Implications

We have the following indirect implication of form equivalence classes:

1 \(\Rightarrow\) 162
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
1 \(\Rightarrow\) 162

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

Howard-Rubin Number Statement
1:

\(C(\infty,\infty)\):  The Axiom of Choice: Every  set  of  non-empty sets has a choice function.

162:

Non-existence of infinite units: There is no infinite cardinal number \(A\) such that \(A + A > A\)  and for all cardinals \(x\) and \(y\), \(x + y = A\rightarrow x = A\) or \(y = A\).

Comment:

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