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Theorem elim-add

⊦ x ≠ [] → (head = x.first ∧ tail = x.rest ↔ x = head + tail)

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment: |- not x = [] -> (head = x.head and tail = x.tail <-> x = head + tail)
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 13
Proof steps: 25
Used lemmas: get-succ, get-zero, size-add,
Used spec theorems:
Used simplifier rules: