Assume that B is a Boolean algebra with operations+ and
Chapter 6, Problem 6.162(choose chapter or problem)
Assume that B is a Boolean algebra with operations+ and . Prove each statement without using any parts of Theorem 6.4.1 unless they have already been proved. You may use any part of the denition of a Boolean algebra and the results of previous exercises, however. For all a and b in B,ab =a+b.(Hint: Prove that (ab)+(a+b) =1 and that(ab)(a+b) =0, and use the fact that ab has a unique complement.)
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