Statement:

If \(m\) is the cardinality of the set of Vitali equivalence classes, then \(H(m) = H(2^{\aleph_0})\), where \(H\) is Hartogs aleph function and the {\it Vitali equivalence classes} are equivalence classes of the real numbers under the relation \(x\equiv y\leftrightarrow(\exists q\in {\Bbb Q})(x-y=q)\).

Howard_Rubin_Number: 307

Parameter(s): This form does not depend on parameters

This form's transferability is: Transferable

This form's negation transferability is: Negation Transferable

Article Citations:
Kanovei-1991: Cardinality of the set of Vitali equivalence classes

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 93, 163, 234, 281, 277, 280, 318, 344, 224, 312,

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