Show that this new definition is equivalent to the original

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Let a prime attribute be one that appears in at least one candidate key. Let and be sets of attributes such that α→β holds, but β→α does not hold. Let A be an attribute that α is not in β, and for which β→ A holds. We say that A is transitively dependent on α. We can restate our definition of 3NF as follows: A relation schema R is in 3NF with respect to a set F of functional dependencies if there are no nonprime attributes A in R for which A is transitively dependent on a key for R. Show that this new definition is equivalent to the original one.

Reference no: EM131058107

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