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Theorem fsync-pages-others-unchanged
files = files0, pcache0 = pcache ⊦ [cache_fsync-pages#(inode, dirs; err, files, pcache, asynced)] ∀ ino. ino ≠ inode.ino ∧ ino ∈ files0 → ino ∈ files ∧ (files ⊕ pcache)[ino] = (files0 ⊕ pcache0)[ino]
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
fsync-others-unchanged
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 22
Proof steps: 139
Used lemmas:
Used spec theorems:
store
/file-content/
k-Extension
store
/pcache/
At-other
cache-base
/
at-overwrite-content-old
cache-base
/
at-overwrite-content-new
Used simplifier rules:
inode
/
elim
nat-basic
/
f
pcache-entry
/
elim
heap
/file-heap/
in-write
heap
/file-heap/
at-write
abstract-file
/
elim
abstract-file
/
upd-05
error-class
/
esuccess
store
/pcache/
In-insert
key
/
inj-02
store
/pcache/
in-neq
cache-base
/
at-mkcontent
cache-base
/
at-overwrite-content-new
cache-base
/
in-mkcontent
cache-base
/
at-overwrite-content-old
cache-base
/
in-overwrite-content
store
/pcache/
notmemlookup
error-class
/
not-esuccess
abstract-file
/
inj
abstract-file
/
sel-01
abstract-file
/
sel-02
abstract-file
/
sel-07
abstract-file
/
sel-06
pcache-entry
/
sel-01
afs-base
/
valid-file-ino
inode
/
sel-01
afs-pre
/
pre-writepage
inode
/
sel-11
cache-base
/
at-pcache-overwrite