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Theorem orphans-del-file
⊦ ino ∈ files ∧ files[ino] = mkfile(n, md, 0, content) ∧ afs-cons(dirs, files) → orphans(dirs, files -- ino) = orphans(dirs, files) -- ino
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
afs-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas:
valid-ino
,
orphans
,
afs-cons-notfile
,
afs-cons-links-empty
,
afs-cons-file-nlink
,
Used spec theorems:
set-basic
/dir-heap-refset/
Extension
Used simplifier rules:
abstract-file
/
sel-02
set-basic
/alink-set/
size-zero-02
set-union
/dir-heap-refset/
Delete
heap
/file-heap/
in-del
abstract-file
/
elim
abstract-dir
/
elim