Let {Aα:α∈I}{Aα:α∈I} be a nonempty indexed collection of sets.  Prove or disprove P(⋂α∈IAα)=⋂α∈IP(Aα)P(⋂α∈IAα)=⋂α∈IP(Aα).

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.