Implications

We have the following indirect implication of form equivalence classes:

385 \(\Rightarrow\) 385
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
385 \(\Rightarrow\) 385

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number Statement
385:

Countable Ultrafilter Theorem:  Every proper filter with a countable base over a set \(S\) (in \({\cal P}(S)\)) can be extended to an ultrafilter.

385:

Countable Ultrafilter Theorem:  Every proper filter with a countable base over a set \(S\) (in \({\cal P}(S)\)) can be extended to an ultrafilter.

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