The word "sub-structure" refers to the underlying support or foundation of a building or structure. Some antonyms for this term include "superstructure," which refers to the upper levels or visible parts of a building, and "debris," which refers to the scattered remains of a structure after it has been destroyed or dismantled. Other antonyms might include "dismantled," "unbuilt," "demolished," or "unconstructed," which all imply the absence or removal of any sub-structure. Additionally, terms like "surface," "exterior," or "facade" could be seen as antonyms, as they focus on the outer appearance of a structure rather than its internal support.