c$)$ Implement a function that returns whether a relation is antisymmetric.

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

$-$ Input: The input $($relation$\_$on$\_$set$)$ is a list of tuples representing a relation.

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

$-$ Examples:

$*$ is$\_$antisymmetric $\backslash (([(1,1),(2,2),(1,2),(2,3),(1,3)])\backslash )$ should return the boolean value True.

$*$ is$\_$antisymmetric$([(\text{'}$Alice$\text{'},$'Bob'$),(\text{'}$Bob$\text{'},$'Alice'$)])$ should return the boolean value False.

d$)$ Implement a function that returns whether a relation is transitive.

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

$-$ Input: The input $($relation$\_$on$\_$set$)$ is a list of tuples representing a relation.

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

$-$ Examples:

$*$ is$\_$transitive $\backslash (([(1,1),(2,2)])\backslash )$ should return the boolean value True.

$*$ is$\_|$transitive $([(\text{'}$Alice$\text{'},$'Bob'$),(\text{'}$Bob$\text{'},$'Alice'$)])$ should return the boolean value False.