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Theorem junkrefs-put-refval-02
⊦ ¬ junkrefs(str, refs, ty, st) ∧ ¬ junkref(str, r0, st) ∧ mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type ∧ r ≠ jvmref ∧ r0 ≠ jvmref → ¬ junkrefs(str, refs, ty, st[r -- i ', refval(r0)])
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
junkref-put-refval-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 20
Proof steps: 49
Used lemmas:
junkrefs-sametype
,
junkref-def
,
junkref-noreftype
,
junkrefs-array
,
junkrefs-class
,
junkrefs-is-junk
,
junkrefs-null
,
junkrefs-empty
,
Used spec theorems:
addfuns
/
is-valid-ref-stronger-def
okfuns
/
is_array-put-01
okfuns
/
is_array-put-okval
typefuns
/
array-le
Used simplifier rules:
int-abs
/
lels-03
int-abs
/
lels-04
refkey
/
inj-01
store
/javastore/
At-other
javavalue
/
inj-03
store
/javastore/
At-same
oelem
/intlista/
lel
storekey
/
inj-04
refkey
/
inj
int-abs
/
forward-le-01
int-abs
/
forward-le-05
javastore
/
length-at
okfuns
/
is_array-type-01
typefuns
/
le-noreftype-01
valuefuns
/
okval-refval
typefuns
/
transitivity
int-abs
/
lels
int-abs
/
lels-01
javavalue
/
sel-09
fieldspec
/
sel-03
list
/references/
c-08
list
/references/
e
list
/references/
app-02-ant
javavalue
/
test-19
javavalue
/
elim-13
fieldspec
/
elim
list
/references/
e-01
list-data
/references/
elim-list-c
javastore
/
at-other
addfuns
/
is_obj-put-index
javastore
/
type-at
list
/references/
a
list
/references/
c