Show that the statement p (A, B|C) = p(A|C) p(B|C) is equivalent to both p (A|B, C)

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Show that the statement p (A, B|C) = p(A|C) p(B|C) is equivalent to both p (A|B, C) = p(A|C) and p (B|A, C) = p(B|C).

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