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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! #RealAnalysis #Math ...
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