Implications

We have the following indirect implication of form equivalence classes:

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

Implication Reference
88 \(\Rightarrow\) 93 The Axiom of Choice, Jech, 1973b, page 7 problem 10

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

Howard-Rubin Number Statement
88:

  \(C(\infty ,2)\):  Every family of pairs has a choice function.

93:

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

Comment:

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