Statement:

For every infinite set \(S\), if \(S\) is hereditarily countable  (that is, every \(y\in TC(S)\) is countable) then \(|TC(S)|= \aleph_{0}\).

Howard_Rubin_Number: 172

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:
Jech-1982: On hereditarily countable sets

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 34, 1,

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