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Theorem finfrag-split

⊦ ¬ # al < n ∧ n < # sl → ( frag*(IOAut(start, step, ext))(sl, al) ↔ frag*(IOAut(start, step, ext))(sl.take(n + 1), al.take(n)) ∧ frag*(IOAut(start, step, ext))(sl.drop(n), al.drop(n)))

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