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Theorem app-02-ant

⊦ ¬ x + y ≠ [] ↔ x = [] ∧ y = []

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: e-02, e-03, first-02, first-app, firstrest, in-empty, inapp, len-last-rest, one, one-01,
Used by units in proved state: list-last, list-del, stream, path-reachable, olist-min-max, olist, list-set, list-dup,
Proof exists?: Yes

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Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: app-02, a, Nil,
Used spec theorems:
- Used simplifier rules: