OAI/Algebra/FiniteTensor/TensorForms.lean

GitHub source file

21 declarations, 0 contain sorry, 0 declared as axioms

Tensor products of differential forms and head-tail tensor equivalences.

  1. def OAI.PD4Tensor.TruncatedForms.inlForm line 19
  2. def OAI.PD4Tensor.TruncatedForms.inrForm line 21
  3. def OAI.PD4Tensor.TruncatedForms.productEquiv line 25
  4. theorem OAI.PD4Tensor.TruncatedForms.productEquiv_tmul line 30
  5. theorem OAI.PD4Tensor.TruncatedForms.parity_inlForm line 46
  6. theorem OAI.PD4Tensor.TruncatedForms.parity_inrForm line 52
  7. theorem OAI.PD4Tensor.TruncatedForms.D_inlForm line 60
  8. theorem OAI.PD4Tensor.TruncatedForms.D_inrForm line 72
  9. theorem OAI.PD4Tensor.TruncatedForms.D_product line 85
  10. theorem OAI.PD4Tensor.TruncatedForms.inlForm_scalar line 102
  11. theorem OAI.PD4Tensor.TruncatedForms.inrForm_scalar line 107
  12. theorem OAI.PD4Tensor.TruncatedForms.D_scalar_anticommute line 112
  13. theorem OAI.PD4Tensor.TruncatedForms.koszul_product line 119
  14. theorem OAI.PD4Tensor.TruncatedForms.mulScalar_product_left line 135
  15. theorem OAI.PD4Tensor.TruncatedForms.mulScalar_product_right line 142
  16. def OAI.PD4Tensor.headTailTo line 160
  17. def OAI.PD4Tensor.headTailFrom line 166
  18. theorem OAI.PD4Tensor.headTailTo_tprod line 169
  19. theorem OAI.PD4Tensor.headTailFrom_tmul line 175
  20. def OAI.PD4Tensor.headTailEquiv line 180
  21. theorem OAI.PD4Tensor.headTailEquiv_tprod line 198