Co-equality refers to the state of being equal or having equal status with others. Antonyms for this word would naturally be words that denote inequality, imbalance or unequal treatment. Some of the antonyms for co-equality include superiority, inferiority, subordination, hierarchy, and privilege. These words describe situations where individuals or groups are placed in a position of advantage or disadvantage relative to others. A society that emphasizes co-equality strives to create a level playing field where every person has the same opportunities and access to resources. The opposite would be a society where the few hold power over the many, creating an inherently unequal and unjust environment.