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2. Let F be an ordered field. From the axioms of ordered fields presented in lecture, prove that Va F, a + 1 >
2. Let F be an ordered field. From the axioms of ordered fields presented in lecture, prove that Va F, a + 1 > 0. Use this to argue that if a field F contains a solution to the equation x + 1 = 0, then F cannot be ordered (in particular, there is no ordering on C that makes it into an ordered field).
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Calculus Early Transcendentals
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
9th Edition
1337613924, 978-1337613927
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