In 4—10 assume that B is a Boolean algebra with operations + and•. Prove each statement using only the axioms for a Boolean algebra and statements proved in the text or in lower-numbered exercises.
4. Universal bound for 0: For every a in B,
For all .
Let be the Boolean algebra, with the operations, addition “ ”and multiplication “ ”
Assume that is the Boolean algebra with the operations, addition“ ”and multiplication“ ”
Suppose is any element of .
Then, is the complement of .
By the Complement law for multiplication “ ”
By the Identity law for multiplication “ ”
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