OAI/LinearAlgebra/MatrixMultiplication/JointExtraction/CompatibilityEntropyBound.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Joint tensor extraction, compatibility and entropy estimates.

  1. def OAI.MatrixMultiplication.JointCompatibilityEntropyBound.classEntropy line 24
  2. def OAI.MatrixMultiplication.JointCompatibilityEntropyBound.classTypeError line 28
  3. theorem OAI.MatrixMultiplication.JointCompatibilityEntropyBound.fixedClassWords_size line 33
  4. theorem OAI.MatrixMultiplication.JointCompatibilityEntropyBound.abs_log_card_sub_classEntropy_le line 41
  5. theorem OAI.MatrixMultiplication.JointCompatibilityEntropyBound.fixedClassWords_card_le_exp line 49
  6. theorem OAI.MatrixMultiplication.JointCompatibilityEntropyBound.exp_le_fixedClassWords_card line 63
  7. def OAI.MatrixMultiplication.JointCompatibilityEntropyBound.wordTypeError line 80
  8. theorem OAI.MatrixMultiplication.JointCompatibilityEntropyBound.wordEntropyBound_eq_exp line 84
  9. def OAI.MatrixMultiplication.JointCompatibilityEntropyBound.groupedEntropy line 107
  10. def OAI.MatrixMultiplication.JointCompatibilityEntropyBound.groupedTypeError line 111
  11. theorem OAI.MatrixMultiplication.JointCompatibilityEntropyBound.prod_wordEntropyBound_eq_exp line 117
  12. def OAI.MatrixMultiplication.JointCompatibilityEntropyBound.compatibilityExponent line 142
  13. theorem OAI.MatrixMultiplication.JointCompatibilityEntropyBound.compatibleCandidateCount_le_exp line 151
  14. theorem OAI.MatrixMultiplication.JointCompatibilityEntropyBound.log_compatibleCandidateCount_le line 194