[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem junkrefs-put-nopathexplus-equiv
⊦ ¬ path∃+(str, r, r0, st) ∧ sk ≠ _type ∧ refs ≠ [] ∧ refs .first = r → (junkrefs(str, refs, ty, st[r0 -- sk, val]) ↔ junkrefs(str, refs, ty, st))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
junkref-put-nopathexplus-equiv
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 42
Proof steps: 100
Used lemmas:
validrefs-array
,
validrefs-null-02
,
validrefs-sametype
,
validrefs-superclass
,
validrefs-class
,
step-exists-def
,
validrefs-one
,
pathex-plus-def
,
pathexplus-pathex
,
junkrefs-put-nopathex
,
Used spec theorems:
junkrefs
/
junkrefs-null
addfuns
/
is-valid-ref-stronger-def
junkrefs
/
junkrefs-class
junkrefs
/
junkrefs-array
junkrefs
/
junkrefs-is-junk
Used simplifier rules:
javatype
/
test-09
javatype
/
elim-01
javatype
/
diff-01
okfuns
/
is_array-arraytype
typefuns
/
subbasic1
okfuns
/
is_array-classtype
okfuns
/
is_array-typele
addfuns
/
is_valid_ref-isarray
int-abs
/
lels-03
int-abs
/
lels-04
int-abs
/
lels
int-abs
/
lels-01
okfuns
/
is_array-put-01
int-abs
/
forward-le-01
int-abs
/
forward-le-05
junkrefs
/
junkrefs-null-02
list-last
/references/
l-05
typefuns
/
class-le
javatype
/
test-10
javatype
/
elim-02
javatype
/
diff
addfuns
/
is_obj-classtype
addfuns
/
is_obj-typele
addfuns
/
is_valid_ref-isobj
list-last
/references/
l
list
/references/
first
list
/references/
len
list
/references/
len-02
nat-basic2
/
s
nat-basic1
/
ref-1
nat-basic2
/
a
nat-basic2
/
c
javavalue
/
sel-09
fieldspec
/
sel-03
javastore
/
look-ins
addfuns
/
is_obj-put-01
javavalue
/
test-19
javavalue
/
elim-13
fieldspec
/
elim
javastore
/
at-other-16
addfuns
/
is_valid_ref-put-01
list
/references/
e
list
/references/
app-02-ant
list
/references/
c-08
list
/references/
a
list
/references/
e-01
list
/references/
c
list-data
/references/
elim-list-c