Implications

We have the following indirect implication of form equivalence classes:

1 \(\Rightarrow\) 370
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
1 \(\Rightarrow\) 370

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.

370:

Weak Gelfand Extreme Point Theorem: If \(A\) is a non-trivial Gelfand algebra then the closed unit ball in the dual of \(A\) has an extreme point \(e\).  Morillon [1986].

Comment:

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