Statement:

\((\forall \alpha)(UT(\aleph_{\alpha},\aleph_{\alpha}, \aleph_{\alpha}))\): For every ordinal \(\alpha\), if \(A\) and every member of \(A\) has cardinality \(\aleph_{\alpha}\), then \(|\bigcup A| = \aleph _{\alpha }\).

Howard_Rubin_Number: 23

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:

Book references
Zermelo's Axiom of Choice, Moore, G.H., 1982

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 23, 29, 30, 99, 132, 76, 253, 304, 21, 25, 27, 125, 53, 69, 45-n, 64, 84, 118, 124, 126, 127, 128, 146, 147, 155, 156, 177, 200, 267, 290, 291, 322, 323, 328, 329, 349, 344, 356, 390, 151, 157, 278, 106, 131, 355, 207-alpha, 97, 59-le,

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