Statement:  

\(W_{\aleph_{\alpha}}\): \((\forall x)(|x|\le\aleph_{\alpha }\) or \(|x|\ge \aleph_{\alpha})\). Jech [1973b], page 119.

Howard_Rubin_Number: 71-alpha

Parameter(s): This form depends on the following parameter(s): \(\beta\), \(\beta\): ordinal number

This form's transferability is: Transferable

This form's negation transferability is: Negation Transferable

Article Citations:
Levy-1964: The interdependence of certain consequences of the axiom of choice
Pelc-1978: On some weak forms of the axiom of choice in set theory

Book references
The Axiom of Choice, Jech, T., 1973b

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 8, 9, 43, 193, 344, 388, 106, 183-alpha,

Back