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We have the following indirect implication of form equivalence classes:

295 \(\Rightarrow\) 83 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
295 \(\Rightarrow\) 30	"Dense orderings, partitions, and weak forms of choice", Gonzalez, C. 1995a, Fund. Math.
30 \(\Rightarrow\) 83	note-81

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

Howard-Rubin Number	Statement
295:	DO:  Every infinite set has a dense linear ordering.
30:	Ordering Principle: Every set can be linearly ordered.
83:	\(E(I,II)\) Howard/Yorke [1989]: \(T\)-finite is equivalent to finite.

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