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Theorem expath-rec

⊦ ispath(str ' + q, n, dirs, files) ↔ valid-dir-ino(n, dirs, files) ∧ str ∈ dirs[n].entries ∧ ispath(q, dirs[n].entries[str], dirs, files)

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: 2
Proof steps: 7
Used lemmas: isexpath, path-rec, expath, valid-dir-ino,
Used spec theorems:
- Used simplifier rules:
  - abstract-dir/elim
  - abstract-dir/sel-09
  - list/path/a