(Subfield Test) Let F be a field and let K be a subset of
Chapter 13, Problem 29E(choose chapter or problem)
(Subfield Test) Let \(F\) be a field and let \(K\) be a subset of \(F\) with at least two elements. Prove that \(K\) is a subfield of \(F\) if, for any \(a, b(b \neq 0)\) in \(K\), \(a-b\) and \(a b^{-1}\) belong to \(K\).
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