Define a reflexive relation

In relation and functions, a reflexive relation is the one in which every element maps to itself. For example, consider a set A = {1, 2,}. Now, the reflexive relation will be R = {(1, 1), (2, 2), (1, 2), (2, 1)}. Hence, a relation is reflexive if:

(a, a) ∈ R ∀ a ∈ A

where a is the element, A is the set and R is the relation.

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