...My favorite moments are when I am helping someone who has been feeling stuck discover a new way to understand. The light bulb goes on. The frustration lifts. (read more)
...Thus, by definition of antisymmetric, R on A is antisymmetric. Therefore, if R n R-1 ? {(a, a): a ? A}, R on A is antisymmetric. It will now be shown that if R on A is antisymmetric, R n R-1 ? {(a, a): a ? A}. Let m, n ? A. (read more)