Statement:

If \(G\) is a group and \(X\) and \(Y\) both freely generate \(G\) then \(|X| = |Y|\).

Howard_Rubin_Number: 348

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:
Federer-Jonsson-1950: Some properties of free groups
Howard-1985: Subgroups of a free group and the axiom of choice

Book references

Note connections:

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

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