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Theorem cyclic-pseq
⊦ ps=(r, st, r1, st1) ∧ ¬ junkref(str, r, st) ∧ ¬ junkref(str, r1, st1) ∧ ¬ cyclic(str, r1, st1) → ¬ cyclic(str, 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: 101
Proof steps: 202
Used lemmas:
maxpath-array
,
maxpath-object
,
pseq-def
,
Used spec theorems:
cyclic
/
validrefs-class
okfuns
/
is_array-arraytype
cyclic
/
cyclic-one
cyclic
/
validrefs-one
cyclic
/
validrefs-applast-class
addfuns
/
is_obj-field-norefval
cyclic
/
cyclic-class
junkrefs
/
junkref-class
junkrefs
/
junkref-is-junk
addfuns
/
is-valid-ref-stronger-def
addfuns
/
is_obj-arraytype
cyclic
/
cyclic-def-shortest
javavalue
/
refva-sel
cyclic
/
validrefs-array
cyclic
/
cyclic-def-simple
cyclic
/
validrefs-sametype
cyclic
/
validrefs-applast-array
cyclic
/
validrefs-is-junk
cyclic
/
cyclic-array
junkrefs
/
junkref-array
okfuns
/
is_array-norefval
cyclic
/
validrefs-primtype
Used simplifier rules:
okfuns
/
is_array-norefval
list
/references/
Last
list-dup
/references/
c
list
/references/
c-05
list
/references/
first-app
int-abs
/
lels-03
int-abs
/
lels-04
int-abs
/
forward-le-01
int-abs
/
forward-le-05
typefuns
/
ref
javatype
/
diff-01
okfuns
/
is_array-arraytype
okfuns
/
is_array-classtype
javavalue
/
refva-sel
addfuns
/
is_valid_ref-typeex
cyclic
/
validrefs-null-02
cyclic
/
validrefs-not
list
/references/
c-08
list
/references/
in-01
list-dup
/references/
f
list
/references/
c-03
list
/references/
in-06
list
/references/
first-01
typefuns
/
reftype-class
typefuns
/
class-le
junkrefs
/
junkref-null
javavalue
/
refval
typefuns
/
le-noreftype-01
typefuns
/
isreftype-04
valuefuns
/
refval-xtra
nat
/
lels
list-dup
/references/
e-01
list
/references/
first
javatype
/
sel-02
list
/references/
e
list
/references/
app-02-ant
addfuns
/
is_valid_ref-isobj
addfuns
/
is_obj-arraytype
addfuns
/
isarray-isobj-01
addfuns
/
is_valid_ref
classnamefuns
/
le-reflexive
typefuns
/
subclass
list-dup
/references/
dups-cons
list
/references/
in-17
list
/references/
in-append
list
/references/
e-01
list
/references/
c
list
/references/
Nil
list
/references/
a
list
/references/
in-empty
list-data
/references/
elim-list
javatype
/
test-10
javatype
/
elim-02
javatype
/
diff
addfuns
/
is_obj-classtype
cyclic
/
cyclic-not-null
int-abs
/
lels
int-abs
/
lels-01