Implications

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We have the following indirect implication of form equivalence classes:

49 \(\Rightarrow\) 30 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
49 \(\Rightarrow\) 30	clear

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

Howard-Rubin Number	Statement
49:	Order Extension Principle: Every partial ordering can be extended to a linear ordering.  Tarski [1924], p 78.
30:	Ordering Principle: Every set can be linearly ordered.

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