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QUESTION
Let AL , . , An be subsets of a metric space X . If B - Up An , prove that B - Up A ; where B stands for the closure of B .
Please help me prove the following about the closure of union of subsets?
Let AL , ... , Anbe subsets of a metric space X . If B - Up An , prove that B - Up A ;where B stands for the closure of B . If C - Up An prove that Up A ; CC