Implement a function that return whether a relation is an equivalence relations. Use the functions from example $1$ in your implementation.

$-$ Name of function and input: is$\_$equivalence$\_$relation$($defined$\_$set, relation$\_$on$\_$set$)$

$-$ Input: First input $($defined$\_$set$)$ is a list representing the set on which the relations exist. Second input $($relation$\_$on$\_$set$)$ is a list of tuples representing a relation on the set.

$-$ Output: Boolean value, True if the relation $($relation$\_$on$\_$set$)$ is an equivalence relation for the set $($defined$\_$set$),$ otherwise False.

$-$ Examples:

$-$ is$\_$equivalence$\_$relation$([1,2,3,4],\backslash ([(1,1),(2,2),(3,3),(4,4),(1,2),(2,1)])\backslash )$ should return the boolean value True.

$-$ is$\_$equivalence$\_$relation$(([\text{'}$Alice$\text{'},$ 'Bob', 'David', 'Eve'$],[(\text{'}$Alice$\text{'},$'Bob'$),(\text{'}$Bob$\text{'},$'Alice'$)])$ should return the boolean value False.