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We have the following indirect implication of form equivalence classes:

354 \(\Rightarrow\) 32 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
354 \(\Rightarrow\) 32	Disasters in metric topology without choice, Keremedis, K. 2002, Comment. Math. Univ. Carolinae

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

Howard-Rubin Number	Statement
354:	A countable product of separable \(T_2\) spaces is separable.
32:	\(C(\aleph_0,\le\aleph_0)\): Every denumerable set of non-empty countable sets  has a choice function.

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