Axiom Of Choice

We have the following indirect implication of form equivalence classes:

236 \(\Rightarrow\) 236 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
236 \(\Rightarrow\) 236

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

Howard-Rubin Number	Statement
236:	If \(V\) is a vector space with a basis and \(S\) is a linearly independent subset of \(V\) such that no proper extension of \(S\) is a basis for \(V\), then \(S\) is a basis for \(V\).
236:	If \(V\) is a vector space with a basis and \(S\) is a linearly independent subset of \(V\) such that no proper extension of \(S\) is a basis for \(V\), then \(S\) is a basis for \(V\).

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