Prove or disprove that

Let . Then and . Since , or . Since it can't be the case that , we must have that . Therefore,

The proof seems to make sense (to me at least), but what if and are disjoint? Wouldn't that mean that ?

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- February 25th 2010, 06:12 PMjames121515set theory proof
Prove or disprove that

Let . Then and . Since , or . Since it can't be the case that , we must have that . Therefore,

The proof seems to make sense (to me at least), but what if and are disjoint? Wouldn't that mean that ? - February 25th 2010, 06:34 PMPlato
- February 25th 2010, 07:11 PMDrexel28