Hi, I need help on this question.

f: N => N

f(n) = r if r is the remainder when number n is divided by 5.

R={(n,m) | f(n) = f(m)}

So f(5) = 0 etc

I need help proving this is an equivalence relation.

So can someone help me check if its reflexsive, symmetric and transitive?

Cheers.