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Theorem inv-link
afs-cons(dirs, files), pre-link(p_inode, c_inode, old_dent, new_dent, dirs, files) ⊦ ⟪afs_link#(old_dent; p_inode, c_inode, new_dent, err, dirs, files; asynced)⟫ afs-cons(dirs, files)
Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
cache-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 91
Used lemmas:
internal-inode-sync
,
afs-cons-reduce
,
afs-cons-inode-sync
,
inc-nlink
,
link
,
Used spec theorems:
Used simplifier rules:
dentry
/
elim
dentry
/
elim-02
inode
/
elim
abstract-file
/
elim
abstract-dir
/
elim
afs-base
/
getinode
abstract-dir
/
updsel-13
abstract-dir
/
upd-03
abstract-dir
/
upd-09
abstract-file
/
upd-07
afs-base
/
subdirs-inc-size
afs-base
/
links-modmeta
afs-base
/
links-add-entry
afs-base
/
afs-cons-root-dir
afs-base
/
valid-pagesize
afs-base
/
dir-empty
set-basic
/alink-set/
size-ins
afs-base
/
links
alink
/
sel-02
alink
/
sel-01
afs-base
/
afs-cons-pagesize
abstract-file
/
inj
afs-base
/
subdirs-putother
set-union
/dir-entries/
unc
set-union
/dir-entries/
una
set-union
/dir-entries/
une
nat-basic
/
c
nat-basic
/
a
nat-basic
/
eq-01
store
/dir-entries/
Size-insert
store
/dir-entries/
neq
set-union
/dir-entries/
One
set-union
/dir-entries/
diff-e
afs-base
/
subdirs-put
set-basic
/alink-set/
size-zero-01
nat
/
one-02
store
/dir-entries/
At-in-out
store
/dir-entries/
In-insert
store
/dir-entries/
k-At-same
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
/
afs-cons-in-next
heap
/file-heap/
in-write
afs-base
/
afs-cons-notfile
heap
/dir-heap/
in-write
afs-base
/
afs-cons-file-nlink
afs-base
/
afs-cons-dir-nlink
abstract-dir
/
inj
error-class
/
ecommit
abstract-file
/
sel-02
abstract-dir
/
sel-08
abstract-dir
/
sel-03
abstract-dir
/
sel-05
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
dentry
/
sel-03
afs-base
/
valid-negdentry
inode
/
sel-01
dentry
/
test-02
dentry
/
sel-04
afs-base
/
valid-ino
dentry
/
sel-05
afs-base
/
valid-parent-ino
afs-base
/
valid-dentry-with-parent
afs-base
/
valid-dentry-03
afs-pre
/
pre-link
abstract-dir
/
sel-09