Statement:

\(UT(WO,WO,WO)\): The union of a well ordered collection of well orderable sets is well orderable.

Howard_Rubin_Number: 231

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:
Tsukada-1977: Cardinals and the Boolean prime ideal theorem

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 18, 34, 32, 165, 273, 88, 338, 421, 151, 294, 59-le,

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Complete List of Equivalent Forms

Howard-Rubin Number Statement References
231 A

Every almost well orderable set (\(W\)-set) is well orderable.


Note [25]