OAI/Geometry/PolarProducts/TensorCalculus.lean

GitHub source file

23 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.TensorCalculus.TwoTensor line 29
  2. def OAI.TensorCalculus.evalTensor line 32
  3. theorem OAI.TensorCalculus.evalTensor_apply line 36
  4. theorem OAI.TensorCalculus.fderiv_evalTensor line 39
  5. theorem OAI.TensorCalculus.fderiv_skew line 47
  6. theorem OAI.TensorCalculus.derivative_kernel line 55
  7. theorem OAI.TensorCalculus.invariant_of_closed_kernel line 68
  8. theorem OAI.TensorCalculus.fderiv_skew_at line 83
  9. theorem OAI.TensorCalculus.derivative_kernel_at line 92
  10. theorem OAI.TensorCalculus.invariant_of_closed_kernel_at line 104
  11. def OAI.TensorCalculus.alt line 119
  12. theorem OAI.TensorCalculus.alt_apply line 123
  13. def OAI.TensorCalculus.exteriorD line 126
  14. theorem OAI.TensorCalculus.exteriorD_apply line 129
  15. theorem OAI.TensorCalculus.exteriorD_skew line 132
  16. theorem OAI.TensorCalculus.fderiv_exteriorD line 136
  17. theorem OAI.TensorCalculus.contDiff_exteriorD line 144
  18. theorem OAI.TensorCalculus.exteriorD_closed line 149
  19. def OAI.TensorCalculus.pullLinear line 179
  20. theorem OAI.TensorCalculus.pullLinear_apply line 182
  21. theorem OAI.TensorCalculus.contDiffAt_pullLinear line 185
  22. theorem OAI.TensorCalculus.fderiv_pullLinear_eval line 193
  23. theorem OAI.TensorCalculus.pullLinear_closed line 201