We have the following indirect implication of form equivalence classes:

1 \(\Rightarrow\) 364
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
1 \(\Rightarrow\) 364

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

Howard-Rubin Number Statement
1:

\(C(\infty,\infty)\):  The Axiom of Choice: Every  set  of  non-empty sets has a choice function.

364:

In \(\Bbb R\), there is a measurable set that is not Borel.  G. Moore [1982], p 325.

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