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jstarks4444
 Post subject: Equivalence Relation Proof
PostPosted: Tue, 25 Oct 2011 05:53:18 UTC 
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Hey all, need help with the following proof about equivalence relations:

Assume we are given an equivalence relation on a set A. For all a1,a2 in A, [a1] = [a2] or [a1] ∩ [a2] = Ø

Would appreciate help with this proof!
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helmut
 Post subject: Re: Equivalence Relation Proof
PostPosted: Tue, 25 Oct 2011 06:54:09 UTC 
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Suppose [a_1]\cap [a_2]\neq \emptyset. Then there is an x\in[a_1]\cap[a_2]. Show next that this implies that a_1\sim a_2.

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