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Theorem remtau-empty-equiv

⊦ ext !(α) = [] ↔ (∀ n. ⌜n⌝ < # α → ext(α[n]) = None)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: ex-first-nontau, finremtau-empty-equiv, remtau-fromempty-to, remtau-inf, remtau-toempty-from,
Used by units in proved state: IOtrace,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 14
Proof steps: 32
Used lemmas: remtau-alltau, remtau-nontau-lem, addopt, remtau-cons, remtau-empty,
Used spec theorems:
- list-del/get-append-grt
- stream/intrace-expand
Used simplifier rules: