OAI/Geometry/CubicTorus/Curvature/LinearCMCEquationNear.lean

GitHub source file

31 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.CubicTorus.HolderNear.common_four line 16
  2. theorem OAI.CubicTorus.LinearCMCEquation.holderJet_two line 39
  3. lemma OAI.CubicTorus.contDiff_local_vector_cutoff line 83
  4. lemma OAI.CubicTorus.C2_gradient_contDiffOn line 95
  5. lemma OAI.CubicTorus.compact_C1_lipschitz line 114
  6. lemma OAI.CubicTorus.HolderJet.extension line 133
  7. def OAI.CubicTorus.LinearCMCEquationNear line 173
  8. lemma OAI.CubicTorus.LinearCMCEquationNear.congr line 176
  9. lemma OAI.CubicTorus.cmc_symbol_lipschitz line 186
  10. theorem OAI.CubicTorus.LinearCMCEquationNear.holderJet_two line 199
  11. theorem OAI.CubicTorus.LinearCMCEquation.classical_derivative line 226
  12. def OAI.CubicTorus.linearCMCSource line 266
  13. theorem OAI.CubicTorus.LinearCMCEquationNear.derivative line 269
  14. lemma OAI.CubicTorus.HolderJet.linearSource line 295
  15. theorem OAI.CubicTorus.LinearCMCEquationNear.schauder line 314
  16. theorem OAI.CubicTorus.WeakCMCGraph.directional_holder_C1 line 343
  17. theorem OAI.CubicTorus.WeakCMCGraph.holderJet_two line 395
  18. theorem OAI.CubicTorus.WeakCMCGraph.directional_linear_near line 421
  19. theorem OAI.CubicTorus.WeakCMCGraph.holderJet_all line 469
  20. theorem OAI.CubicTorus.WeakCMCGraph.smoothAt_zero line 488
  21. theorem OAI.CubicTorus.WeakCMCGraph.C2_smooth line 518
  22. def OAI.CubicTorus.planeDivergence line 562
  23. lemma OAI.CubicTorus.planeDivergence_continuous line 566
  24. lemma OAI.CubicTorus.plane_component_fderiv line 574
  25. lemma OAI.CubicTorus.plane_divergence_integration_by_parts line 584
  26. lemma OAI.CubicTorus.classical_divergence_of_weak line 607
  27. theorem OAI.CubicTorus.WeakCMCGraph.classical line 630
  28. lemma OAI.CubicTorus.normalGraphDerivative_contDiffOn line 677
  29. lemma OAI.CubicTorus.normalGraphDerivative_lipschitz line 688
  30. theorem OAI.CubicTorus.BoundaryNormalChart.graph_derivative_modulus line 693
  31. theorem OAI.CubicTorus.MovingCenter.isMinimizerAt_moving_C1_modulus line 747