Prove that for any integer n 1 any set of n positive real


Question: (a) Prove that for any integer n ≥ 1, any set of n positive real numbers has a smallest element.

(b) Prove that the result of (a) is not true for infinite sets of positive real numbers in general but that it is true for some infinite sets.

(c) What is the name of the principle which asserts that any nonempty set of natural numbers has a smallest element?

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Mathematics: Prove that for any integer n 1 any set of n positive real
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