# Partial Equivalence Relation

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A Partial Equivalence Relation is a Binary Relation that ...

## References

- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Partial_equivalence_relation
- In mathematics, a partial equivalence relation (often abbreviated as PER) R on a set X is a relation that is symmetric and transitive. In other words, it holds for all a, b, c \in X that:
- 1. if aRb, then bRa (symmetry)
- 2. if aRb and bRc, then aRc (transitivity)

- If R is also reflexive, then R is an equivalence relation.

- In mathematics, a partial equivalence relation (often abbreviated as PER) R on a set X is a relation that is symmetric and transitive. In other words, it holds for all a, b, c \in X that: