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Theorem replay-cons-add-orphan

⊦ log-cons(log, fs) → (replay-cons-strong(fs, ri, ro ++ inodekey(ino), fi, fo, log) ↔ replay-cons-strong(fs, ri ⊖ inodekey(ino), ro, fi, fo, log))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 16
Proof steps: 32
Used lemmas: replay, replay-cons-strong,
Used spec theorems:
Used simplifier rules:
- aubifs-base/in-dels-ro
- key/elim-02
- set-basic/node-index/in-03
- key/sel-03
- key/test-09
- key/disj-01
- aubifs-base/in-del-ro
- aubifs-base/at-del-ro-nodata
- set-basic/node-index/in-02
- key/inj-03
- set-basic/node-index/In-insert