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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.

| | | | | created: 2016-03-04 19:25:29 | modified: 2016-03-04 19:41:04 | by: bookofproofs | references: [581]

1.Proof: of Existence (related to "Supremum Property, Infimum Property")

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Bibliography (further reading)

[581] Forster Otto: “Analysis 1, Differential- und Integralrechnung einer Veränderlichen”, Vieweg Studium, 1983