Antisymmetric
<mathematics> 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
then
x R y
=>
x == y
I.e. different elements are not related.
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