Implications

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We have the following indirect implication of form equivalence classes:

14 \(\Rightarrow\) 49 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
14 \(\Rightarrow\) 49	A survey of recent results in set theory, Mathias, A.R.D. 1979, Period. Math. Hungar.

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.
49:	Order Extension Principle: Every partial ordering can be extended to a linear ordering.  Tarski [1924], p 78.

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