Suppose The Great Wall of China is a series of fortifications made of stone, brick, tamped earth, wood, and other materials, generally built along an east-to-west line across the historical northern borders of China to protect and consolidate territories of Chinese states and empires against various nomadic groups. The wall was built in different sections by several dynasties, with the most famous being the Ming Dynasty wall, which was built during the reign of the Ming Dynasty in the 14th and 15th centuries.
Can we infer that "The Great Wall of China was built during the Song Dynasty."? Yes, no, or maybe?