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Theorem putar-rew
⊦ rk .ref ≠ r ∨ is_fskey(rk .key) ∨ rk .key .index < j ∨ n→i(# vals) + j ≤ rk .key .index → (putArray(vals, r, j, st)[rk, val]) = putArray(vals, r, j, st[rk, val])
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
putAr-lastrec
,
putArray-in
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 12
Used lemmas:
putArray-rec
,
putArray-empty
,
Used spec theorems:
store
/javastore/
rew
Used simplifier rules:
storekey
/
inj-04
storekey
/
elim-04
list-data
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l
nat-basic1
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z
intnat
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num-n2i-ls-02
int-basic2
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ls-02
int-abs
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forward-lsle
int-basic1
/
ls-01
int-abs
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lels-04
int-abs
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succ-02
refkey
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inj-01
refkey
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inj
store
/javastore/
insins
storekey
/
test-06
storekey
/
sel-06
oelem
/intlista/
irreflexivity
int-basic2
/
ls
intnat
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nat2int-08
int-abs
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lels-01
int-abs
/
lels
storekey
/
test-01
int-basic2
/
add-c
int-basic2
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add-a
int-abs
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succ-01
nat-basic2
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c
nat-basic2
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a
intnat
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len
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a
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elim