Statement:

Löwenheim-Skolem Theorem: If a countable family of first order  sentences is satisfiable in a set \(M\) then it is satisfiable in a countable subset of \(M\). (See Moore, G. [1982], p. 251 for references.

Howard_Rubin_Number: 42

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:

Book references
Zermelo's Axiom of Choice, Moore, G.H., 1982

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 42, 371,

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