In assume that B is a Boolean algebra with
Chapter 6, Problem 6E(choose chapter or problem)
In assume that B is a Boolean algebra with operations + and ?. Prove each statement without using any parts of Theorem unless they have already been proved. You may use any part of the definition of a Boolean algebra and the results of previous exercises, however.Theorem Double Complement LawFor all elements a in a Boolean algebra B, = a.Proof:Suppose B is a Boolean algebra and a is any element of B. Then and Thus a satisfies the two equations with respect to that are satisfied by the complement of . From the fact that the complement of a is unique, we conclude that = a.Exercisea. ________________b.
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