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 P: 225 Thanks for the input people, you have cleared up a lot! The notion of cosets is quite confusing, at least to me. They've made their appearance in a chapter on Vector Spaces and I haven't seen them before. Another minor detail I have come across is this (perhaps my set theory is lacking!): if 2 cosets are equal, u + W = v + W, where u & v $\in$ U, then u - v $\in$ U $\bigcap$ W. How is this the case? Is it simply set theory?