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Theorem putarray-add-same-02
⊦ i = n→i(# vals) ∧ val = initial_value(ty) → putArray(vals, r, 0, addarray(r, val, i, st)) = addarray(r, vals, 0, st)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
putarray-add-butlast
,
putarray-add-same-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 15
Used lemmas:
addarray-lastrec
,
addarrayinit-base
,
1dim
,
addarray-rec
,
Used spec theorems:
storearrays
/
putAr-lastrec
storearrays
/
putar-rew
Used simplifier rules:
nat-basic2
/
s
nat
/
ler
refkey
/
sel-01
refkey
/
sel-02
storekey
/
test-06
storekey
/
sel-06
intnat
/
nat2int-08
intnat
/
le
nat
/
lels-01
nat-basic1
/
ref-1
store
/javastore/
insins
list
/javavalues/
e-02
int-basic2
/
add-in
nat-basic2
/
c
nat-basic2
/
a
intnat
/
n2i-add
list
/javavalues/
a
list
/javavalues/
len-02
list
/javavalues/
len
list-last
/javavalues/
last-elim
int-abs
/
numsub
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
ax-04
int-abs
/
elim-sub
int-abs
/
ax-02
intnat
/
num-n2i-ls-02
nat-basic1
/
z
list-data
/javavalues/
l
list-data
/javavalues/
size-01
storearrays
/
putArray-empty