OAI/LinearAlgebra/MatrixMultiplication/Tensor/LeafVolumes.lean

GitHub source file

22 declarations, 0 contain sorry, 0 declared as axioms

Finite coefficient tensors and their algebraic transformations.

  1. def OAI.MatrixMultiplication.LeafVolumes.zeroXMatching line 15
  2. def OAI.MatrixMultiplication.LeafVolumes.zeroYMatching line 16
  3. def OAI.MatrixMultiplication.LeafVolumes.zeroZMatching line 17
  4. theorem OAI.MatrixMultiplication.LeafVolumes.zeroXMatching_matrixCoefficients line 19
  5. theorem OAI.MatrixMultiplication.LeafVolumes.zeroYMatching_matrixCoefficients line 27
  6. theorem OAI.MatrixMultiplication.LeafVolumes.zeroZMatching_matrixCoefficients line 35
  7. def OAI.MatrixMultiplication.LeafVolumes.complementaryMatching line 43
  8. theorem OAI.MatrixMultiplication.LeafVolumes.complementaryMatching_pullback line 46
  9. theorem OAI.MatrixMultiplication.LeafVolumes.zeroXMatching_subtype line 52
  10. theorem OAI.MatrixMultiplication.LeafVolumes.matchingPower_leaf line 59
  11. theorem OAI.MatrixMultiplication.LeafVolumes.matchingPower_matrixCoefficients line 71
  12. theorem OAI.MatrixMultiplication.LeafVolumes.rankAtMost_matchingPower_leaf line 88
  13. abbrev OAI.MatrixMultiplication.LeafVolumes.LabeledExactWords line 101
  14. theorem OAI.MatrixMultiplication.LeafVolumes.labelings_card line 104
  15. theorem OAI.MatrixMultiplication.LeafVolumes.labeledExactWords_card line 119
  16. theorem OAI.MatrixMultiplication.LeafVolumes.labeledExactWords_card_pos line 133
  17. structure OAI.MatrixMultiplication.LeafVolumes.Dimensions line 147
  18. def OAI.MatrixMultiplication.LeafVolumes.Dimensions.volume line 153
  19. def OAI.MatrixMultiplication.LeafVolumes.Dimensions.product line 155
  20. theorem OAI.MatrixMultiplication.LeafVolumes.Dimensions.volume_product line 158
  21. def OAI.MatrixMultiplication.LeafVolumes.historyDimensions line 163
  22. theorem OAI.MatrixMultiplication.LeafVolumes.historyDimensions_volume line 166