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Theorem addarray-mklist-05
⊦ addarray(r, ty, mklist(initial_value(ty), n), st) = (addarray(r, initial_value(ty), n→i(n), st)[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(n))])
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: 7
Proof steps: 12
Used lemmas:
addarray-rec
,
add-lastrec
,
addarrayinit-base
,
addarrayinit-def
,
1dim
,
Used spec theorems:
list-last
/javavalues/
mk-last-02
store
/javastore/
rew
Used simplifier rules:
refkey
/
inj
specialkeys
/
type-03
store
/javastore/
ins3
list-last
/javavalues/
last-def
list
/javavalues/
a
list-last
/javavalues/
butlast-def
int-basic2
/
ax-04
int-abs
/
numsub
int-abs
/
ax-02
int-abs
/
numls-02
int-abs
/
mone-06
intnat
/
nat2int
int-basic2
/
add-a
int-basic2
/
add-c
nat-basic2
/
pred
list-last
/javavalues/
mk-len
list-last
/javavalues/
mk-empty
nat-basic2
/
oz
nat-basic2
/
c
nat-basic2
/
a
intnat
/
n2i-add
nat-basic2
/
succ
list-data
/javavalues/
size-01
list-last
/javavalues/
mk-zero