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Theorem at-icache-overwrite-other

⊦ ino ≠ m → (files ⊕ icache[m, ie])[ino] = (files ⊕ icache)[ino]

Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by: fsync-inode-keep-abs, fsync-inode-others-unchanged,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 11
Used lemmas:
Used spec theorems:
Used simplifier rules:
- cache-base/at-icache-overwrite
- inode/elim
- icache-entry/elim
- cache-base/at-icache-overwrite-no-file
- inode/sel-03
- icache-entry/sel-01
- store/icache/At-other
- cache-base/at-icache-overwrite-not-cached
- store/icache/notmemlookup
- store/icache/in-neq