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Theorem abs-files-del-data

⊦ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory → abs-files(fs, ri -- datakey(ino, n)) = abs-files(fs, ri) [ino, mkfile(fs[ri[inodekey(ino)]].size, fs[ri[inodekey(ino)]].meta, fs[ri[inodekey(ino)]].nlink, abs-content(ino, fs, ri) -- n) ]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 7
Used lemmas: at-content, in-content, P-ext, F-inj, file, at-files, in-files, F-ext,
Used spec theorems:
- store/node-index/Del-in
Used simplifier rules:
- heap/file-heap/at-write
- key/disj-01
- heap/file-heap/in-write
- store/file-content/Del-in
- store/file-content/Del-at
- store/node-index/Del-at-strong
- key/inj-02
- store/node-index/Del-in
- store/node-index/Del-at