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Theorem write-term
of-cons(of, dirs, files), afs-cons(dirs, files), dirs0 = dirs, n ≤ # buf ⊦ ⟪vfs_write#(fd, buf, user; n, err, of, dirs, files, asynced)⟫ (dirs0 = dirs)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
inv-write
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 277
Used lemmas:
write-loop-term
,
write
,
Used spec theorems:
afs-asm
/
inv-truncate
Used simplifier rules:
nat
/
le-ls-simp
store
/open-files/
notmemlookup
file
/
elim
afs-pre
/
pre-iget
afs-base
/
valid-ino
abstract-file
/
elim
afs-pre
/
pre-truncate
nat
/
lep-02
nat
/
le
nat
/
elim-sub
nat-div
/
mod-le-02
afs-base
/
afs-cons-file-nlink
inode
/
elim
inode
/
inj
abstract-file
/
inj
afs-base
/
valid-dir-ino
afs-pre
/
valid-dir-inode
afs-pre
/
valid-wb-inode
afs-pre
/
pre-write-inode
error-class
/
not-esuccess
nat
/
ge
error
/
disj-91
error-class
/
ecommit
nat-basic
/
ls-02
nat-basic
/
lf-01
nat-basic
/
lf-02
nat
/
le-def
afs-base
/
afs-cons-pagesize
heap
/dir-heap/
in-write
abstract-file
/
upd-05
abstract-file
/
sel-01
afs-base
/
getinode
buffer-option
/
test-03
nat
/
ler
page
/
page-size
min-max
/
min-same
inode
/
upd-11
abstract-file
/
sel-06
abstract-file
/
sel-07
vfs-base
/
of-cons-notdir
abstract-file
/
upd-06
inode
/
sel-02
heap
/file-heap/
overwrite
abstract-file
/
upd-04
inode
/
sel-11
vfs-base
/
of-cons-file
inode
/
sel-03
inode
/
sel-10
abstract-file
/
sel-02
heap
/file-heap/
at-write
inode
/
sel-04
heap
/file-heap/
in-write
afs-base
/
valid-file-ino
inode
/
sel-01
afs-pre
/
valid-file-inode
nat
/
lep
nat-basic
/
add-base
nat-basic
/
c
nat-basic
/
a
nat
/
eq-01
nat-basic
/
f
error-class
/
esuccess