We have the following indirect implication of form equivalence classes:
Implication | Reference |
---|---|
1 \(\Rightarrow\) 71-alpha |
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. |
71-alpha: | \(W_{\aleph_{\alpha}}\): \((\forall x)(|x|\le\aleph_{\alpha }\) or \(|x|\ge \aleph_{\alpha})\). Jech [1973b], page 119. |
Comment: