We have the following indirect implication of form equivalence classes:

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

Implication Reference
252 \(\Rightarrow\) 93 consequence of the axiom of choice, Ash, C. J. 1975, J. Austral. Math. Soc. Ser. A.

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

Howard-Rubin Number Statement
252:

The additive groups of \(\Bbb Q\oplus\Bbb R\) and \(\Bbb R\) are isomorphic.

93:

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

Comment:

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