OAI/Geometry/IsometricImmersion/Curvature/InitialCurvature.lean

GitHub source file

21 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.SmoothLocal.Geometry.initialCurvatureBudget line 13
  2. theorem OAI.SmoothLocal.Geometry.initialCurvatureBudget_pos line 15
  3. def OAI.SmoothLocal.Geometry.initialCurvatureAmplitudes line 18
  4. theorem OAI.SmoothLocal.Geometry.initialCurvatureAmplitudes_pos line 23
  5. def OAI.SmoothLocal.Geometry.initialCurvatureTerm line 28
  6. theorem OAI.SmoothLocal.Geometry.initialCurvatureTerm_derivative_bound line 31
  7. theorem OAI.SmoothLocal.Geometry.initialCurvatureTerm_contDiff line 37
  8. theorem OAI.SmoothLocal.Geometry.initialCurvatureTerm_tsupport line 40
  9. theorem OAI.SmoothLocal.Geometry.initialCurvatureTerm_hasCompactSupport line 44
  10. def OAI.SmoothLocal.Geometry.initialCurvature line 50
  11. theorem OAI.SmoothLocal.Geometry.initialCurvature_summable line 52
  12. theorem OAI.SmoothLocal.Geometry.initialCurvature_contDiff line 55
  13. theorem OAI.SmoothLocal.Geometry.initialCurvature_abs_le line 59
  14. theorem OAI.SmoothLocal.Geometry.initialCurvature_small line 64
  15. theorem OAI.SmoothLocal.Geometry.initialCurvature_all_jets_zero line 67
  16. theorem OAI.SmoothLocal.Geometry.initialCurvature_eq_profile line 75
  17. theorem OAI.SmoothLocal.Geometry.initialCurvature_negative_on_disk_interior line 84
  18. theorem OAI.SmoothLocal.Geometry.initialCurvature_zero_on_disk_frontier line 90
  19. def OAI.SmoothLocal.Geometry.initialPatchAmplitude line 98
  20. theorem OAI.SmoothLocal.Geometry.initialPatchAmplitude_pos line 102
  21. theorem OAI.SmoothLocal.Geometry.initialCurvature_model_on_patch line 106