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Theorem at-pcache-overwrite-other

⊦ ino ≠ key0.ino → (files ⊕ pcache[key0, pe])[ino] = (files ⊕ pcache)[ino]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 19
Used lemmas:
Used spec theorems:
- abstract-file/inj
- store/file-content/k-Extension
- cache-base/at-overwrite-content-new
- cache-base/at-overwrite-content-old
Used simplifier rules:
- cache-base/at-pcache-overwrite
- abstract-file/elim
- store/pcache/In-insert
- cache-base/at-overwrite-content-old
- store/pcache/notmemlookup
- pcache-entry/elim
- store/pcache/At-same
- key/sel-03
- store/pcache/in-neq
- store/pcache/At-other
- cache-base/in-overwrite-content
- cache-base/in-mkcontent
- cache-base/at-overwrite-content-new
- cache-base/at-mkcontent
- pcache-entry/sel-01