OAI/LinearAlgebra/MatrixMultiplication/Completion/ProductLaws.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Readable tensor completion and its finite arithmetic realization.

  1. def OAI.MatrixMultiplication.CompletionProductLaws.independentProduct line 18
  2. theorem OAI.MatrixMultiplication.CompletionProductLaws.independentProduct_mass line 25
  3. theorem OAI.MatrixMultiplication.CompletionProductLaws.entropyTerm_prod line 28
  4. theorem OAI.MatrixMultiplication.CompletionProductLaws.independentProduct_entropy line 51
  5. theorem OAI.MatrixMultiplication.CompletionProductLaws.prod_update_eval line 70
  6. theorem OAI.MatrixMultiplication.CompletionProductLaws.independentProduct_coordinate_expectation line 82
  7. theorem OAI.MatrixMultiplication.CompletionProductLaws.independentProduct_coordinate_mass line 111
  8. theorem OAI.MatrixMultiplication.CompletionProductLaws.independentProduct_map_mass line 126
  9. theorem OAI.MatrixMultiplication.CompletionProductLaws.independentProduct_map_entropy line 149
  10. def OAI.MatrixMultiplication.CompletionProductLaws.sigmaJoint line 160
  11. theorem OAI.MatrixMultiplication.CompletionProductLaws.sigmaJoint_mass line 166
  12. theorem OAI.MatrixMultiplication.CompletionProductLaws.sigmaJoint_entropy line 170
  13. theorem OAI.MatrixMultiplication.CompletionProductLaws.sigmaJoint_fst_mass line 176
  14. theorem OAI.MatrixMultiplication.CompletionProductLaws.sigmaJoint_map_mass line 183