We have the following indirect implication of form equivalence classes:
| Implication | Reference |
|---|---|
| 202 \(\Rightarrow\) 91 | note-75 |
| 91 \(\Rightarrow\) 37 | Equivalents of the Axiom of Choice II, Rubin, 1985, theorem 5.7 |
Here are the links and statements of the form equivalence classes referenced above:
| Howard-Rubin Number | Statement |
|---|---|
| 202: | \(C(LO,\infty)\): Every linearly ordered family of non-empty sets has a choice function. |
| 91: | \(PW\): The power set of a well ordered set can be well ordered. |
| 37: | Lebesgue measure is countably additive. |
Comment: