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Theorem path-inj

⊦ ispath(p, n, m0, dirs, files) ∧ ispath(p, n, m1, dirs, files) → m0 = m1

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by: expath-split-given, path-split-one,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas: valid-dir-ino, path-rec, valid-ino, path-here,
Used spec theorems:
- Used simplifier rules:
  - list/path/a
  - list/path/c
  - abstract-dir/elim