refactor(analysis/calculus/mean_value): prove the mean value theorem using 1D derivative #1740
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…using 1D derivative
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gebner
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It would be nice to use more dot notation in |
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… using 1D derivative (leanprover-community#1740) * refactor(analysis/calculus/mean_value): prove the mean value theorem using 1D derivative * docstring * use iff.rfl * fix build * fix docstring
anrddh
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… using 1D derivative (leanprover-community#1740) * refactor(analysis/calculus/mean_value): prove the mean value theorem using 1D derivative * docstring * use iff.rfl * fix build * fix docstring
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The proof of the mean value inequality was convoluted due to the use of the general Fréchet derivative. It becomes more natural when written in terms of one-dimensional derivatives, recently introduced in mathlib. This is done in the PR, adding along the way some missing bits on one-dimensional derivatives and some documentation.