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Suppose f : X → S and F ⊆ P(S). Show, f −1 (∪A∈F A) =...

Suppose f : X → S and F ⊆ P(S). Show, f −1 (∪A∈F A) = ∪A∈F f −1 (A) and  f −1 (∩A∈F A) = ∩A∈F f −1 (A).

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