[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem inv-put-inode
afs-cons(dirs, files), of-cons(of, dirs, files), ¬ is-open(inode.ino, of) → pre-evict(inode, dirs, files) ⊦ ⟪vfs_put_inode#(inode, of, asynced; err, dirs, files)⟫ (afs-cons(dirs, files) ∧ of-cons(of, dirs, files))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
inv-close
,
inv-renam
,
inv-rmdir
,
inv-unlink
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 27
Used lemmas:
of-cons-reduce
,
put-inode
,
Used spec theorems:
afs-asm
/
inv-evict
vfs-base
/
is-open
Used simplifier rules:
inode
/
elim
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-pre
/
valid-wb-inode
afs-pre
/
pre-evict
inode
/
sel-01
abstract-file
/
elim
heap
/file-heap/
in-del
file
/
elim
abstract-file
/
sel-02
vfs-base
/
of-cons-file
afs-base
/
afs-cons-links-empty
afs-base
/
afs-cons-file-nlink
set-basic
/alink-set/
size-zero-02
vfs-base
/
of-cons-notdir
file
/
sel