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We have the following indirect implication of form equivalence classes:

90 \(\Rightarrow\) 90 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
90 \(\Rightarrow\) 90	Variants of the axiom of choice in set theory with atoms, Felgner, U. 1973, Fund. Math. The Axiom of Choice, Jech, 1973b, page 133

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

Howard-Rubin Number	Statement
90:	\(LW\):  Every linearly ordered set can be well ordered. Jech [1973b], p 133.
90:	\(LW\):  Every linearly ordered set can be well ordered. Jech [1973b], p 133.

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