Equivalence
Relations
lA relation with the reflexive, symmetric, and transitive properties is called an equivalence relation. Such a relation generalizes the notion of
equality, since in this case if x is related to z and y is
related to z, then x is related to y.
In other words, if each of
a set of elements is related to a common thing, the elements
in the set and the common thing are all related to each
other.
A
D
B
C
E
F
Equivalence: