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Let A, B, C, D be sets, prove that (A intersection B) times (C intersection D) = (A times C) intersection (B times D), and

Let A, B, C, D be sets, prove that

(A intersection B) times (C intersection D) = (A times C) intersection (B times D), and

(A Union B) times (C Union D) = (A times C) Union (B times D).

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