We have the following indirect implication of form equivalence classes:

132 \(\Rightarrow\) 0
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
132 \(\Rightarrow\) 0

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

Howard-Rubin Number Statement
132:

\(PC(\infty, <\aleph_0,\infty)\):  Every infinite family of finite  sets has an infinite subfamily with a choice function.

0:  \(0 = 0\).

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