Solved: The following are two proofs that for all sets A
Chapter 6, Problem 6.55(choose chapter or problem)
The following are two proofs that for all sets A and B, A B A.Therstislessformal,andthesecondismore formal. Fill in the blanks. a. Proof: Suppose A and B are any sets. To show that A B A, we must show that every element in (1) is in (2) . But any element in A B is in (3) and not in (4) (by denition of A B). In particular, such an element is in A. b. Proof: Suppose A and B are any sets and x A B. [Wemustshowthat (1) .]Bydenitionofsetdifference, x (2) and x /
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