OAI/Analysis/CircleDomains/Sobolev/ClippedDirectionalDerivative.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Clipped smooth functions have consistent ordinary directional partials, including at the two clipping levels.

  1. theorem OAI.CircleDomainRigidity.fderiv_clipScalar_eq_ite line 11
  2. theorem OAI.CircleDomainRigidity.deriv_clipScalar_comp_curve line 36
  3. theorem OAI.CircleDomainRigidity.deriv_eq_fderiv_of_eventuallyEq_clip line 47