Antisymmetry

Antisymmetry is a property often discussed in the context of relations in mathematics, particularly in set theory and order theory. A relation \( R \) on a set \( A \) is said to be antisymmetric if, for any \( a \) and \( b \) in \( A \), whenever both \( a R b \) and \( b R a \) hold, it must also be the case that \( a = b \).