We have the following indirect implication of form equivalence classes:
Implication | Reference |
---|---|
1 \(\Rightarrow\) 276 |
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. |
276: | \(E(V'',III)\): For every set \(A\), \({\cal P}(A)\) is Dedekind finite if and only if \(A = \emptyset\) or \(2|{\cal P}(A)| > |{\cal P}(A)|\). \ac{Howard/Spi\u siak} \cite{1994}. |
Comment: