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Theorem afs-cons-remove-orphans
⊦ afs-cons(dirs, files) → afs-cons(dirs \ orphans(dirs, files), files \ orphans(dirs, files))
Type: A user defined theorem
Validity: The proof is valid.
Features: lss, ss,
Comment:
Used by:
Used by units in proved state:
aubifs-refine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 18
Used lemmas:
Used spec theorems:
afs-base
/
afs-cons
afs-base
/
orphans
Used simplifier rules:
heap
/file-heap/
at-diffs
afs-base
/
subdirs-delete-orphans
heap
/file-heap/
in-diffs
heap
/dir-heap/
at-diffs
afs-base
/
afs-cons-links-rmorphans
afs-base
/
root-not-orphan
afs-base
/
afs-cons-root-dir
heap
/dir-heap/
in-diffs
abstract-file
/
elim
afs-base
/
afs-cons-pagesize
abstract-dir
/
elim
afs-base
/
afs-cons-file-nlink
afs-base
/
afs-cons-dir-nlink
afs-base
/
afs-cons-notfile
afs-base
/
valid-pagesize
afs-base
/
dir-empty
store
/dir-entries/
In-empty
store
/dir-entries/
Size-empty
abstract-dir
/
sel-05
abstract-dir
/
sel-09
abstract-dir
/
sel-03
abstract-dir
/
sel-08
afs-base
/
links-nonempty
afs-base
/
valid-ino