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Theorem abs-orphans-diff-datakeys

⊦ orphans(abs-dirs(fs, ri), abs-files(fs, ri \ datakeys(inodekey(ino), n, ri))) = orphans(abs-dirs(fs, ri), abs-files(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: 3
Proof steps: 9
Used lemmas: in-files, in-dirs,
Used spec theorems:
- set-basic/dir-heap-refset/Extension
- afs-base/orphans
Used simplifier rules:
- afs-base/root-not-orphan
- store+set/node-index/Diff-ext
- afs-base/valid-ino
- store+set/node-index/Diff-get
- aubifs-base/datakeys-ge
- aubifs-base/datakeys
- key/test-08