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Corollary 21

[20K](Solved on 2022-11-24) Having fixed a set AβŠ†β„ not empty, then supA is the only number π›Όβˆˆβ„βˆͺ{+∞} which satisfies these two properties

βˆ€x∈A,xβ‰€π›Όβˆ€h<𝛼,βˆƒx∈A,x>h

as already seen in [22S] for the more general case of totally ordered sets.

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