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Theorem walk-term
ino ∈ dirs, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO, afs-cons(dirs, files) ⊦ ⟪vfs_walk#(p, user, dirs, files, asynced; ino, err)⟫ true
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
walk-prepost
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 84
Used lemmas:
may-lookup
,
walk
,
Used spec theorems:
Used simplifier rules:
afs-pre
/
pre-iget
afs-base
/
valid-ino
set-basic
/alink-set/
size-zero
set-basic
/alink-set/
size-zero-01
afs-base
/
afs-cons-root-notfile
error
/
disj-29
inode
/
sel-02
inode
/
sel-03
afs-base
/
getinode
abstract-dir
/
elim
afs-base
/
afs-cons-dir-nlink
list-data
/path/
elim-list-c
afs-pre
/
pre-lookup
afs-base
/
valid-parent-ino
list
/path/
app-02
list
/path/
e
dentry
/
test-02
dentry
/
sel-05
list
/path/
c-07
afs-base
/
links-nonempty
afs-base
/
afs-cons-in-next
list
/path/
c
list
/path/
len-05
nat-basic
/
succ
nat-basic
/
s-04
oelem
/nat-set/
irreflexivity
nat-basic
/
a
nat-basic
/
c
abstract-dir
/
sel-09
dentry
/
sel-03
error
/
disj-33
list
/path/
in-rec
list
/path/
in-14
list
/path/
e-01
list
/path/
a
error-class
/
not-esuccess
error-class
/
ecommit