 Complete the following phrase:  The Yuan dynasty was formally proclaimed in 1271, when the Great Khan of Mongol, Kublai Khan, one of the grandsons of Genghis Khan, assumed the additional title of Emperor of China, and considered his inherited part of the Mongol Empire as a Chinese dynasty. In the preceding decades, the Mongols had conquered the Jin dynasty in Northern China, and the Southern Song dynasty fell in 1279 after a protracted and bloody war. The Mongol Yuan dynasty became the first conquest dynasty in Chinese history to rule the entire China proper and its population as an ethnic minority. The dynasty also directly controlled the Mongolian heartland and other regions, inheriting the largest share of territory of the divided Mongol Empire, which roughly coincided with the modern area of China and nearby regions in East Asia. Further expansion of the empire was halted after defeats in the invasions of Japan and 