OAI/Analysis/Conductivity/Geometry/TorusDirectionalDerivative.lean

GitHub source file

16 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.ScalarConductivity.TorusRealPlane line 16
  2. def OAI.ScalarConductivity.torusRealProjection line 18
  3. def OAI.ScalarConductivity.torusRealRepresentative line 19
  4. lemma OAI.ScalarConductivity.continuous_torusRealProjection line 22
  5. lemma OAI.ScalarConductivity.measurable_torusRealRepresentative line 27
  6. lemma OAI.ScalarConductivity.torusRealProjection_representative line 30
  7. lemma OAI.ScalarConductivity.torusRealProjection_add line 34
  8. lemma OAI.ScalarConductivity.torusRealProjection_direction line 39
  9. lemma OAI.ScalarConductivity.torusRealRepresentative_ae line 44
  10. lemma OAI.ScalarConductivity.torusRealLift_lipschitz line 53
  11. def OAI.ScalarConductivity.torusDirectionalDerivative line 81
  12. lemma OAI.ScalarConductivity.torusDirectionalDerivative_eq line 85
  13. lemma OAI.ScalarConductivity.measurable_torusDirectionalDerivative line 94
  14. lemma OAI.ScalarConductivity.torusDirectionalDerivative_ae line 98
  15. lemma OAI.ScalarConductivity.torusDirectionalDerivative_norm line 111
  16. theorem OAI.ScalarConductivity.torusDirectionalDerivative_fourier line 120