Statement:

Cardinality of well ordered subsets:  For all \(n\in\omega\) and for all infinite \(x\), \(|x^n| < |s(x)|\) where \(s(x)\) is the set of all well orderable subsets of \(x\).

Howard_Rubin_Number: 283

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:
Truss-1973d: The well-ordered and well-orderable subsets of a set

Book references

Note connections:

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

Back