You should travel with your ASCIA Action Plan for anaphylaxis and your ASCIA Travel Plan for people at risk of anaphylaxis.
Some airlines ask you to bring a letter or medical clearance from a doctor when flying with food allergy. Some airlines require you to complete a Medical Information Form (MEDIF) before the flight and get approval to fly. Some airlines require you to sign a waver. Check with your airline.
For more information see Airline policy comparison for food allergy