OAI/Geometry/IsometricImmersion/Assembly/TensorSeriesLocality.lean

GitHub source file

21 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.SmoothLocal.Geometry.TensorMatrix line 14
  2. def OAI.SmoothLocal.Geometry.TensorJetCalculus.coefficient line 18
  3. theorem OAI.SmoothLocal.Geometry.TensorJetCalculus.coefficient_contDiff line 22
  4. theorem OAI.SmoothLocal.Geometry.TensorJetCalculus.coefficient_iteratedFDeriv line 26
  5. theorem OAI.SmoothLocal.Geometry.TensorJetCalculus.coefficient_coord_word line 36
  6. def OAI.SmoothLocal.Geometry.tensorPatchSum line 46
  7. theorem OAI.SmoothLocal.Geometry.tensorPatchSum_summable line 48
  8. theorem OAI.SmoothLocal.Geometry.tensorPatchSum_contDiff line 54
  9. theorem OAI.SmoothLocal.Geometry.tensorPatchSum_jets_zero_of_jets_zero line 61
  10. theorem OAI.SmoothLocal.Geometry.tensorPatchSum_jets_zero_off_each_support line 71
  11. theorem OAI.SmoothLocal.Geometry.tensorPatchSum_jets_eq_single line 80
  12. theorem OAI.SmoothLocal.Geometry.metric_add_coordinate_jets_eq_of_tensor_jets line 93
  13. theorem OAI.SmoothLocal.Geometry.metric_add_coordinate_jets_eq_of_zero_tensor_jets line 110
  14. theorem OAI.SmoothLocal.Geometry.smoothPositive_metric_add_of_tensor_contDiff line 123
  15. theorem OAI.SmoothLocal.Geometry.gaussianCurvature_add_eq_of_zero_tensor_jets line 131
  16. theorem OAI.SmoothLocal.Geometry.gaussianCurvature_add_eq_of_tensor_jets line 147
  17. theorem OAI.SmoothLocal.Geometry.tensorPatchSum_curvature_eq_of_zero_summand_jets line 166
  18. theorem OAI.SmoothLocal.Geometry.tensorPatchSum_metric_jets_off_carriers line 180
  19. theorem OAI.SmoothLocal.Geometry.tensorPatchSum_preserves_closed_disk line 196
  20. theorem OAI.SmoothLocal.Geometry.tensorPatchSum_zero_curvature_on_disk_frontier line 221
  21. theorem OAI.SmoothLocal.Geometry.tensorPatchSum_metric_jets_eq_single_off_other_carriers line 241