How would you prove that (A/B) U B = A if and only if B C A ? It's the iff that is giving me problems. Is there a technique for this type of proof?
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Originally Posted by Cairo How would you prove that (A/B) U B = A if and only if B C A ? There is no one way to do any set theory proof. Here you might note that Starting with what would
Originally Posted by Cairo How would you prove that (A/B) U B = A if and only if B C A ? It's the iff that is giving me problems. Is there a technique for this type of proof? This statement is equivalent to the following statement : iff
Originally Posted by princeps This statement is equivalent to the following statement : iff Thanks, but this looks even worse to me!
Would this not be A, Plato? I was thinking of relabelling (B C A) as D and ((A/B) U B = A) as E and then trying to argue D implies E and also that ~D implies ~E, but not sure if this would work or even where to start.
Originally Posted by Cairo Would this not be A, Plato? That is correct. So you have proved it one way. Now suppose that now show that
Originally Posted by Plato That is correct. So you have proved it one way. Now suppose that now show that Using the distributive law I get (A U B) and (B^c U B) = ....... But not sure how to continue this argument. Will have a think about it.
Originally Posted by Plato There is no one way to do any set theory proof. Here you might note that Starting with what would Should not be And then be equal to: ?
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