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Theorem sharing-pathex-field-self-01
⊦ r ≠ jvmref ∧ is_classtype(st[r -- _type] .type) ∧ fs ' ∈ instfields(st[r -- _type] .type .class) ∧ path∃(str, st[r -- fs '] .refval, r, st) → hasSharing(r, st)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 24
Proof steps: 53
Used lemmas:
fits-append
,
ex-validrefs-fits-stronger
,
fits-storekeys-one
,
fits-storekeys-rec
,
hasSharing-def
,
Used spec theorems:
cyclic
/
pathex-def
cyclic
/
validrefs-one
storefuns
/
lookup-two
list-del
/references/
get-last2
storefuns
/
lookup-append
storefuns
/
lookup-rec-01
Used simplifier rules:
list
/storekeys/
e-01
storefuns
/
lookup-empty
javavalue
/
inj-03
list-data
/storekeys/
size-01
javatype
/
sel-02
javatype
/
test-28
storekey
/
test-07
list
/storekeys/
app-04
list
/storekeys/
app-01
list
/storekeys/
c
list-del
/storekeys/
first-all-01
nat-basic1
/
ref-1
list-data
/references/
l
nat
/
lels-01
nat-basic1
/
z
list
/references/
c-08
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
eq-01
list
/references/
len-02
list
/references/
len
list
/references/
app-02-ant
list
/references/
e
cyclic
/
validrefs-null-02
javatype
/
test-10
javatype
/
elim-02
list-last
/references/
l-02
javatype
/
diff
javavalue
/
sel-09
storefuns
/
lookup-one
list
/storekeys/
app-02-ant
list
/storekeys/
e
list
/storekeys/
a
list
/storekeys/
c-03
list
/storekeys/
Two
addfuns
/
is_valid_ref-type
javavalue
/
test-19
valuefuns
/
refval-xtra
javavalue
/
elim-refval
list-last
/references/
l
list
/references/
app
list
/references/
a
list
/references/
e-01
list
/references/
c
list-data
/references/
elim-list-c