Implications

We have the following indirect implication of form equivalence classes:

100 \(\Rightarrow\) 93
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
100 \(\Rightarrow\) 93 Communication sur les recherches de la th'eorie des ensembles, Lindenbaum, A. 1926, C. R. Soc. Sci. Lett. Varsovie
Zermelo's Axiom of Choice, Moore, [1982]

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

Howard-Rubin Number Statement
100:

Weak Partition Principle:  For all sets \(x\) and \(y\), if \(x\precsim^* y\), then it is not the case that \(y\prec x\).

93:

There is a non-measurable subset of \({\Bbb R}\).

Comment:

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