Statement:

For every uncountable set \(A\), if \(A\) has the same cardinality as each of its uncountable subsets then \(|A| = \aleph_1\).

Howard_Rubin_Number: 365

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:
Sierpi'nski-1918: L’axiome de M. Zermelo et son rˆole dans la th´eorie des ensembles et l’analyse

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1:

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