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Theorem inv-truncate
afs-cons(dirs, files), pre-truncate(inode, n, pageno, buf-opt, dirs, files) ⊦ ⟪afs_truncate#(n, pageno; buf-opt, inode, asynced, err, dirs, files, asynced0)⟫ afs-cons(dirs, files)
Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
cache-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 118
Used lemmas:
internal-inode-sync
,
afs-cons-reduce
,
afs-cons-inode-sync
,
truncate-internal
,
truncate
,
Used spec theorems:
store
/file-content/
At-other
Used simplifier rules:
inode
/
elim
abstract-file
/
elim
nat-basic
/
lf-02
nat-basic
/
lf-01
nat-basic
/
ls-02
nat
/
elim-sub
heap
/file-heap/
at-write
afs-base
/
afs-cons-root-dir
afs-base
/
valid-pagesize
afs-base
/
valid-ino
afs-base
/
dir-empty
abstract-dir
/
elim
nat
/
fle
store
/file-content/
in-neq
store
/file-content/
At-same
array-copy
/buffer/
size-fill-h
afs-base
/
afs-cons-notfile
heap
/file-heap/
in-write
nat
/
le-def
nat-basic
/
ref
nat
/
ler
min-max
/
min-comm
min-max
/
min-le-left
nat-basic
/
c
nat-basic
/
a
nat
/
lep-02
nat
/
le
nat-div
/
mod-le-02
nat
/
ge
abstract-file
/
upd-05
abstract-file
/
sel-01
afs-base
/
getinode
inode
/
upd-11
abstract-file
/
inj
afs-base
/
afs-cons-pagesize
afs-base
/
afs-cons-file-nlink
afs-base
/
in-upto
nat-mult
/
mult-a
nat-mult
/
mult-c
afs-base
/
at-upto
nat-basic
/
f
error-class
/
ecommit
abstract-file
/
sel-02
inode
/
sel-11
inode
/
sel-03
inode
/
sel-10
inode
/
sel-04
afs-base
/
valid-file-ino
inode
/
sel-01
afs-pre
/
valid-file-inode
afs-pre
/
pre-truncate
page
/
page-size