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Theorem C-ext

⊦ entries = abs-children(ino, fs, ri) ↔ (∀ str. (str ∈ entries ↔ dentrykey(ino, str) ∈ ri) ∧ (str ∈ entries → entries[str] = fs[ri[dentrykey(ino, str)]].ino))

Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by: abs-dirs-del-data, abs-dirs-del-dentry, abs-dirs-del-dir, abs-dirs-del-file, abs-dirs-del-orphans, abs-dirs-deldatakeys-1, abs-dirs-deldatakeys-2, abs-dirs-drop, abs-dirs-gc-copy, abs-dirs-orphans, abs-dirs-trunc, abs-dirs-unused-adrs,
Used by units in proved state: aubifs-refine,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: at-children, in-children,
Used spec theorems:
- store/dir-entries/k-Extension
Used simplifier rules: