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Theorem afs-cons-dir-nlink
⊦ afs-cons(dirs, files) ∧ ino ∈ dirs ∧ dirs[ino] = mkdir(n0, md, n, n1, entries) → # links(ino, dirs) = n
Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by:
afs-cons-in-next
,
afs-cons-links-empty
,
afs-cons-links-rmorphans
,
afs-cons-nlink0-empty
,
afs-cons-non0
,
orphans-del-dir
,
Used by units in proved state:
cache-asm
,
afs-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas:
valid-pagesize
,
valid-ino
,
dir-empty
,
afs-cons
,
Used spec theorems:
Used simplifier rules:
abstract-dir
/
sel-08
abstract-dir
/
sel-03
abstract-dir
/
sel-09
abstract-dir
/
sel-05