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Theorem abs-files-del-orphans

⊦ abs-files(fs, ri ⊖ orphans(fs, ri)) = abs-files(fs, ri) \ abs-keys(orphans(fs, ri))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 14
Used lemmas: at-content, in-content, P-ext, F-inj, at-files, file, abs-keys, in-files, F-ext,
Used spec theorems:
- aubifs-base/at-dels-ro-nodata
- heap/file-heap/at-diffs
- aubifs-base/at-dels-ro-data
- aubifs-base/in-dels-ro
Used simplifier rules:
- heap/file-heap/in-diffs
- aubifs-base/in-dels-ro
- aubifs-base/in-dels-inode
- key/test-08
- aubifs-inv/orphans
- key/test-04
- key/test-09
- key/sel-03
- key/test-02
- key/sel-04