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Theorem remtau-split-fin

⊦ el ≠ [] → ( ⌜ext !(al)⌝ = ⌜el⌝ + β ↔ (∃ al0, al1, el0. al = al0 + al1 ∧ al0 ≠ [] ∧ ext !(al0) = el ∧ Some(el.last) = ext(al0.last) ∧ ext !(al1) = el0 ∧ β = ⌜el0⌝ ))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: finremtau-append, finremtau-def, remtau-split,
Used spec theorems:
- Used simplifier rules: