Total Relation

In mathematics, a binary relation R over a set X is total if it holds for all a and b in X that a is related to b or b is related to a. In mathematical notation, this is:
\forall a, b \in X,\ a R b \or b R a
For example, "is less than or equal to" is a total relation over the set of real numbers, while "is less than" is not.

 

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