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We have the following indirect implication of form equivalence classes:

231 \(\Rightarrow\) 165 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
231 \(\Rightarrow\) 165	clear

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

Howard-Rubin Number	Statement
231:	\(UT(WO,WO,WO)\): The union of a well ordered collection of well orderable sets is well orderable.
165:	\(C(WO,WO)\):  Every well ordered family of non-empty, well orderable sets has a choice function.

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