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Theorem parent-elim

p ≠ ε ⊦ q = parent(p) ∧ str = p.last ↔ p = q + str '

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas:
Used spec theorems:
- Used simplifier rules:
  - list-last/path/last-def
  - list-last/path/butlast-def
  - list/path/a
  - list-last/path/butlast-last