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Theorem valid-parent-ino-precond

⊦ afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)) ∧ fs[ri[inodekey(m)]].directory ∧ inodekey(m) ∈ ri ∧ fo.inodes? ∧ ro.inodes? ∧ log-cons(log, fs) ∧ ri-inj(fi) ∧ ri-inj(ri) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ ubifs-cons(fs, ri, ro, fi, fo, log) ∧ abs-keys(ro) = abs-keys(orphans(fs, ri)) ∧ (links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO) → valid-parent-ino(m, fs, ri, ro)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: refine-create, refine-link, refine-lookup, refine-mkdir, refine-rmdir, refine-unlink,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 19
Used lemmas:
Used spec theorems:
- afs-base/afs-cons
- afs-base/afs-cons-links-empty
- set-basic/dir-heap-refset/Extension
Used simplifier rules:
- aubifs-base/valid-dir-ino
- aubifs-base/valid-parent-ino
- set-basic/alink-set/size-zero
- set-basic/alink-set/size-zero-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
- aubifs-inv/ubifs-parent-dir
- aubifs-abs/in-children
- abstract-file/sel-02
- aubifs-abs/file
- aubifs-abs/at-files
- abstract-dir/sel-08
- abstract-dir/sel-03
- afs-base/dir-empty
- abstract-dir/sel-09
- aubifs-abs/at-children
- set-basic/alink-set/size-zero-02
- set-basic/node-index/size-zero-01
- set-basic/node-index/ne-01
- key/sel-04
- key/test-02
- aubifs-inv/orphans
- aubifs-abs/abs-keys
- aubifs-abs/in-files
- abstract-dir/sel-05
- aubifs-abs/dir
- aubifs-abs/at-dirs
- aubifs-abs/in-dirs