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Theorem inv-evict
afs-cons(dirs, files), pre-evict(inode, dirs, files) ⊦ ⟪afs_evict#(inode, asynced; err, 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:
cache-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 38
Used lemmas:
afs-cons-reduce
,
evict
,
Used spec theorems:
afs-base
/
afs-cons
set-union
/dir-entries/
size-eq-ext
Used simplifier rules:
afs-pre
/
pre-evict
afs-pre
/
valid-wb-inode
afs-pre
/
valid-dir-inode
afs-base
/
valid-dir-ino
afs-pre
/
valid-file-inode
afs-base
/
valid-file-ino
inode
/
elim
abstract-file
/
elim
afs-base
/
afs-cons-pagesize
abstract-dir
/
elim
afs-base
/
links-deldir
set-basic
/alink-set/
Size-empty
set-basic
/alink-set/
size-zero-01
abstract-dir
/
sel-05
abstract-dir
/
sel-03
abstract-dir
/
sel-08
afs-base
/
subdirs
heap
/dir-heap/
in-del
heap
/dir-heap/
at-del
abstract-dir
/
sel-09
heap
/file-heap/
at-del
heap
/file-heap/
in-del
afs-base
/
afs-cons-root-dir
afs-base
/
valid-pagesize
afs-base
/
valid-ino
afs-base
/
dir-empty
abstract-file
/
sel-02
afs-base
/
afs-cons-links-empty
afs-base
/
afs-cons-notfile
afs-base
/
afs-cons-dir-nlink
store
/dir-entries/
Size-empty
store
/dir-entries/
In-empty
set-basic
/alink-set/
size-zero-02
afs-base
/
afs-cons-file-nlink
afs-base
/
links-nonempty