OAI/Analysis/CircleDomains/Sobolev/ContinuousScalarSobolev.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The continuous representative has the constructed planar weak gradient, and is Sobolev on every finite-area region.

  1. theorem OAI.CircleDomainRigidity.RetainedRealCircleModel.ScalarWeakLimit.eq_continuedScalar_planar_ae line 23
  2. theorem OAI.CircleDomainRigidity.RetainedRealCircleModel.ScalarWeakLimit.continuedScalar_memW1p_on line 32
  3. theorem OAI.CircleDomainRigidity.RetainedRealCircleModel.ScalarWeakLimit.continuedScalar_weak line 41