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(A) Prove the Following Statement Using the Element Method for Proving

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Essay

(a) Prove the following statement using the element method for proving that a set equals the empty set: For all sets AA and B,A(BA)=B , A \cap ( B - A ) = \emptyset .
(b) Use the properties in Theorem 6.2.26.2 .2 to prove the statement in part (a). Be sure to give a reason for every step.


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