a. Find an example of a Boolean algebra with elements x, y, and z for which x + y = x +

Chapter 8, Problem 18

(choose chapter or problem)

a. Find an example of a Boolean algebra with elements x, y, and z for which x + y = x + z but y z. (Here is further evidence that ordinary arithmetic of integers is not a Boolean algebra.) b. Prove that in any Boolean algebra, if x + y = x + z and x + y = x + z, then y = z.

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