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Theorem getarray-addarray-06
⊦ 0 ≤ i → getarray(r, addarray(r, ty, i, st)) = mklist(initial_value(ty), i→n(i))
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: 4
Proof steps: 8
Used lemmas:
at-1dim
,
length-1dim
,
Used spec theorems:
list-del
/javavalues/
extension
storearrays
/
getarray-length
intnat
/
num-i2n-ls-02
Used simplifier rules:
int-basic1
/
ls-01
int-abs
/
lels-03
nat-basic1
/
z
intnat
/
num-n2i-ls-02
int-abs
/
forward-le
int-abs
/
lels
intnat
/
nat2int
int-abs
/
forward-le-05
int-abs
/
lels-02
intnat
/
abs-zero
nat-basic1
/
f
list-del
/javavalues/
get-mklist-01
intnat
/
abs-eq
int-abs
/
zero-gels-04
javavalue
/
sel-04
int-abs
/
lels-01
int-abs
/
lels-04
storearrays
/
getarray-get
list-last
/javavalues/
mk-len
int-abs
/
forward-le-01