Prove Infimums Exist with the Completeness Axiom | Real Analysis

The completeness axiom asserts that if A is a nonempty subset of the reals that is bounded above, then A has a least upper bound - called the supremum. This does not say anything about if greatest lower bounds - infimums exist for sets that are bounded below, but we can use the completeness axiom to prove infimums exist too!

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Definition of Supremum and Infimum of a Set:    • Definition of Supremum and Infimum of a Se...  
Epsilon Definition of Supremum and Infimum:    • Epsilon Definition of Supremum and Infimum...  

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