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Theorem pseq-subset
⊦ ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ∧ ¬ junkref(str, r1, st1) ∧ ¬ cyclic(str, r1, st1) ∧ ps=(r, st, r1, st1) ∧ st ⊆ st2 → ps=(r, st2, r1, st1)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
pseq-subset-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 85
Proof steps: 168
Used lemmas:
pseq-jvmref
,
maxpath-array
,
maxpath-object
,
pseq-def
,
Used spec theorems:
addfuns
/
is_obj-field-noreftype
cyclic
/
cyclic-class
addfuns
/
is_obj-field-norefval
junkrefs
/
junkref-class
addfuns
/
is_obj-field-in
okfuns
/
is_array-arraytype
addfuns
/
is_obj-notin-01
junkrefs
/
junkref-is-junk
addfuns
/
is-valid-ref-stronger-def
addfuns
/
is_obj-classtype
store
/javastore/
Subset
cyclic
/
cyclic-array
junkrefs
/
junkref-array
javavalue
/
refva-sel
okfuns
/
is_array-noreftype
okfuns
/
is_array-notin-01
Used simplifier rules:
okfuns
/
is_array-lenfield
okfuns
/
is_array-noreftype
typefuns
/
le-noreftype-01
okfuns
/
is_array-norefval
valuefuns
/
refval-xtra
javavalue
/
refva-sel
int-abs
/
forward-lels
int-abs
/
forward-le
int-abs
/
forward-lsle
int-basic1
/
irref
int-abs
/
lels-03
int-abs
/
lels-04
int-abs
/
forward-le-01
int-abs
/
forward-le-05
okfuns
/
is_array-classtype
addfuns
/
is_valid_ref-array-01
javatype
/
diff-01
typefuns
/
subclass
classnamefuns
/
le-reflexive
junkrefs
/
junkref-null
cyclic
/
cyclic-not-null
addfuns
/
is_obj-field-norefval
javatype
/
sel-02
nat
/
lels
javavalue
/
sel-09
javavalue
/
test-02
javatype
/
test-28
addfuns
/
is_obj-arraytype
okfuns
/
is_array-type-04
javavalue
/
test-19
javavalue
/
elim-13
javatype
/
test-10
javatype
/
elim-02
javatype
/
diff
storefuns
/
instore-01
junkrefs
/
junkref-keyin
storefunsx
/
lookup-xtra
store
/javastore/
notmemlookup
int-abs
/
lels
int-abs
/
lels-01