Both houses of the French Parliament are located on the Rive Gauche. The upper house, the Senate, meets in the Palais du Luxembourg in the 6th arrondissement, while the more important lower house, the National Assembly, meets in the Palais Bourbon in the 7th arrondissement. The President of the Senate, the second-highest public official in France (the President of the Republic being the sole superior), resides in the Petit Luxembourg, a smaller palace annexe to the Palais du Luxembourg.