Cannot understand this corollary on surreal numbers

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SUMMARY

The discussion centers on Corollary B from a paper regarding surreal numbers and their relationship to Hardy fields under the assumption of the Continuum Hypothesis (CH). It establishes that every maximal Hardy field is isomorphic as an ordered differential field to the ordered field No(ω1) of surreal numbers of countable length. The corollary implies that there are no countable surreal numbers greater than the germs of Hardy fields, clarifying the structure and limitations of surreal numbers in this context.

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  • Knowledge of the Continuum Hypothesis (CH)
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Anixx
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I cannot understand a corollary from this paper on surreal numbers:

Corollary B. Assuming CH (the Continuum Hypothesis), every maximal Hardy
field is isomorphic as an ordered differential field to the ordered field No(ω1) of
surreal numbers of countable length

Does it say that there are no countable surreal numbers greater than the germs of Hardy fields?
 

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