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Theorem path-split-one

⊦ ispath(p, n, m, dirs, files) ∧ dirs[m] = mkdir(n0, md, n, n1, entries) → (ispath(p + str ', n, entries[str], dirs, files) ↔ m ∈ dirs ∧ str ∈ entries ∧ (entries[str] ∈ files ∨ entries[str] ∈ dirs))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: path-inj, path-one, path-split,
Used spec theorems:
- Used simplifier rules:
  - abstract-dir/sel-09