|(mathematics)||antisymmetric - A relation R is antisymmetric if,|
for all x and y, x R y and y R x => x == y.
I.e. no two different elements are mutually related.
Partial orders and total orders are antisymmetric. If R is also symmetric, i.e.
x R y => y R x
x R y => x == y
I.e. different elements are not related.