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Theorem unchanged-junkrefs-level
⊦ unchanged(str0, refs .first, st, st1) ∧ junkrefs(str, refs, ty, st) ∧ level⊆(str, str0) → junkrefs(str, refs, ty, st1)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
unchanged-junkref-level
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 45
Proof steps: 102
Used lemmas:
unchNorec-isvalidref-01
,
unchNorec-type-intro
,
unchanged-array-forward
,
unchNorec-isarray-01
,
unchNorec-isarray-02
,
unchanged-class-forward
,
unchNorec-def-keep
,
unchNorec-isobj-01
,
unchNorec-isobj-02
,
unchanged-def-keep
,
Used spec theorems:
addfuns
/
is-valid-ref-stronger-def
junkrefs
/
junkrefs-class
cyclic
/
pathex-class
junkrefs
/
junkrefs-array
junkrefs
/
junkrefs-is-junk
cyclic
/
pathex-array
junkrefs
/
is_valid_ref-levelsubset
Used simplifier rules:
cyclic
/
pathex-not-is-validref-02
addfuns
/
is_valid_ref-isarray
javatype
/
sel-01
junkrefs
/
levelsubset-is-array
javatype
/
test-09
javatype
/
elim-01
int-abs
/
lels-03
int-abs
/
forward-lels
javatype
/
diff-01
addfuns
/
is_valid_ref-array-01
addfuns
/
is_valid_ref-no-arraytype
okfuns
/
is_array-classtype
int-abs
/
lels-04
int-abs
/
forward-le-01
int-abs
/
forward-le-05
addfuns
/
is_valid_ref-isobj
cyclic
/
pathex-not-is-validref-01
javatype
/
sel-02
storekey
/
sel-05
junkrefs
/
levelsubset-is-obj
javavalue
/
sel-09
javatype
/
test-10
typefuns
/
class-le
addfuns
/
is_valid_ref-type-01
javatype
/
elim-02
javatype
/
diff
addfuns
/
is_obj-classtype
int-abs
/
lels
int-abs
/
lels-01
fieldspec
/
sel-03
javavalue
/
test-19
javavalue
/
elim-13
fieldspec
/
elim
list
/references/
e-01
list-data
/references/
elim-list-c
cyclic
/
pathex-one
junkrefs
/
junkrefs-null-02
list
/references/
a
list
/references/
c-08
list
/references/
c
junkrefs
/
junkrefs-empty