Prove:
A-(A-B)=A intersection B)

A - (A-B)
(SINCE     A-B = A INTERSECTION B' )
.'.
= A INTERSECTION (A INTERSECTION B')'


(SINCE ( A INTERSECTION B)' = (A' UNION B') )

= A INTERSECTION ( A' UNION B)

(SINCE A INTERSECTION ( A UNION B) = ( A INTERSECTION A) UNION ( A INTERSECTION B))
 
= ( A INTERSECTION A') UNION ( A INTERSECTION B)
=  fie UNION ( A INTERSECTION B)
.'. = A INTERSECTION B
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