OAI/Analysis/CircleDomains/Sobolev/SobolevClassicalPartials.lean

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On almost every coordinate line, the classical derivative of the continuous Sobolev representative equals its actual weak partial.

  1. lemma OAI.CircleDomainRigidity.locallyIntegrable_of_intervalIntegrable line 13
  2. lemma OAI.CircleDomainRigidity.ae_hasDerivAt_of_integral_increments line 19
  3. lemma OAI.CircleDomainRigidity.sobolev_coordinate_ae_hasDerivAt line 31