Implications

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We have the following indirect implication of form equivalence classes:

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

Implication	Reference
14 \(\Rightarrow\) 370	clear

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

Howard-Rubin Number	Statement
14:	BPI: Every Boolean algebra has a prime ideal.
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].

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