Statement:

Non-existence of infinite units: There is no infinite cardinal number \(A\) such that \(A + A > A\)  and for all cardinals \(x\) and \(y\), \(x + y = A\rightarrow x = A\) or \(y = A\).

Howard_Rubin_Number: 162

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:
Haussler-1983: Defining cardinal addition by \(le\)-formulas

Book references

Note connections:

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

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