This new set of subsets together with the operation of set


I am having a problem drawing the table for the following system: Define a universal set U as the set of counting numbers. Form a new set that contains all possible subsets of U. This new set of subsets together with the operation of set intersection forms a mathematical system. Then I have to tell which properties that we did in class are satisfied by the system.

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Algebra: This new set of subsets together with the operation of set
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