OAI/LinearAlgebra/MatrixFields/Entropy/JointCompatibilityEntropyBound.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.classEntropy line 28
  2. def OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.classTypeError line 32
  3. theorem OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.fixedClassWords_size line 37
  4. theorem OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.abs_log_card_sub_classEntropy_le line 45
  5. theorem OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.fixedClassWords_card_le_exp line 53
  6. theorem OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.exp_le_fixedClassWords_card line 67
  7. def OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.wordTypeError line 84
  8. theorem OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.wordEntropyBound_eq_exp line 88
  9. def OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.groupedEntropy line 111
  10. def OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.groupedTypeError line 115
  11. theorem OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.prod_wordEntropyBound_eq_exp line 120
  12. def OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.compatibilityExponent line 145
  13. theorem OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.compatibleCandidateCount_le_exp line 154
  14. theorem OAI.MatrixAllFields.MatrixMultiplication.JointCompatibilityEntropyBound.log_compatibleCandidateCount_le line 197