The following is a proof that for all sets A, B, andC, if

Chapter 6, Problem 6.56

(choose chapter or problem)

The following is a proof that for all sets A, B, andC, if A B and B C, thenA C. Fill in the blanks. Proof: Suppose A, B, andC are sets and A B and B C.Toshowthat A C,wemustshowthateveryelement in (a) is in (b) . But given any element in A, that element is in (c) (because A B), and so that element is also in (d) (because (e) ). Hence A C.

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