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How is the Implicit Function Theorem listed here (http://ocw.mit.edu/courses/mathemat...anifolds-fall-2004/lecture-notes/lecture4.pdf) a generalization of the usual one seen in multivariable calculus (see https://en.wikipedia.org/wiki/Implicit_function_theorem)? [Broken] I've also looked at the Banach space version listed in the Wikipedia article, but I still can't figure out how the version on OCW relates to it.

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