Diagonal Relation is Equivalence/Examples
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Examples of Use of Diagonal Relation is Equivalence
Equality of Integers is Equivalence
Let $\Z$ denote the set of integers.
Let $\RR$ denote the relation on $\Z$ defined as:
- $\forall x, y \in \Z: x \mathrel \RR y \iff x = y$
Then $\RR$ is an equivalence relation such that the equivalence classes are singletons.