Implications

We have the following indirect implication of form equivalence classes:

1 \(\Rightarrow\) 365
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
1 \(\Rightarrow\) 365

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

Howard-Rubin Number Statement
1:

\(C(\infty,\infty)\):  The Axiom of Choice: Every  set  of  non-empty sets has a choice function.

365:

For every uncountable set \(A\), if \(A\) has the same cardinality as each of its uncountable subsets then \(|A| = \aleph_1\).

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