Statement:

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

Howard_Rubin_Number: 385

Parameter(s): This form does not depend on parameters

This form's transferability is: Unknown

This form's negation transferability is: Negation Transferable

Article Citations:
Herrlich-Keremedis-1999a: Products, the Baire category theorem, and the axiom of dependent choice

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 70, 386, 406,

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