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hey whats up just another set theory proof lets go through the proof that a set minus B intercept would be equal to the ante set right so lets just do it which is write down what this means and were just going to were going to show thats equal to the empty set lets try it yeah 87 - video intersection B so what is that whats the side wall eyes such that lets just use the definition of intersection right so if somethings in the intersection it means theyre both set it means X is in this set so X intersection means okay so what does this mean so lets go ahead and write that down this is X such that well absolutely a set minus B that means X is in a and its not an e so this means X is okay and then we still have this statement here that X so again the first step was to use the definition of intersection right so if this set is the set of all X such that X is in this element and this element boombaras then we use a definition of set difference right if actions in a set - beat