OAI/Analysis/CircleDomains/Sobolev/SmoothCircleOscillation.lean

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Smooth circle variation controls a homeomorphic height on the enclosed disk. This is the boundary step of the logarithmic modulus estimate.

  1. def OAI.CircleDomainRigidity.smoothCircleVariation line 15
  2. theorem OAI.CircleDomainRigidity.smooth_circle_anchor_bound line 18
  3. theorem OAI.CircleDomainRigidity.smoothCircleVariation_sq_le line 38
  4. theorem OAI.CircleDomainRigidity.homeomorphic_pair_le_circle_variation line 47
  5. theorem OAI.CircleDomainRigidity.smooth_circle_deriv_sq_le line 79