OAI/Analysis/CircleDomains/Sobolev/ClippedScalarEnergy.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Clipping the transferred scalar preserves its source values and does not increase its actual differential energy, including on the clipping levels.

  1. theorem OAI.CircleDomainRigidity.clipScalar_of_nonpos line 14
  2. theorem OAI.CircleDomainRigidity.clipScalar_of_one_le line 17
  3. theorem OAI.CircleDomainRigidity.fderiv_clipScalar_comp line 20
  4. theorem OAI.CircleDomainRigidity.euclideanGradientEnergy_clipScalar_le line 43
  5. theorem OAI.CircleDomainRigidity.RetainedRealCircleModel.HoleFilling.filled_gradient_le line 59