We have the following indirect implication of form equivalence classes:

40 \(\Rightarrow\) 231
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
40 \(\Rightarrow\) 231 Abzählbarkeit und Wohlordenbarkeit, Felgner, U. 1974, Comment. Math. Helv.

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

Howard-Rubin Number Statement
40:

\(C(WO,\infty)\):  Every well orderable set of non-empty sets has a choice function. Moore, G. [1982], p 325.

231:

\(UT(WO,WO,WO)\): The union of a well ordered collection of well orderable sets is well orderable.

Comment:

Back