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We have the following indirect implication of form equivalence classes:

94 \(\Rightarrow\) 13 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
94 \(\Rightarrow\) 13	The Axiom of Choice, Jech, 1973b, page 148 problem 10.1

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

Howard-Rubin Number	Statement
94:	\(C(\aleph_{0},\infty,{\Bbb R})\): Every denumerable family of non-empty sets of reals  has a choice function. Jech [1973b], p 148 prob 10.1.
13:	Every Dedekind finite subset of \({\Bbb R}\) is finite.

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