Implications

We have the following indirect implication of form equivalence classes:

1 \(\Rightarrow\) 105
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
1 \(\Rightarrow\) 105

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.

105:

There is a  partially ordered set \((A,\le)\) such that for no set \(B\) is \((B,\le)\) (the ordering  on \(B\) is the usual injective cardinal ordering) isomorphic to \((A,\le)\).

Comment:

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