I have a problem which s related to this symmetric propety.

Show that there exist a unique set such that for all . The set is obviously the empty set. But then how do I prove the uniqueness part of , i.e. if and , then = the empty set

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- Nov 27th 2009, 06:43 AMsantiagos11Symmetric Difference
I have a problem which s related to this symmetric propety.

Show that there exist a unique set such that for all . The set is obviously the empty set. But then how do I prove the uniqueness part of , i.e. if and , then = the empty set - Nov 27th 2009, 07:50 AMPlato
- Nov 27th 2009, 09:28 AMsantiagos11
thank you. You are very good in your arguments.

- Nov 29th 2009, 06:43 PMsantiagos11
I have yet another simmilar problem.

Suppose are sets. Show that there exist a unique set such that . If are disjoint, then . But if not, then what would C have to be? - Nov 30th 2009, 04:51 PMsantiagos11
never mind. i got it