Statement:

If \(S\) is well ordered, \(\{A_{x}: x\in S\}\) and \(\{B_{x}: x\in S\}\) are families of pairwise disjoint sets, and \(|A_{x}| = |B_{x}|\) for all \(x\in S\), then \(|\bigcup_{x\in S}A_{x}|= |\bigcup_{x\in S} B_{x}|\). G\.

Howard_Rubin_Number: 21

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, 20, 21, 1,

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