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Theorem validval-put-any
⊦ validval(str, rk, val, st) ∧ validval(str, rk0, val0, st) → validval(str, rk0, val0, st[rk, val])
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
validvals-put-any
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 39
Proof steps: 102
Used lemmas:
validval-field-norefval
,
validref-null
,
validref-put-badarrayindex
,
validref-put-statfield-03
,
validref-put-any-01
,
validrefval-ref
,
validrefval-def
,
validval-def
,
validrefkeyval-def
,
Used spec theorems:
storekey
/
ex-04
okfuns
/
is-real-array-def
okfuns
/
is-any-array
Used simplifier rules:
valuefuns
/
okval-void
typefuns
/
elemtype-rec
okfuns
/
okarray-05
storefuns
/
instore-01
typefuns
/
elemtype-05
javatype
/
disj-02
typefuns
/
isreftype-06
valuefuns
/
okval-refval
okfuns
/
is_array-arraytype
specialkeys
/
type-03
storekey
/
test-02
storekey
/
test-01
specialkeys
/
type-neq
refkey
/
inj-01
refkey
/
elim
javavalue
/
test-19
javavalue
/
elim-13
valuefuns
/
okval-refval-01
storekey
/
test-07
fieldspec
/
sel-03
storekey
/
sel-05
storekey
/
test-05
storekey
/
elim-03
store
/javastore/
At-other
fieldspec
/
inj
specialkeys
/
type-fieldspec
storekey
/
test
specialkeys
/
type-04
specialkeys
/
type-06
store
/javastore/
At-same
fieldspec
/
elim