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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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