A door system for an elevator installation having an elevator car, the door system including a pivotable first car door leaf mounted at a car door opening and a pivotable first shaft door leaf mounted at a shaft door opening of the elevator installation. At least a part of the shaft door opening is closed by the first shaft door leaf in a closed position thereof and a shaft door plane is formed along the shaft door leaf. At least a part of the car door opening is closed by the first car door leaf in a closed position thereof and a car door plane is formed along the car door leaf. The car door leaf, in an open position thereof, extends through the shaft door plane, or the shaft door leaf, in an open position thereof, extends through the car door plane.