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Theorem replay-orphans-data

⊦ ¬ datakey(ino, n) ∈ ro ∧ ¬ inodekey(ino) ∈ ro → (ri ⊖ ro)[datakey(ino, n), adr] = ri[datakey(ino, n), 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: 8
Proof steps: 21
Used lemmas:
Used spec theorems:
- store/node-index/k-Extension
- aubifs-base/at-dels-ro-data
- aubifs-base/at-dels-ro-nodata
- aubifs-base/in-dels-ro
Used simplifier rules:
- store/node-index/At-same
- store/node-index/insin
- key/sel-03
- store/node-index/At-other
- store/node-index/in-neq
- aubifs-base/in-dels-ro
- key/elim-02
- key/test-09
- aubifs-base/at-dels-ro-data