Problem on family of sets


Assignment:

Suppose F is a family of sets. Prove that there is a unique Set A that has the following two properties.
a) F is a subset of P(A) and
b) For all of B (F is a subset of P(B) then A is a subset of B

Should use an upset down A for all of B.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Problem on family of sets
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