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I remember doing this one in Set Theory, god, I really despised that course. To be honest, I can't remember how it's done, but I do remember that it was very, very long. I really cannot state how much I truly hate this branch of Mathematics, I much prefered my calculus and geometry courses.

edit: Now that I think about it, I'm not entirely sure we've ever finished it. I think the professor may have just mentioned after a short while about how long it may take. Of course, I could be wrong, we must have done over a hundred proofs I can't tell one from the other any more.