OAI/Geometry/CubicTorus/Estimates/NodalBalanceValue.lean

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32 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.CubicTorus.volumeSupport_coordinateReflection line 13
  2. lemma OAI.CubicTorus.openRepresentative_coordinateReflection line 29
  3. lemma OAI.CubicTorus.frontier_openRepresentative_coordinateReflection line 35
  4. lemma OAI.CubicTorus.frontier_reflection_invariant line 41
  5. lemma OAI.CubicTorus.coordinateReflection_fixed_of_sine_zero line 46
  6. theorem OAI.CubicTorus.isMinimizerAt_normal_coordinate_seam_zero line 70
  7. lemma OAI.CubicTorus.HasDerivAt.eq_zero_of_right_zero line 100
  8. lemma OAI.CubicTorus.HasDerivAt.neg_right_of_neg line 108
  9. lemma OAI.CubicTorus.plane_hasDerivAt_line line 117
  10. theorem OAI.CubicTorus.not_differentiable_nodal_splice line 125
  11. theorem OAI.CubicTorus.LinearCMCEquation.no_nodal_splice_frontier line 178
  12. theorem OAI.CubicTorus.isMinimizerAt_nodal_splice_closed line 217
  13. lemma OAI.CubicTorus.directionalNormalScalar_mean_zero line 361
  14. theorem OAI.CubicTorus.isMinimizerAt_translation_negative_point line 369
  15. def OAI.CubicTorus.surfaceNodalBalanceValue line 413
  16. lemma OAI.CubicTorus.surfaceNodalBalanceValue_measurable line 419
  17. lemma OAI.CubicTorus.surfaceNodalBalanceValue_continuousOn line 425
  18. lemma OAI.CubicTorus.surfaceNodalBalanceValue_ae line 431
  19. lemma OAI.CubicTorus.surfaceNodalBalanceValue_on_left line 448
  20. lemma OAI.CubicTorus.surfaceNodalBalanceValue_nonpos line 456
  21. lemma OAI.CubicTorus.IsPositiveNodalPiece.eq_inter_open line 485
  22. lemma OAI.CubicTorus.IsPositiveNodalPiece.subset line 495
  23. theorem OAI.CubicTorus.isMinimizerAt_positive_nodal_not_disjoint line 501
  24. theorem OAI.CubicTorus.Periodic.isMinimizerAt_positive_nodal_unique line 580
  25. lemma OAI.CubicTorus.positiveBoundaryLocus_preconnected line 608
  26. theorem OAI.CubicTorus.Periodic.isMinimizerAt_translation_nodal_count line 633
  27. theorem OAI.CubicTorus.Periodic.isMinimizerAt_standard_slab_or_translation_nodal_count line 656
  28. lemma OAI.CubicTorus.reflection_nodal_weak_sign line 682
  29. lemma OAI.CubicTorus.descent_coordinateSine_reflection line 705
  30. lemma OAI.CubicTorus.positiveNormal_preconnected line 712
  31. theorem OAI.CubicTorus.isMinimizerAt_normal_coordinate_weak_sign line 737
  32. theorem OAI.CubicTorus.LinearCMCEquation.nonneg_zero line 784