OAI/Analysis/CircleDomains/Sobolev/HolomorphicScalarEnergy.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The two real coordinate differentials of a holomorphic map have the same pointwise squared norm as its complex derivative.

  1. theorem OAI.CircleDomainRigidity.holomorphic_real_fderiv_norm_sq line 13
  2. theorem OAI.CircleDomainRigidity.holomorphic_imag_fderiv_norm_sq line 25
  3. theorem OAI.CircleDomainRigidity.holomorphic_coordinate_memLp line 37