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Theorem elim-03

⊦ a_ListOfFlightOffer ≠ [] → ( a_FlightOffer = a_ListOfFlightOffer .first ∧ a_ListOfFlightOffer0 = a_ListOfFlightOffer .rest ↔ a_ListOfFlightOffer = a_FlightOffer + a_ListOfFlightOffer0)