We have the following indirect implication of form equivalence classes:
| Implication | Reference |
|---|---|
| 92 \(\Rightarrow\) 170 |
Non-constructive properties of the real numbers, Howard, P. 2001, Math. Logic Quart. |
Here are the links and statements of the form equivalence classes referenced above:
| Howard-Rubin Number | Statement |
|---|---|
| 92: | \(C(WO,{\Bbb R})\): Every well ordered family of non-empty subsets of \({\Bbb R}\) has a choice function. |
| 170: | \(\aleph_{1}\le 2^{\aleph_{0}}\). |
Comment: