Implications

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We have the following indirect implication of form equivalence classes:

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

Implication	Reference
352 \(\Rightarrow\) 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
352:	A countable product of second countable spaces is second countable.
32:	\(C(\aleph_0,\le\aleph_0)\): Every denumerable set of non-empty countable sets  has a choice function.

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