Solved: Fill in the blanks in the following proof that for
Chapter 6, Problem 24E(choose chapter or problem)
Problem 24E
Fill in the blanks in the following proof that for all sets A and B, .
Proof: Let A and B be any sets and suppose . That is, suppose there were an element x in (a). By definition of (b), x ∈ A – B and x ∈ (c). Then by definition of set difference, x ∈ A and x ∉ B and x ∈ (d) and x ∉ (e). In particular x ∈ A and x ∉ (f), which is a contradiction. Hence [the supposition that is false, and so] (g).
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