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If F_1,...,F_n are subsets of R^d that are all elementary, then \cap i≤n F_n is also...

If F_1,...,F_n are subsets of R^d that are all elementary, then \cap i≤n F_n is also elementary.

A set is said to be elementary if it is the finite union of boxes. This question is like generalization of properties of elementary set from real variable course.

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