Question: Let X be a non-empty set. Let C be a collection of subsets of X such that the union of its elements is X. Let

Let X be a non-empty set. Let C be a collection of subsets of X such that the union of its elements is X. Let Bc be the set consisting of finite intersection of elements in C. Prove that Bc is a basis of a topology. This is the minimal topology containing C.

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