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Theorem overwrite-write-inode-dirty
⊦ ino ∈ files ∧ ino ∈ icache ∧ ¬ icache[ino].inode.directory → ((files ⊕ pcache) ⊕ icache)[ino, (((files ⊕ pcache) ⊕ icache)[ino].meta:= md).size:= m] = (files ⊕ pcache) ⊕ icache[ino, mkientry(true, (icache[ino].inode.meta:= md).size:= m)]
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: 5
Proof steps: 28
Used lemmas:
at-icache-overwrite-not-cached
,
at-icache-overwrite-no-file
,
at-pcache-overwrite
,
at-icache-overwrite
,
in-pcache-overwrite
,
in-icache-overwrite
,
Used spec theorems:
heap
/file-heap/
ext
Used simplifier rules:
icache-entry
/
elim
heap
/file-heap/
at-write
heap
/file-heap/
in-write
inode
/
updsel-12
inode
/
updsel-31
store
/icache/
insin
inode
/
updsel-17
inode
/
updsel-33
inode
/
updsel-07
inode
/
updsel-29
inode
/
updsel-41
store
/icache/
At-same
inode
/
elim
abstract-file
/
elim
abstract-file
/
upd-06
abstract-file
/
upd-04
inode
/
sel-04
store
/icache/
in-neq
store
/icache/
At-other
icache-entry
/
sel-01
inode
/
sel-03
store
/icache/
In-insert
abstract-file
/
sel-06
abstract-file
/
sel-07
abstract-file
/
sel-02
abstract-file
/
sel-01