OAI/LinearAlgebra/MatrixMultiplication/JointExtraction/AmbientEntropy.lean

GitHub source file

24 declarations, 0 contain sorry, 0 declared as axioms

Joint tensor extraction, compatibility and entropy estimates.

  1. def OAI.MatrixMultiplication.JointAmbientEntropy.empiricalFiniteLaw line 23
  2. theorem OAI.MatrixMultiplication.JointAmbientEntropy.empiricalFiniteLaw_mass line 31
  3. theorem OAI.MatrixMultiplication.JointAmbientEntropy.empiricalFiniteLaw_map_mass line 36
  4. theorem OAI.MatrixMultiplication.JointAmbientEntropy.empiricalFiniteLaw_supported line 45
  5. def OAI.MatrixMultiplication.JointAmbientEntropy.canonicalLaw line 60
  6. theorem OAI.MatrixMultiplication.JointAmbientEntropy.canonicalLaw_mass_of_pos line 66
  7. theorem OAI.MatrixMultiplication.JointAmbientEntropy.total_mul_canonicalLaw_mass line 74
  8. theorem OAI.MatrixMultiplication.JointAmbientEntropy.localAllowed_marginal_eq line 90
  9. def OAI.MatrixMultiplication.JointAmbientEntropy.gibbsCap line 101
  10. theorem OAI.MatrixMultiplication.JointAmbientEntropy.gibbsCap_nonneg line 108
  11. theorem OAI.MatrixMultiplication.JointAmbientEntropy.localAllowed_entropy_le_of_word_support line 115
  12. theorem OAI.MatrixMultiplication.JointAmbientEntropy.localAllowed_entropy_le line 141
  13. theorem OAI.MatrixMultiplication.JointAmbientEntropy.sharedAmbient_card_le_of_supported_gibbs line 153
  14. theorem OAI.MatrixMultiplication.JointAmbientEntropy.neighbors_card_le_of_supported_gibbs line 165
  15. theorem OAI.MatrixMultiplication.JointAmbientEntropy.sharedAmbient_card_le_of_gibbs line 178
  16. theorem OAI.MatrixMultiplication.JointAmbientEntropy.neighbors_card_le_of_gibbs line 190
  17. def OAI.MatrixMultiplication.JointAmbientEntropy.classScale line 203
  18. theorem OAI.MatrixMultiplication.JointAmbientEntropy.classScale_nonneg line 207
  19. theorem OAI.MatrixMultiplication.JointAmbientEntropy.classScale_mul_canonicalLaw_mass line 211
  20. theorem OAI.MatrixMultiplication.JointAmbientEntropy.classScale_mul_canonicalLaw_map_mass line 220
  21. theorem OAI.MatrixMultiplication.JointAmbientEntropy.classScale_mul_marginalError line 233
  22. theorem OAI.MatrixMultiplication.JointAmbientEntropy.tendsto_classScale line 251
  23. theorem OAI.MatrixMultiplication.JointAmbientEntropy.tendsto_classScale_mul_marginalError line 260
  24. theorem OAI.MatrixMultiplication.JointAmbientEntropy.tendsto_classScale_mul_gibbsCap line 288