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Theorem inv-rmdir
of-cons(of, dirs, files), dom of < ino, afs-cons(dirs, files) ⊦ ⟪vfs_rmdir#(p, user, of; 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: 305
Used lemmas:
put-inode
,
of-cons-reduce
,
inv-put-inode
,
may-delete
,
may-delete-check
,
walk-prepost-parent
,
rmdir
,
Used spec theorems:
afs-asm
/
inv-rmdir
afs-base
/
afs-cons
Used simplifier rules:
list
/path/
Last
list
/path/
app-02
list
/path/
e
list-last
/path/
last-def
error
/
disj-31
error
/
disj-29
abstract-dir
/
elim
error
/
disj-55
store
/dir-entries/
notmemlookup
error-class
/
esuccess
afs-base
/
valid-pagesize
abstract-dir
/
sel-09
store
/dir-entries/
empty
afs-base
/
dir-empty
afs-base
/
valid-dentry-with-parent
afs-pre
/
pre-rmdir
abstract-dir
/
updsel-24
abstract-dir
/
updsel-20
abstract-dir
/
updsel-13
dentry
/
sel-04
abstract-dir
/
upd-08
abstract-dir
/
upd-03
abstract-dir
/
upd-09
nat
/
ge
abstract-dir
/
upd-05
heap
/file-heap/
at-write
heap
/file-heap/
overwrite
heap
/dir-heap/
overwrite-split
inode
/
sel-02
heap
/dir-heap/
overwrite
afs-base
/
links-nonempty
set-basic
/alink-set/
size-zero
abstract-dir
/
inj
nat
/
elim-pred-c
nat
/
lep
nat-basic
/
c
nat-basic
/
a
nat-basic
/
oz
nat
/
not-zero
afs-base
/
afs-cons-dir-nlink
heap
/dir-heap/
at-write
abstract-dir
/
sel-04
abstract-dir
/
sel-08
abstract-dir
/
sel-03
vfs-base
/
dir-not-open
afs-pre
/
pre-evict
afs-pre
/
valid-wb-inode
afs-pre
/
valid-dir-inode
afs-base
/
valid-dir-ino
inode
/
sel-04
inode
/
sel-11
inode
/
sel-10
inode
/
sel-03
abstract-dir
/
upd-04
heap
/dir-heap/
in-write
inode
/
sel-01
error-class
/
not-esuccess
error
/
disj-91
afs-base
/
getinode
error-class
/
ecommit
afs-base
/
afs-cons-in-next
dentry
/
sel-05
dentry
/
test-02
error
/
disj-33
dentry
/
sel-03
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
afs-base
/
path-in-end
afs-base
/
valid-ino
afs-pre
/
pre-iget
list
/path/
e-02
list
/path/
a