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Theorem okarray-putarray-addarray-put
⊦ (∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val)) ∧ 0 ≤ i ∧ 0 ≤ j ∧ j ≤ n→i(# vals) + i ∧ i ≤ n→i(# vals0) ∧ r ≠ jvmref → okarray(r, byte_type, putArray(vals, r, i, addarray(r, byte_type, vals0, st))[r -- _length, intval(j)])
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: 16
Proof steps: 34
Used lemmas:
add-at-ok
,
type-1init
,
add-in
,
in-add
,
Used spec theorems:
okfuns
/
okarrayNotNull
storearrays
/
is_arrayref
storearrays
/
putArray-at
okfuns
/
okreftype
storearrays
/
putar-at
storearrays
/
putar-atother
list-del
/javavalues/
in-get
intnat
/
num-i2n-le-02
Used simplifier rules:
int-abs
/
lep
int-basic2
/
ls-01
int-abs
/
elim-sub
int-basic2
/
ls-02
nat
/
lels
list-data
/javavalues/
l
nat-basic1
/
z
intnat
/
num-n2i-ls-02
int-abs
/
lels-03
int-abs
/
forward-le
int-abs
/
forward-le-05
int-abs
/
forward-lels
int-abs
/
forward-lsle
int-abs
/
forward-lele
int-basic2
/
add-c
int-basic2
/
add-a
typefuns
/
le-06
typefuns
/
subarray1
javavalue
/
sel-11
javavalue
/
test-92
storearrays
/
putarray-type
javastore
/
at-other-51
javastore
/
instore-02
specialkeys
/
type-04
javavalue
/
sel-09
javavalue
/
test-19
storekey
/
test-06
storekey
/
sel-06
storekey
/
test-08
refkey
/
sel-02
refkey
/
sel-01
int-abs
/
lels
storearrays
/
putArray-in
okfuns
/
oktype-byte
javastore
/
at-other-18
storearrays
/
arrayref-01
int-abs
/
lels-04
int-abs
/
lels-01
javavalue
/
sel-04
javavalue
/
test-25
store
/javastore/
At-same
store
/javastore/
In-insert
intnat
/
nat2int
int-abs
/
forward-le-01