Every Vector Space has a Basis
# Statement
Let $V$ be a Vector Space. There exists a Vector Space Basis $S \subset V$.
# Proof
TODO - requires Zorn’s Lemma and A Set is a Basis iff it is a Maximal Linearly Independent Set.
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Let $V$ be a Vector Space. There exists a Vector Space Basis $S \subset V$.
TODO - requires Zorn’s Lemma and A Set is a Basis iff it is a Maximal Linearly Independent Set.