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Theorem remtau-split

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

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