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April 1st, 2010, 09:55 PM   #1
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sets theroy question

could someone help me with the proof of following in the sets theory
A?(B?C) = (A?B)?C
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April 2nd, 2010, 06:25 AM   #2
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Re: sets theroy question

What does the delta mean?
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April 2nd, 2010, 06:29 AM   #3
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Re: sets theroy question

Ok, I'm going to write s instead of . x in As(BsC) iff either 1) x in A and x not in BsC or 2) x in BsC and x notin A.
suppose 1). Then as x not in BsC either a) x not in B or C, or b) x in B and C. If a) then x in AsB and x not in C. If b) then x in C and x not in AsB. Either way x in (AsB)sC.

To complete the proof you need to work out what happens when 2) holds and then use a similar method to show the inclusion the other way.

p.s. is the symmetric difference. .
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April 3rd, 2010, 03:46 AM   #4
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Re: sets theroy question

thanks alot
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