Let B be a basis for a vector space V (with an uncountable dimension!) over a field F, and let K be a linearly independent subset of V. Prove that there exists a subset S of B such that K U S is a basis for V.(adsbygoogle = window.adsbygoogle || []).push({});

I had to struggle a bit for this one. But I think I got it.

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# One more transfinite induction problem

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