OAI/LinearAlgebra/MatrixFields/Entropy/ParametersHalfLaws.lean

GitHub source file

26 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.stageBLaw_nonnegative line 15
  2. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.orderedPairs_mem_iff line 20
  3. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.zeroPairLaw_nonnegative line 30
  4. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.zeroPairLaw_full_normalized line 37
  5. def OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.positiveHalfLaw line 52
  6. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.positiveHalfLaw_nonnegative line 56
  7. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.sum_pair_mixture line 64
  8. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.positiveHalfLaw_normalized line 81
  9. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.stageB_complement_permutation line 88
  10. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.stageB_complement_involution line 91
  11. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.positiveHalfLaw_swap line 96
  12. def OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.halfMaxAxis line 111
  13. def OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.halfLaw line 114
  14. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.halfLaw_positive_parent line 120
  15. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.halfLaw_swap line 125
  16. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.halfLaw_nonnegative line 139
  17. def OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.kappaEquiv line 149
  18. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.sum_pair_kappa line 155
  19. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.halfLaw_normalized line 159
  20. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.positiveHalfLaw_outside_support line 175
  21. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.halfMaxAxis_spec line 200
  22. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.zero_other_axis_spec line 203
  23. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.statisticWeight_le_four line 206
  24. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.halfLaw_outside_support line 210
  25. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.zero_nonzero_axes_distinguished line 240
  26. theorem OAI.MatrixAllFields.MatrixMultiplication.AllFieldParameters.halfLaw_zero_complement line 244