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Theorem inv-link
of-cons(of, dirs, files), afs-cons(dirs, files) ⊦ ⟪vfs_link#(p, p0, user; err, dirs, files, asynced)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))
Type: A proof obligation
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: 10
Proof steps: 334
Used lemmas:
of-cons-reduce
,
may-create
,
walk-prepost
,
may-link
,
walk-prepost-parent
,
link
,
Used spec theorems:
afs-asm
/
inv-iget
afs-asm
/
inv-link
Used simplifier rules:
list
/path/
Last
list
/path/
app-02
list
/path/
e
list-last
/path/
last-def
error
/
disj-31
abstract-dir
/
elim
error
/
disj-32
error
/
disj-29
abstract-file
/
elim
error
/
disj-34
error
/
disj-33
abstract-file
/
sel-06
abstract-file
/
sel-07
error-class
/
esuccess
abstract-dir
/
sel-08
abstract-dir
/
sel-03
abstract-dir
/
sel-09
abstract-file
/
inj
afs-base
/
afs-cons-file-nlink
afs-base
/
afs-cons-dir-nlink
afs-base
/
getinode
abstract-dir
/
updsel-13
abstract-dir
/
upd-03
abstract-dir
/
upd-09
abstract-dir
/
inj
abstract-file
/
upd-07
abstract-file
/
sel-02
heap
/dir-heap/
overwrite
abstract-dir
/
upd-04
heap
/file-heap/
at-write
abstract-file
/
upd-04
abstract-file
/
upd-06
heap
/file-heap/
overwrite
heap
/dir-heap/
at-write
inode
/
sel-02
afs-base
/
path-in-dirs
heap
/dir-heap/
in-write
heap
/file-heap/
in-write
afs-base
/
valid-file-ino
afs-pre
/
valid-file-inode
inode
/
sel-03
inode
/
sel-10
inode
/
sel-11
inode
/
sel-04
afs-base
/
valid-dir-ino
afs-pre
/
valid-dir-inode
afs-base
/
links-nonempty
dentry
/
test-01
afs-base
/
valid-negdentry
inode
/
sel-01
dentry
/
sel-04
afs-base
/
valid-dentry-with-parent
afs-base
/
valid-dentry-03
afs-pre
/
pre-link
error-class
/
not-esuccess
error
/
disj-91
error-class
/
enoent
error-class
/
ecommit
list-last
/path/
b-01
list
/path/
c
list
/path/
c-03
list
/path/
e-01
list
/path/
app
list-last
/path/
butlast-one
list-data
/path/
elim-list-c
afs-base
/
path-in-end
afs-base
/
afs-cons-in-next
afs-pre
/
pre-iget
dentry
/
sel-05
dentry
/
test-02
dentry
/
sel-03
afs-base
/
valid-ino
afs-base
/
path-here
path-permission
/vfs-permission/
px-parent-eps
afs-base
/
afs-cons-root-notfile
afs-base
/
afs-cons-root-dir
afs-base
/
path-links-empty
abstract-dir
/
sel-05
afs-base
/
afs-cons-notfile
afs-base
/
afs-cons-links-empty
afs-base
/
valid-parent-ino
afs-pre
/
pre-lookup
list
/path/
e-02
list
/path/
a