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We have the following indirect implication of form equivalence classes:

130 \(\Rightarrow\) 203 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
130 \(\Rightarrow\) 79	clear
79 \(\Rightarrow\) 203	clear

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

Howard-Rubin Number	Statement
130:	\({\cal P}(\Bbb R)\) is well orderable.
79:	\({\Bbb R}\) can be well ordered.  Hilbert [1900], p 263.
203:	\(C\)(disjoint,\(\subseteq\Bbb R)\): Every partition of \({\cal P}(\omega)\) into non-empty subsets has a choice function.

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