Statement:

Existence of successor cardinals: For every cardinal \(m\) there is a cardinal \(n\) such that \(m < n\) and \((\forall p < n)(p \le m)\).

Howard_Rubin_Number: 2

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:
Tarski-1954a: Theorems on the existence of successors of cardinals and the axiom of choice

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 2, 3, 1,

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