int-basic1
/
ls-01
int-abs
/
lels-04
list-data
/javavalues/
l
nat-basic1
/
z
intnat
/
num-n2i-ls-02
int-abs
/
forward-le-01
int-abs
/
forward-le-05
nat
/
ler
int-abs
/
le-add
intnat
/
le
nat
/
lels-01
nat-basic1
/
ref-1
intnat
/
nat2int
store
/javastore/
in-pair
okfuns
/
oktype-byte
int-abs
/
succ-02
int-abs
/
lels-01
intnat
/
num-n2i-ls-07
int-abs
/
numle-02
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
add-in
javavalue
/
inj-04
nat-basic2
/
c
nat-basic2
/
a
intnat
/
n2i-add
list
/javavalues/
a
list
/javavalues/
len-02
list
/javavalues/
len
store
/javastore/
In-store
javavalue
/
sel-09