antisymmetric relation
antisymmetric relation A relation R defined on a set S and having the property that whenever x R y and y R x then x = y
where x and y are arbitrary members of S. Examples include “is a subset of” defined on sets, and “less than or equal to” defined on the integers. See also asymmetric relation, symmetric relation.
where x and y are arbitrary members of S. Examples include “is a subset of” defined on sets, and “less than or equal to” defined on the integers. See also asymmetric relation, symmetric relation.
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antisymmetric relation