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Theorem putarray-add-same
⊦ i = n→i(# vals) → putArray(vals, r, addarray(r, ty, i, st)) = addarray(r, ty, 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: 28
Used lemmas:
at-field-1dim
,
at-1dim
,
at-1dim-other
,
lookup-1dim
,
add-at-ok
,
type-1init
,
type-1dim
,
length-1init-01
,
length-1dim
,
add-at-other
,
add-in-fskey
,
add-in-other
,
in-init-01
,
in-add
,
add-in
,
type-in
,
length-init
,
length-1dim-02
,
in-1dim-other
,
Used spec theorems:
store
/javastore/
Extension
storearrays
/
putArray-all
storearrays
/
putArray-in
storearrays
/
putar-at
storearrays
/
putar-atother
Used simplifier rules:
storekey
/
test-06
storekey
/
sel-06
storearrays
/
putarray-field
storearrays
/
putar-atref
int-abs
/
sub-zero-01
javavalue
/
inj-09
storearrays
/
putarray-type
javavalue
/
inj-04
storearrays
/
putarray-length
specialkeys
/
len
specialkeys
/
type-03
storekey
/
test-08
storekey
/
elim-04
list-data
/javavalues/
l
nat-basic1
/
z
intnat
/
num-n2i-ls-02
int-abs
/
forward-le-01
int-abs
/
forward-le-05
int-abs
/
lels-03
int-abs
/
lels-04
int-abs
/
zero-gels-04
int-abs
/
lels-01
int-abs
/
lels
storekey
/
test-02
storekey
/
test
storekey
/
test-01
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
ax-04
refkey
/
sel-02
refkey
/
sel-01