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We have the following indirect implication of form equivalence classes:

14 \(\Rightarrow\) 63 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
14 \(\Rightarrow\) 63	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.
63:	\(SPI\): Weak ultrafilter principle: Every infinite set has a non-trivial ultrafilter. Jech [1973b], p 172 prob 8.5.

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