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Theorem write-loop-term
n0 + n ≤ n1, valid-file-inode(inode, dirs, files), n1 - n0 ≤ # buf, afs-cons(dirs, files) ⊦ ⟪vfs_write_loop#(n0, inode, n1, buf, dirs; n, err, files, asynced)⟫ valid-file-inode(inode, dirs, files)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
write-term
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 206
Used lemmas:
write-page
,
write-block
,
write-loop
,
Used spec theorems:
afs-asm
/
afs-cons-reduce
Used simplifier rules:
nat
/
let
nat
/
ls-03
afs-pre
/
valid-file-inode
inode
/
elim
abstract-file
/
elim
nat
/
elim-sub
afs-pre
/
pre-readpage
array
/buffer/
Size-mkarray
nat
/
ls-01
nat
/
lels
nat
/
le-add
heap
/file-heap/
at-write
heap
/file-heap/
in-write
afs-base
/
afs-cons-root-dir
afs-base
/
valid-pagesize
afs-base
/
valid-ino
afs-base
/
afs-cons-notfile
afs-base
/
dir-empty
abstract-dir
/
elim
afs-base
/
afs-cons-file-nlink
abstract-file
/
inj
nat-basic
/
l-02
error-class
/
not-esuccess
error
/
disj-91
error-class
/
ecommit
nat
/
le-def
nat
/
fle-01
nat-basic
/
f
nat-basic
/
l
min-max
/
min-notls1
nat-basic
/
lf-02
min-max
/
min-notls2
error-class
/
esuccess
afs-pre
/
pre-writepage
afs-base
/
valid-file-ino
abstract-file
/
upd-05
abstract-file
/
sel-01
inode
/
sel-01
store
/file-content/
At-other
store
/file-content/
in-neq
afs-base
/
afs-cons-pagesize
store
/file-content/
At-same
array-copy
/buffer/
size-copy
page
/
emptypage-size
nat
/
eq-01
nat
/
cancel-01
abstract-file
/
sel-02
nat-div
/
mod-le-02
nat-basic
/
c
nat-basic
/
a
nat
/
lep
nat
/
lep-02
nat
/
ge
page
/
page-size