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Theorem F-ext

⊦ files = abs-files(fs, ri) ↔ (∀ ino. (ino ∈ files ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory) ∧ (ino ∈ files → files[ino] = abs-file(ino, fs, ri)))

Type: A user defined theorem
Validity: The proof is valid.
Features: lss, ss,
Comment:
Used by: abs-files-del-data, abs-files-del-dentry, abs-files-del-dir, abs-files-del-file, abs-files-del-orphans, abs-files-drop, abs-files-gc-copy, abs-files-trunc, abs-files-unused-adrs,
Used by units in proved state: aubifs-refine,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: file, at-files, in-files,
Used spec theorems:
- heap/file-heap/ext
Used simplifier rules: