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Theorem replay-orphans-inode

⊦ ¬ inodekey(ino) ∈ ro → (ri ⊖ ro)[inodekey(ino), adr] = ri[inodekey(ino), adr] ⊖ ro

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 24
Used lemmas:
Used spec theorems:
- store/node-index/k-Extension
- aubifs-base/in-dels-ro
- aubifs-base/at-dels-ro-data
- store/node-index/At-other
- aubifs-base/at-dels-ro-nodata
Used simplifier rules:
- store/node-index/At-same
- store/node-index/insin
- key/test-08
- store/node-index/At-other
- aubifs-base/in-dels-ro
- store/node-index/in-neq
- key/elim-02
- key/test-09
- aubifs-base/at-dels-ro-data
- store/node-index/In-insert
- key/disj-01