Statement:

If \(V\) is a vector space without a finite basis then \(V\) contains an infinite, well ordered, linearly independent subset.

Howard_Rubin_Number: 346

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:
Keremedis-2001a: The vector space Kinna-Wagner Principle is equivalent to the axiom of choice

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 18, 126, 373-n,

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