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Theorem fits-subset
⊦ ¬ junkref(str, r, st0) ∧ fits(r, sks, st) ∧ st0 ⊆ st → fits(r, sks, st0)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
fits-subset-01
,
hasSharing-subset
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 20
Proof steps: 46
Used lemmas:
fits-storekeys-rec
,
fits-storekeys-empty
,
Used spec theorems:
junkrefs
/
junkref-is-junk
addfuns
/
is-valid-ref-stronger-def
addfuns
/
is_obj-notin-01
junkrefs
/
junkref-class
storekey
/
ex-04
store
/javastore/
superset-elem-eq
junkrefs
/
junkref-array
Used simplifier rules:
javatype
/
test-09
javatype
/
elim-01
okfuns
/
is_array-notin-01
int-abs
/
forward-lels
int-abs
/
lels-03
okfuns
/
is_array-lenfield
storekey
/
test-08
storekey
/
elim-04
int-abs
/
forward-le-01
int-abs
/
forward-le-05
int-abs
/
lels-04
storekey
/
test-02
javatype
/
diff-01
okfuns
/
is_array-arraytype
okfuns
/
is_array-classtype
okfuns
/
is_array-type-02
addfuns
/
instfields-index
storekey
/
test-01
storekey
/
test-05
junkrefs
/
junkref-null
storekey
/
elim-03
fieldspec
/
elim
javavalue
/
sel-09
javatype
/
sel-02
javavalue
/
test-02
storefunsx
/
lookup-xtra
store
/javastore/
notmemlookup
javatype
/
test-10
javatype
/
elim-02
storefuns
/
instore-01
javatype
/
diff
addfuns
/
is_obj-classtype
addfuns
/
is_obj-type
int-abs
/
lels
int-abs
/
lels-01
storekey
/
test
javavalue
/
test-19
javavalue
/
elim-13
list
/storekeys/
c