We have the following indirect implication of form equivalence classes:

79 \(\Rightarrow\) 38
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
79 \(\Rightarrow\) 38 clear

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number Statement
79:

\({\Bbb R}\) can be well ordered.  Hilbert [1900], p 263.

38:

\({\Bbb R}\) is not the union of a countable family of countable sets.

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