We have the following indirect implication of form equivalence classes:

66 \(\Rightarrow\) 66
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
66 \(\Rightarrow\) 66 Eine Basis aller Zahlen und die unstetigen Losungen der Functionalgleichung: \(f(x+y) = f(x) + f(y)\), Hamel, G. 1905, Math. Ann.

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number Statement
66:

Every vector space over a field has a basis.

66:

Every vector space over a field has a basis.

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