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Theorem c-02

⊦ y ≠ [] → (a ' + x = y + z ↔ a = y.first ∧ x = y.rest + z)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: c-06, c, in-append, in-14, app-01, a, fr,
Used spec theorems:
- Used simplifier rules:
  - list-data/elim-list-c