[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem inv-read
of-cons(of, dirs, files), dom of < ino, afs-cons(dirs, files), n ≤ # buf ⊦ ⟪vfs_read#(fd, user, dirs, files, asynced; buf, n, err, of)⟫ (of-cons(of, dirs, files) ∧ dom of < ino)
Type: A proof obligation
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: 3
Proof steps: 49
Used lemmas:
of-cons-reduce
,
read-loop-term
,
read
,
Used spec theorems:
Used simplifier rules:
nat
/
le-ls-simp
file
/
elim
afs-pre
/
pre-iget
afs-base
/
valid-ino
inode
/
sel-03
abstract-file
/
elim
afs-base
/
afs-cons-file-nlink
inode
/
sel-01
nat
/
lep
nat
/
eq-01
file
/
sel
store
/open-files/
k-At-same
store
/open-files/
In-insert
store
/open-files/
At-other
store
/open-files/
in-neq
vfs-base
/
of-cons-file
store
/open-files/
At-same
file
/
inj
nat-basic
/
add-base
nat-basic
/
a
nat-basic
/
c
store+set
/open-files/
dom-ins
store+set
/open-files/
dom-add-in
file
/
sel-02
file
/
upd-03
store
/open-files/
ins
afs-base
/
getinode
vfs-base
/
of-cons-notdir
inode
/
sel-11
nat
/
le-def
error-class
/
not-esuccess
error-class
/
ecommit
store
/open-files/
notmemlookup