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Theorem pseq-sym-01
⊦ ¬ cyclic(str, r, st) ∧ ¬ cyclic(str, r1, st1) ∧ ¬ junkref(str, r, st) ∧ ¬ junkref(str, r1, st1) → (ps=(r, st, r1, st1) → ps=(r1, st1, r, st))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
pseq-sym
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 75
Proof steps: 153
Used lemmas:
maxpath-array
,
pseq-jvmref
,
maxpath-object
,
pseq-def
,
Used spec theorems:
cyclic
/
cyclic-class
addfuns
/
is_obj-field-norefval
junkrefs
/
junkref-class
okfuns
/
is_array-arraytype
addfuns
/
is_obj-field-noreftype
cyclic
/
cyclic-array
junkrefs
/
junkref-array
okfuns
/
is_array-norefval
junkrefs
/
junkref-is-junk
addfuns
/
is-valid-ref-stronger-def
addfuns
/
is_obj-arraytype
okfuns
/
is_array-noreftype
Used simplifier rules:
okfuns
/
is_array-norefval
okfuns
/
is_array-arraytype
addfuns
/
is_valid_ref-array-01
addfuns
/
is_valid_ref-01
int-abs
/
lels-03
int-abs
/
lels-04
int-abs
/
forward-le-01
int-abs
/
forward-le-05
javatype
/
diff-01
typefuns
/
le-noreftype-01
addfuns
/
isarray-isobj-01
addfuns
/
is_valid_ref-isobj
javavalue
/
refva-sel
addfuns
/
is_obj-field-norefval
addfuns
/
is_obj-arraytype
javatype
/
test-28
addfuns
/
is_valid_ref
okfuns
/
is_array-type-04
javatype
/
sel-02
nat
/
lels
valuefuns
/
refval-xtra
javavalue
/
sel-09
javavalue
/
test-19
javavalue
/
elim-13
javatype
/
test-10
javatype
/
elim-02
javatype
/
diff
cyclic
/
cyclic-not-null
junkrefs
/
junkref-null
int-abs
/
lels
int-abs
/
lels-01