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For an index set I and indexed families of sets {Ai | i I } and {Bi | i I }. For each of the

For an index set I and indexed families of sets {Ai | i I } and {Bi | i I }. For each of the following statements, either prove it or find a counterexample.

a. (iI Ai )(iI Bi )=.iI (Ai Bi )

b. (iI Ai )(iI Bi)iI (Ai Bi )

c. iI (Ai Bi )=(iI Ai )(iI Bi ).

d. iI (Ai Bi )(iI Ai )(iI Bi )

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