Prove the following statement. Theorem 1.1.8 If a nonempty set S of real numbers is bounded below, then inf S is the unique real number a such that (a) x > a for all x in S; (b) if e > 0 (no matter how small ), there is an xo in S such that xo < a + e.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.