[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 readpage-prepost
afs-cons(dirs, files), ((inode.ino =>mkfile(n0, md, m, σ) * F))(files) ⊦ [afs_readpage#(inode, n, dirs, files, asynced; buf, err)] (err = ESUCCESS ∧ ⌜buf⌝ = (σ from n * VFS_PAGE_SIZE) to VFS_PAGE_SIZE ∨ ⌊err⌋ )
Type: A user defined theorem
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: 14
Proof steps: 48
Used lemmas:
mkfile-stream
,
Used spec theorems:
maplet
/file-heap/
map-del
stream
/buffer-inf/
extensionality
buffer-inf-conv
/
tostream-at
stream
/buffer-inf/
get-from
afs-stream
/
getbyte
afs-stream
/
getpage
Used simplifier rules:
inode
/
elim
abstract-file
/
elim
afs-base
/
afs-cons-file-nlink
maplet
/file-heap/
map-in
abstract-file
/
inj
maplet
/file-heap/
at-eq
heap-sep
/file-heap/
sep-com
heap-sep
/file-heap/
sep-ass
afs-base
/
afs-cons-pagesize
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-inf
/
disj
nat-inf
/
addeqinf-cancel
nat-inf
/
inf-less
afs-stream
/
stream-size
afs-stream
/
stream-at
nat-div
/
mod-eq
nat-div
/
mod-mult
nat-mult
/
mult-c
nat-mult
/
mult-a
nat-basic
/
c
nat-basic
/
a
nat-basic
/
add-base
nat-div
/
zero-01
nat-div
/
mult
error-class
/
esuccess
page
/
page-size
nat-basic
/
lf-01
nat-basic
/
f
stream
/buffer-inf/
get-to
nat-inf
/
less-fin
nat-inf
/
inj
stream
/buffer-inf/
size-to
nat-inf
/
less-inf1
afs-stream
/
stream-size-from
buffer-inf-conv
/
tostream-size
nat
/
lels
nat
/
ls-le-simp
page
/
emptypage-size
page
/
emptypage-at
afs-base
/
valid-file-ino
inode
/
sel-01
afs-pre
/
pre-readpage