Recent content by kumamako

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    Prove independence preserved when replacing sets with complements

    Let A1,A2, . . . ,An be subsets of . Show that if A1,A2, . . . ,An are independent, then the same is true when any number of the sets Ai are replaced by their complements (Ai)c. (Hint: First do the case in which just one of the sets is replaced by its complement. Then argue by induction on...