antisymmetry Definition
a property of binary relations that holds when, for any two distinct elements in the domain of the relation, exactly one of them bears the relation to the other; specifically, if aRb and bRa, then a = b.
Using antisymmetry: Examples
Take a moment to familiarize yourself with how "antisymmetry" can be used in various situations through the following examples!
Example
Antisymmetry is a fundamental concept in mathematics.
Example
The antisymmetry of the 'less than or equal to' relation means that if a ≤ b and b ≤ a, then a = b.
Summary: antisymmetry in Brief
In mathematics, 'antisymmetry' [ˌæntiˈsɪmətri] is a property of binary relations that holds when, for any two distinct elements in the domain of the relation, exactly one of them bears the relation to the other. Specifically, if aRb and bRa, then a = b. It is a fundamental concept in mathematics and is often used in mathematical proofs and arguments.
