Show that AnA'= nullset

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- Aug 17th 2006, 02:46 AMdcapdoggsets
Show that AnA'= nullset

- Aug 17th 2006, 04:34 AMThePerfectHackerQuote:

Originally Posted by**dcapdogg**

If then

Then, thus, are**disjoint**thus, - Aug 17th 2006, 06:30 AMSoroban
Hello, dcapdogg!

The proof depends upon what axioms and definitions are established.

Quote:

Show that

is the set of elements that are in**and**in .

By definition of*complement*: .If , then

. . Hence, there are__no__elements common to and .They are disjoint.

Therefore: .