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We have the following indirect implication of form equivalence classes:

80 \(\Rightarrow\) 18 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
80 \(\Rightarrow\) 18	clear

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

Howard-Rubin Number	Statement
80:	\(C(\aleph_{0},2)\):  Every denumerable set of  pairs has  a  choice function.
18:	\(PUT(\aleph_{0},2,\aleph_{0})\):  The union of a denumerable family of pairwise disjoint pairs has a denumerable subset.

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