6. Let A 0 C R which is bounded from below. Prove that inf(A) is the...

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6. Let A 0 C R which is bounded from below. Prove that inf(A) is the unique real number y satisfying: (a) for all a A, y a, and (b) for each e O there exists a A such that a < y + e. 6. Let A 0 C R which is bounded from below. Prove that inf(A) is the unique real number y satisfying: (a) for all a A, y a, and (b) for each e O there exists a A such that a < y + e.