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Theorem afs-cons-rename-file-dentry

afs-cons(dirs, files), valid-dentry(old_parent_inode.ino, old_dent, dirs, files), valid-dir-inode(old_parent_inode, dirs, files), valid-dir-inode(new_parent_inode, dirs, files), valid-file-inode(old_child_inode, dirs, files), old_child_inode.ino = old_dent.ino, valid-dentry(new_parent_inode.ino, new_dent, dirs, files), valid-file-inode(new_child_inode, dirs, files), new_parent_inode.ino = old_parent_inode.ino → new_parent_inode.meta = old_parent_inode.meta, new_child_inode.ino = new_dent.ino ⊦ ⟪afs_rename#(; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, dirs, files; asynced)⟫ afs-cons(dirs, files)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: afs-cons-rename-dentry,
Used by units in proved state: cache-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 296
Used lemmas: Del-at-entries, afs-cons-reduce, internal-inode-sync, drop-nlink, renam,
Used spec theorems:
- store/dir-entries/Size-insert
- store/dir-entries/At-other
- afs-base/afs-cons
Used simplifier rules:
- dentry/elim
- inode/elim
- abstract-file/elim
- abstract-dir/elim
- nat/elim-pred-c
- abstract-dir/upd-03
- abstract-file/upd-07
- nat/lep
- nat-basic/oz
- nat/not-zero
- heap/dir-heap/overwrite-split
- afs-base/afs-cons-links-empty
- nat-basic/one
- set-basic/alink-set/size-zero-01
- set-basic/alink-set/size-zero
- afs-base/links-modmeta-write2
- nat/one-02
- nat-basic/nls-fst
- store/dir-entries/size-in
- store/dir-entries/size
- nat/pred-03
- afs-base/subdirs-del-entry
- afs-base/subdirs-putother
- afs-base/subdirs-write
- afs-base/subdirs-add-entry
- afs-base/links-del-entry
- afs-base/links-add-entry
- nat/add-01
- nat-basic/add-base
- nat-basic/eq-01
- set-basic/alink-set/eq
- alink/inj
- set-union/alink-set/Delete
- afs-asm/Insert-size
- set-union/alink-set/del-in
- nat-basic/eq-02
- afs-base/links
- alink/sel-02
- alink/sel-01
- afs-asm/Del-size
- set-basic/alink-set/size-zero-02
- afs-base/links-nonempty
- nat/eq-02
- store/dir-entries/Del-in
- store/dir-entries/Del-at
- nat-basic/z-01
- nat-basic/a
- nat-basic/c
- store/dir-entries/k-At-same
- store/dir-entries/In-insert
- store/dir-entries/insin
- store/dir-entries/At-same
- store/dir-entries/At-other
- store/dir-entries/in-neq
- nat-basic/one-01
- nat/le-def
- nat/ge
- store/dir-entries/empty
- abstract-dir/updsel-20
- abstract-dir/updsel-24
- abstract-dir/updsel-13
- store/dir-entries/ins
- store/dir-entries/del-put
- afs-base/getinode
- dentry/inj
- abstract-dir/updsel-09
- heap/dir-heap/write-again
- abstract-dir/upd-09
- heap/dir-heap/overwrite
- abstract-dir/upd-04
- abstract-file/upd-06
- abstract-file/upd-04
- afs-base/subdirs-modmeta
- heap/file-heap/in-write
- heap/dir-heap/at-write
- afs-base/links-modmeta
- afs-base/afs-cons-root-dir
- afs-base/valid-pagesize
- heap/file-heap/overwrite
- heap/file-heap/at-write
- abstract-dir/inj
- store/dir-entries/Size-empty
- store/dir-entries/In-empty
- abstract-file/inj
- afs-base/afs-cons-pagesize
- afs-base/afs-cons-in-next
- heap/dir-heap/in-write
- afs-base/afs-cons-file-nlink
- afs-base/afs-cons-dir-nlink
- error-class/ecommit
- afs-base/afs-cons-notfile
- abstract-dir/sel-08
- abstract-dir/sel-03
- abstract-dir/sel-05
- abstract-file/sel-02
- abstract-dir/sel-09
- inode/sel-02
- afs-base/dir-empty
- afs-base/valid-file-ino
- afs-pre/valid-file-inode
- inode/sel-03
- inode/sel-10
- inode/sel-11
- inode/sel-04
- afs-base/valid-dir-ino
- afs-pre/valid-dir-inode
- afs-pre/valid-wb-inode
- dentry/test-02
- afs-base/valid-ino
- dentry/sel-05
- afs-base/valid-dentry-with-parent
- dentry/test-03
- dentry/sel-04
- afs-base/valid-parent-ino
- afs-base/valid-negdentry
- inode/sel-01
- afs-pre/pre-rename