OAI/LinearAlgebra/MatrixMultiplication/JointExtraction/EntropyMax.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

Joint tensor extraction, compatibility and entropy estimates.

  1. theorem OAI.MatrixMultiplication.JointEntropyMax.entropy_nonneg line 15
  2. theorem OAI.MatrixMultiplication.JointEntropyMax.map_entropy_le line 19
  3. theorem OAI.MatrixMultiplication.JointEntropyMax.entropy_sub_map_nonneg line 24
  4. theorem OAI.MatrixMultiplication.JointEntropyMax.entropyTerm_le_crossEntropyTerm line 29
  5. theorem OAI.MatrixMultiplication.JointEntropyMax.entropy_le_crossEntropy line 43
  6. theorem OAI.MatrixMultiplication.JointEntropyMax.sum_mass_mul_coordinate line 54
  7. theorem OAI.MatrixMultiplication.JointEntropyMax.sum_mass_mul_coordinate_eq line 62
  8. theorem OAI.MatrixMultiplication.JointEntropyMax.entropy_le_of_three_marginals line 68
  9. def OAI.MatrixMultiplication.JointEntropyMax.normalizedPositiveLaw line 101
  10. theorem OAI.MatrixMultiplication.JointEntropyMax.normalizedPositiveLaw_mass_pos line 111
  11. theorem OAI.MatrixMultiplication.JointEntropyMax.entropy_le_normalized_product line 117