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Theorem truncate-empty
afs-cons(dirs, files), inode = mkinode(ino, md, false, m, n0, n), pageno = inode.size / VFS_PAGE_SIZE, buf-opt.none? ⊦ [afs_truncate#(n, pageno; buf-opt, inode, bv, err, dirs, files, asynced)] (err = ESUCCESS → files[ino].content.stream from n = σ⊥)
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: 23
Proof steps: 122
Used lemmas:
Used spec theorems:
afs-stream
/
content-write
afs-stream
/
fill-stream-append
afs-stream
/
at-content-stream
stream
/buffer-inf/
append-assoc
stream
/buffer-inf/
from-append-tofrom
stream
/buffer-inf/
swap-from-to
stream
/buffer-inf/
to-append-add
stream
/buffer-inf/
append-to-ls
stream
/buffer-inf/
swap-to-from-app
buffer-inf-conv
/
emptystream-cancel
afs-stream
/
content-trunc
afs-stream
/
content-trunc-exact
stream
/buffer-inf/
append-from-ge-02
stream
/buffer-inf/
from-append-add
stream
/buffer-inf/
extensionality
stream
/buffer-inf/
inf-size-from
stream
/buffer-inf/
get-from
stream
/buffer-inf/
get-append-ls
Used simplifier rules:
buffer-option
/
ex-01
inode
/
sel-03
inode
/
sel-10
inode
/
sel-04
afs-base
/
valid-file-ino
afs-pre
/
valid-file-inode
afs-pre
/
pre-truncate
abstract-file
/
elim
inode
/
elim
inode
/
inj
nat
/
le
nat-div
/
mod-le-02
abstract-file
/
upd-06
inode
/
sel-02
heap
/file-heap/
overwrite
abstract-file
/
upd-04
nat-div
/
div-elim
array-copy
/buffer/
size-fill-h
buffer-inf-conv
/
tostream-size
buffer-inf-conv
/
finp-buf
nat
/
le-def
nat-basic
/
lf
nat-basic
/
trans
nat-basic
/
ls-02
stream
/buffer-inf/
to-to-ls
afs-base
/
afs-cons-pagesize
nat
/
prop-07
nat
/
elim-sub
nat-basic
/
lf-01
nat-basic
/
eqs
nat
/
lels-03
stream
/buffer-inf/
fin-to
nat-inf
/
inj
stream
/buffer-inf/
to-to-eq
nat-inf
/
add-ls-cancel-01
nat-inf
/
ls-natinf-to-nat-1-2
nat-basic
/
l-01
afs-stream
/
stream-size-from
stream
/buffer-inf/
empty-append
stream
/buffer-inf/
to-zero
nat
/
cancel-01
nat
/
lep-02
afs-base
/
afs-cons-notfile
heap
/file-heap/
at-write
heap
/file-heap/
in-write
afs-base
/
afs-cons-nlink0-notin
set-basic
/alink-set/
Size-empty
abstract-file
/
upd-05
abstract-file
/
sel-01
afs-base
/
getinode
inode
/
upd-11
buffer-option
/
test-03
min-max
/
min-same
inode
/
sel-11
inode
/
sel-01
nat-basic
/
f
nat-basic
/
add-base
nat-basic
/
zero
nat-basic
/
lf-02
nat-inf
/
less-fin
nat
/
lels
nat
/
ler
nat
/
zero
buffer-inf-conv
/
from-emptystream
nat-basic
/
ref
nat-inf
/
zerols-neqzero
nat
/
ge
afs-stream
/
stream-split-lastpage
nat-mult
/
mult-a
nat-mult
/
rsucc-02
nat-mult
/
mult-c
afs-stream
/
stream-size
stream
/buffer-inf/
less-size-from
nat-inf
/
less-inf2
nat-inf
/
disj
nat-inf
/
addeqinf-cancel
nat-inf
/
inf-less
nat-inf
/
add-inf2
stream
/buffer-inf/
size-append
nat-inf
/
add-fin
nat-basic
/
a
nat-basic
/
c
afs-stream
/
zerostream-size
nat-inf
/
less-inf1
stream
/buffer-inf/
size-to
nat-inf
/
ls-natinf-to-nat-2-1
nat-inf
/
add-assoc
nat-inf
/
add-comm
stream
/buffer-inf/
get-to
buffer-inf-conv
/
at-emptystream
stream
/buffer-inf/
get-append-notls
nat-inf
/
sel
stream
/buffer-inf/
append-assoc
abstract-file
/
inj
afs-base
/
afs-cons-file-nlink
page
/
page-size
error-class
/
esuccess