David G. answered • 09/02/19
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A relation R is said to be antisymmetric if for any elements x and y in the domain, x R y and y R x implies x = y.
The easiest example is, for the domain of real numbers, R is the relation ≥ . Then ≥ is antisymmetric because x ≥ y and y ≥ x implies x = y.
