Axiom Of Choice

We have the following indirect implication of form equivalence classes:

202 \(\Rightarrow\) 363 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
202 \(\Rightarrow\) 91	note-75
91 \(\Rightarrow\) 363	Equivalents of the Axiom of Choice II, Rubin, 1985, theorem 5.7

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

Howard-Rubin Number	Statement
202:	\(C(LO,\infty)\): Every linearly ordered family of non-empty sets has a choice function.
91:	\(PW\): The power set of a well ordered set can be well ordered.
363:	There are exactly \(2^{\aleph_0}\) Borel sets in \(\Bbb R\). G. Moore [1982], p 325.

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