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Theorem expath-one

⊦ ispath(str ', n, dirs, files) ↔ n ∈ dirs ∧ str ∈ dirs[n].entries ∧ (dirs[n].entries[str] ∈ dirs ∨ dirs[n].entries[str] ∈ 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: 1
Proof steps: 3
Used lemmas: path-one, expath,
Used spec theorems:
- Used simplifier rules:
  - abstract-dir/elim
  - abstract-dir/sel-09