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Commit 2022-05-03 14:29 6d2788c2

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feat(analysis/calculus/cont_diff): cont_diff_succ_iff_fderiv_apply (#13797)

  • Prove that a map is C^(n+1) iff it is differentiable and all its directional derivatives in all points are C^n.
  • Also some supporting lemmas about continuous_linear_equiv.
  • We only manage to prove this when the domain is finite dimensional.
  • Prove one direction of cont_diff_on_succ_iff_fderiv_within with fewer assumptions
  • From the sphere eversion project Co-authored by: Patrick Massot patrick.massot@u-psud.fr Co-authored by: Oliver Nash github@olivernash.org

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