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Theorem validrefs-put-last
⊦ ¬ validrefs(str, refs + r0 ', ty, st) ∧ ¬ junkref(str, refs .first, st) ∧ refs ≠ [] ∧ ¬ r0 ∈ refs ∧ sk ≠ _type → ¬ validrefs(str, refs + r0 ', ty, st[r0 -- sk, val])
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
pathex-put-last
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 24
Proof steps: 58
Used lemmas:
validrefs-array
,
validrefs-null-01
,
validrefs-one
,
validrefs-class
,
validrefs-null-02
,
validrefs-is-junk
,
Used spec theorems:
addfuns
/
is-valid-ref-stronger-def
junkrefs
/
junkref-class
junkrefs
/
junkref-array
Used simplifier rules:
list
/references/
in-01
list-last
/references/
lin-01
list
/references/
inapp-10
list-last
/references/
lapp-04
list
/references/
ni
list
/references/
in-11
list
/references/
in-12
int-abs
/
lels-03
int-abs
/
lels-04
int-abs
/
lels
int-abs
/
lels-01
int-abs
/
forward-le-01
int-abs
/
forward-le-05
okfuns
/
is_array-put-01
junkrefs
/
junkref-null
list
/references/
c-06
list
/references/
inapp-08
junkrefs
/
junkref-not-valid-01
list
/references/
app
list
/references/
in-empty
list
/references/
c-03
list
/references/
Nil
javavalue
/
sel-09
fieldspec
/
sel-03
javavalue
/
test-19
javavalue
/
elim-13
list
/references/
in-17
list
/references/
in-append
list
/references/
in-14
list
/references/
in-15
list
/references/
e-02
list-data
/references/
elim-list-c
fieldspec
/
elim
javastore
/
look-ins
addfuns
/
is_obj-put-01
list
/references/
e
list
/references/
app-02-ant
javastore
/
at-other-16
addfuns
/
is_valid_ref-put-01
list
/references/
c-08
list
/references/
in-06
list
/references/
a
list
/references/
e-01
list
/references/
c