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Theorem file-fid

⊦ n ∈ files ∧ abs(tree, ROOT_INO)(dirs) ∧ fids-cons(tree, abs-files(files), ofh) ∧ afs-cons(dirs, files) → (⌜n⌝ ∈ tree.fids ↔ links(n, dirs) ≠ ∅)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: recovery, refine-close, refine-unlink,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: fid-file,
Used spec theorems:
- vfs-abs/abs-nlinks-h
Used simplifier rules:
- afs-base/afs-cons-notfile
- afs-base/afs-cons-root-dir