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Theorem: Supremum Property, Infimum Property

Every non-empty subset of real numbers, which has an upper bound, has also a supremum. Equivalently, we say that real numbers have the supremum property.

Every non-empty 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

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983