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Theorem: Supremum Property, Infimum Property
Every nonempty subset of real numbers, which has an upper bound, has also a supremum. Equivalently, we say that real numbers have the supremum property.
Every nonempty subset of real numbers, which has a lower bound, has also an infimum. Equivalently, we say that real numbers have the infimum property.
Table of Contents
Proofs: 1
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Proofs: 1 2
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer VerĂ¤nderlichen", Vieweg Studium, 1983