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Theorem remtau-split-list

⊦ el ≠ [] → (ext !(α) = ⌜el⌝ ↔ (∃ al, α0. α = ⌜al⌝ + α0 ∧ al ≠ [] ∧ ext !(al) = el ∧ Some(el.last) = ext(al.last) ∧ ext !(α0) = []))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: remtau-split-list-inf, remtau-split-list-weak,
Used by units in proved state:
Proof exists?: Yes

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Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: remtau-append, finremtau-def, remtau-split,
Used spec theorems:
- Used simplifier rules: