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Theorem refine-write-inode

pre-write-inode(inode, dirs, files), dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), orphans(dirs, files) = abs-keys(ro), asynced → boolvar, afs-cons(dirs, files), ubifs-cons(fs, ri, ro, fi, fo, log), replay-cons-strong(fs, ri, ro, fi, fo, log), file-node-cons(fs, ri), orphans-cons(fs, ri, ro), ri-inj(ri), ri-inj(fi), log-cons(log, fs), ro.inodes?, fo.inodes?, err = err0 ⊦ ⟪aubifs_write_inode#(inode, fi, ro, fo; err, ri, fs, log, boolvar)⟫ ⟨afs_write_inode#(inode; err0, dirs, files; asynced)⟩ ((dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(dirs, files) = abs-keys(ro) ∧ (asynced → boolvar)) ∧ err = err0)

Type: A proof obligation
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: 8
Proof steps: 237
Used lemmas: in-ri-dentry-inode, mkdir-inj, at-ri,
Used spec theorems:
- afs-asm/inv-write_inode
- aubifs-abs/at-files
- aubifs-abs/at-dirs
- set-basic/node-index/Extension
- aubifs-inv/file-node-cons
Used simplifier rules:
- aubifs-abs/abs-keys-orphans
- inode/elim
- list/address-list-set/Last
- node-store/in-insert
- aubifs-inv/inodekey-cons
- aubifs-inv/ubifs-adr-in-ri
- aubifs-asm/inode-ubifs-cons
- inode/sel-02
- node/elim-03
- node/test-06
- abstract-dir/upd-04
- heap/dir-heap/at-write
- heap/dir-heap/in-write
- node/sel-16
- aubifs-inv/ubifs-parent-in
- key/elim-01
- store/node-store/notmemlookup
- aubifs-inv/ri-cons-in
- abstract-file/upd-04
- aubifs-abs/D-ext
- aubifs-abs/at-children
- key/disj-02
- aubifs-abs/in-children
- aubifs-abs/C-ext
- store/node-store/At-other
- heap/file-heap/in-write
- aubifs-abs/F-ext
- store/node-index/insin
- node/sel-15
- node/sel-06
- node/sel-17
- node/sel-11
- aubifs-inv/ubifs-file-in
- aubifs-inv/ubifs-file-notdir
- aubifs-asm/at-fs
- aubifs-abs/at-content
- key/disj-01
- aubifs-abs/in-content
- aubifs-abs/P-ext
- aubifs-abs/F-inj
- key/inj-03
- aubifs-refine/in-insert-ri-equiv
- abstract-file/sel-02
- afs-base/valid-file-ino
- afs-pre/valid-file-inode
- abstract-dir/sel-08
- abstract-dir/sel-03
- abstract-dir/sel-05
- aubifs-abs/dir
- aubifs-abs/at-dirs
- aubifs-abs/in-dirs
- afs-base/valid-dir-ino
- afs-pre/valid-dir-inode
- afs-pre/valid-wb-inode
- afs-pre/pre-write-inode
- list-dup/address-list-set/c
- aubifs-base/new-one
- error-class/enospc
- error/disj-35
- heap/file-heap/overwrite
- abstract-file/upd-06
- aubifs-abs/file
- aubifs-abs/at-files
- aubifs-abs/in-files
- heap/file-heap/at-write
- error-class/not-esuccess
- aubifs-abs/abs-keys-orphans2
- aubifs-abs/abs-orphans
- error-class/ecommit
- aubifs-inv/ubifs-cons-ino0
- root-ino/neq-0
- aubifs-inv/inodenode-cons
- node/sel-05
- aubifs-inv/ubifs-ri-cons
- store/node-index/notmemlookup
- key/sel-04
- key/test-02
- aubifs-inv/orphans
- inode/sel-11
- aubifs-base/valid-dir-ino
- aubifs-pre/valid-dir-inode
- inode/sel-10
- inode/sel-04
- inode/sel-03
- aubifs-base/valid-file-ino
- inode/sel-01
- aubifs-pre/valid-file-inode
- aubifs-pre/pre-write-inode