Assume that B is a Boolean algebra with operations + and.
Chapter 6, Problem 6.157(choose chapter or problem)
Assume that B is a Boolean algebra with operations + and. Give the reasons needed to ll in the blanks in the proofs, but do not use 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,(a+b)a =a. Proof: Let a and b be any elements of B. Then (a+b)a =a(a+b) (a) =aa+ab (b) =a+ab (c) =a1+ab (d) =a(1+b) (e) =a(b+1) (f) =a1 by exercise 2 =a (g) .
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