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]

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[581] **Forster Otto**: “Analysis 1, Differential- und Integralrechnung einer VerĂ¤nderlichen”, Vieweg Studium, 1983