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Theorem addarray-addaray
⊦ 0 ≤ i → addarray(r, ty, i, st) = addarray(r, ty, mklist(initial_value(ty), i→n(i)), st)
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: 13
Proof steps: 32
Used lemmas:
in-init-01
,
in-1dim-01
,
add-at-01
,
add-in-other
,
in-1init-02
,
in-init-09
,
in-1dim-other
,
add-in-fskey
,
in-1dim-fskey
,
add-at-other
,
add-at-ok
,
at-1dim
,
in-add
,
in-1dim-16
,
length-1init-01
,
length-1dim
,
length-init
,
addarray-length-in
,
length-1dim-02
,
type-1init
,
type-1dim
,
add-in
,
type-in
,
at-1dim-other
,
add-at-02
,
Used spec theorems:
store
/javastore/
Extension
storekey
/
ex-03
list-del
/javavalues/
get-mklist-01
Used simplifier rules:
storefuns
/
instore-01
intnat
/
labs
int-abs
/
absle
int-abs
/
abs-16
int-abs
/
lels-03
intnat
/
i2i-pos
int-abs
/
lels-04
storekey
/
test-08
storekey
/
elim-04
int-abs
/
forward-le-05
javavalue
/
inj-09
list-last
/javavalues/
mk-len
intnat
/
i2i-pos-01
javavalue
/
inj-04
storekey
/
test-02
int-abs
/
lels-01
int-abs
/
lels
storekey
/
test
storekey
/
test-01
refkey
/
elim
int-abs
/
forward-le-01