Recent content by thenoob

You mean by writing (x, y) ~ (x, y) <=> x + y = x + y ? I think my problem is that I get really confused by the ~ and what it means.

Homework Statement We define a relation ~ for N^2 by: (n, m) ~(k, l) <=> n + l = m + k Show that ~ is a equivalence relation Homework Equations A relation R on a set A is equivalent if R is: reflexive if x R x for all x that is an element of A symmetric if x R y implies y R x...