Form Classes

Statement:

If \(S\) is a set of subsets of a countable set and \(S\) is closed under chain unions, then \(S\) has a \(\subseteq\)-maximal element.

Howard_Rubin_Number: 289

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:
Smullyan-1994: Double superinduction and Zorn's lemma

Book references

Note connections:
Note 102 Form 289 (If \(S\) is a set of subsets of acountable set and \(S\) is closed under chain unions, then \(S\) has a \(\subseteq\)-maximal element.) is false in \(\cal M1\).

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

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