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Theorem fsync-inode-overwrite
valid-file-inode(inode, dirs, files), icache-cons(icache, dirs, files), files = files0, icache0 = icache ⊦ [cache_fsync-inode#(; inode, err, dirs, files, icache, asynced)] (err = ESUCCESS → files[inode.ino] = (files0 ⊕ icache0)[inode.ino])
Type: A user defined theorem
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: 9
Proof steps: 126
Used lemmas:
Used spec theorems:
cache-base
/
at-icache-overwrite
cache-base
/
icache-cons
Used simplifier rules:
inode
/
elim
abstract-file
/
elim
icache-entry
/
elim
icache-entry
/
inj
abstract-dir
/
elim
afs-base
/
getinode
afs-base
/
valid-inode
afs-base
/
valid-ino
heap
/file-heap/
overwrite
heap
/file-heap/
at-write
afs-base
/
valid-file-ino
afs-pre
/
valid-file-inode
afs-base
/
valid-dir-ino
afs-pre
/
valid-dir-inode
afs-pre
/
valid-wb-inode
afs-pre
/
pre-write-inode
abstract-file
/
upd-04
abstract-file
/
upd-06
abstract-file
/
inj
inode
/
sel-10
inode
/
sel-11
inode
/
sel-02
inode
/
sel-04
inode
/
sel-03
error-class
/
not-esuccess
error-class
/
esuccess
cache-base
/
at-icache-overwrite-no-file
abstract-file
/
sel-01
abstract-file
/
sel-06
abstract-file
/
sel-02
abstract-file
/
sel-07
icache-entry
/
sel-02
inode
/
sel-01
icache-entry
/
sel-01
inode
/
inj
cache-base
/
at-icache-overwrite-not-cached