OAI/LinearAlgebra/MatrixMultiplication/FieldConstruction/InitialEntropy.lean

GitHub source file

23 declarations, 0 contain sorry, 0 declared as axioms

Tensor extraction over arbitrary fields and its asymptotic rate.

  1. abbrev OAI.MatrixMultiplication.AllFieldInitialEntropy.PlacedInitial line 17
  2. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.placement_read_card line 19
  3. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.sum_placement_read line 23
  4. def OAI.MatrixMultiplication.AllFieldInitialEntropy.initialShapeCode line 30
  5. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.initialShapeCode_side line 33
  6. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.rootShape_eq_initialShapeCode line 38
  7. def OAI.MatrixMultiplication.AllFieldInitialEntropy.placedInitialLaw line 42
  8. def OAI.MatrixMultiplication.AllFieldInitialEntropy.orderedInitialLaw line 61
  9. def OAI.MatrixMultiplication.AllFieldInitialEntropy.nativeInitialMarginal line 64
  10. def OAI.MatrixMultiplication.AllFieldInitialEntropy.nativeH0 line 69
  11. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.nativeInitialMarginal_eq_list line 71
  12. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.sideMass_orderedInitialLaw line 80
  13. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.orderedInitialLaw_sideMass line 98
  14. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.nativeInitialMarginal_total line 124
  15. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.nativeInitialMarginal_nonneg line 127
  16. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.nativeH0_eq_finiteEntropy line 132
  17. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.orderedInitialLaw_side_entropy line 135
  18. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.ordinary_capacity_per_lot line 139
  19. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.ordinary_capacity_all_lots line 150
  20. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.population_cast_real line 159
  21. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.initialJointCounts_cast line 166
  22. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.initialJointCounts_ratio line 183
  23. theorem OAI.MatrixMultiplication.AllFieldInitialEntropy.initialJointCounts_sideMass line 194