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Set Theoryhard
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Let {Ai}i∈I\{A_i\}_{i \in I}{Ai​}i∈I​ and {Bj}j∈J\{B_j\}_{j \in J}{Bj​}j∈J​ be two families of subsets of a universal set UUU. Which of the following is equivalent to the set difference of their unions, (⋃i∈IAi)∖(⋃j∈JBj)\left( \bigcup_{i \in I} A_i \right) \setminus \left( \bigcup_{j \in J} B_j \right)(⋃i∈I​Ai​)∖(⋃j∈J​Bj​)?