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Theorem validfieldinits-def-01
⊦ validfieldinits(str, fis, st) ↔ validfieldinits(fis, st) ∧ ¬ junkrefs(str, fis .vals, st) ∧ (∀ sk. sk ∈ fis → type∃(str, sk .fs .type))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
validfieldinits-junkref
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 17
Proof steps: 45
Used lemmas:
validref-def
,
validref-null
,
validrefval-junkref
,
validref-is-junk
,
validrefval-ref
,
validval-def
,
junkreflist-rec
,
validfieldinits-rec
,
junkreflist-empty
,
validfieldinits-empty
,
Used spec theorems:
addfuns
/
validfieldinits-rec
assoclist
/fieldinit/
in-append
Used simplifier rules:
javavalue
/
sel-11
javavalue
/
test-92
javavalue
/
elim-10
storefuns
/
instore-01
assoclist
/fieldinit/
in-append
storekey
/
sel-05
fieldspec
/
inj
assoclist
/fieldinit/
inone
store
/javastore/
notmemlookup
storefunsx
/
lookup-xtra
addfuns
/
is_valid_ref-notin-01
valuefuns
/
typeval-xtra
typefuns
/
le-04
addfuns
/
is_valid_ref-typeval
javavalue
/
test-19
javavalue
/
elim-13
storekey
/
test-05
storekey
/
elim-03
fieldspec
/
sel-03
okfuns
/
oktype-okval
fieldspec
/
elim
pair
/fieldinit/
sel-01
pair
/fieldinit/
sel-02
pair
/fieldinit/
elim
list
/fieldinit-assoclista/
a
okfuns
/
getvals-rec-01
list
/fieldinit-assoclista/
c
addfuns
/
validfieldinits-empty
okfuns
/
getvals-empty
assoclist
/fieldinit/
empty