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Theorem rename-precond-abs

⊦ dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(dirs, files) = abs-keys(ro) ∧ afs-cons(dirs, files) ∧ ro.inodes? ∧ file-node-cons(fs, ri) ∧ log-cons(log, fs) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ ri-inj(ri) ∧ ri-inj(fi) ∧ ubifs-cons(fs, ri, ro, fi, fo, log) ∧ pre-rename(old_parent_inode, old_dent, old_child_inode, new_parent_inode, new_dent, new_child_inode, dirs, files) → pre-rename(old_parent_inode, old_dent, old_child_inode, new_parent_inode, new_dent, new_child_inode, fs, ri, ro)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: refine-renam, refine-rename-new-keep-parent, refine-rename-new-reparent, refine-rename-overwrite-keep-parent-different, refine-rename-overwrite-keep-parent-identity, refine-rename-overwrite-reparent-dir, refine-rename-overwrite-reparent-file,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 33
Proof steps: 110
Used lemmas: afs-cons-abs-dir-subdirs, afs-cons-abs-dir-size,
Used spec theorems:
- set-basic/alink-set/size-one-03
- set-basic/alink-set/Extension
- set-basic/node-index/Extension
- aubifs-asm/elim-dentry
- afs-base/afs-cons
- aubifs-inv/file-node-cons
- store/dir-entries/Extension
- set-basic/stringset/Extension
Used simplifier rules:
- aubifs-inv/orphans
- set-union/node-index/One
- aubifs-pre/valid-dir-inode
- aubifs-base/valid-file-ino
- aubifs-pre/valid-file-inode
- aubifs-pre/valid-wb-inode
- aubifs-base/valid-ino
- aubifs-base/valid-dentry-with-parent
- aubifs-base/valid-dir-ino
- aubifs-base/valid-parent-ino
- aubifs-base/valid-negdentry-with-parent
- aubifs-pre/pre-rename
- afs-base/valid-file-ino
- afs-pre/valid-file-inode
- afs-base/valid-dir-ino
- afs-pre/valid-dir-inode
- afs-pre/valid-wb-inode
- afs-base/valid-dentry-with-parent
- afs-base/valid-parent-ino
- afs-base/valid-negdentry
- afs-pre/pre-rename
- aubifs-abs/abs-keys-orphans
- aubifs-abs/abs-orphans
- dentry/elim
- dentry/test-02
- inode/elim
- set-basic/alink-set/size-zero
- dentry/elim-02
- dentry/test-01
- aubifs-inv/datanode-pagesize
- aubifs-abs/at-content
- afs-base/valid-pagesize
- aubifs-abs/in-content
- abstract-file/sel-01
- afs-base/valid-ino
- abstract-file/sel-02
- aubifs-abs/file
- aubifs-abs/at-files
- abstract-dir/sel-08
- abstract-dir/sel-03
- abstract-dir/sel-05
- aubifs-abs/in-files
- afs-base/dir-empty
- store/dir-entries/In-empty
- set-basic/node-index/size-zero-01
- set-basic/node-index/size-zero
- set-basic/node-index/In-empty
- key/sel-04
- key/test-02
- aubifs-base/dentrykeys
- key/elim-03
- aubifs-inv/ubifs-parent-in
- abstract-dir/elim
- set-basic/alink-set/size-zero-02
- set-basic/alink-set/In-empty
- set-basic/alink-set/Size-empty
- set-basic/alink-set/ne
- set-basic/alink-set/size-one-01
- set-basic/alink-set/size-zero-01
- set-basic/alink-set/one-size
- set-basic/alink-set/in-04
- afs-base/links
- key/test-01
- set-basic/node-index/in-04
- aubifs-base/links
- alink/sel-02
- alink/sel-01
- alink/inj
- nat-basic/one-01
- nat/le-def
- nat/ge
- set-basic/stringset/In-empty
- aubifs-abs/at-children
- aubifs-abs/in-children
- abstract-dir/sel-09
- aubifs-abs/dir
- aubifs-abs/at-dirs
- aubifs-inv/ubifs-parent-dir
- aubifs-abs/in-dirs
- afs-base/subdirs