text: On November 18 , 1803 , Haitian army led by Jean-Jacques Dessalines defeated a French colonial army led by the Comte de Rochambeau , leading to the independence of HaÃ ti .
simplified: In this battle , the army of Jean-Jacques Dessalines defeated a French colonial army led by the Comte de Rochambeau , leading to the independence of Haiti on 1 January 1804 .