OAI/Analysis/FreeEntropy/MatrixFlow.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.FiniteEntropySeparation.normalizedMatrixEntropy line 10
  2. theorem OAI.FiniteEntropySeparation.normalizedMatrixEntropy_hasDeriv line 12
  3. theorem OAI.FiniteEntropySeparation.normalizedMatrixFisher_nonneg line 25
  4. theorem OAI.FiniteEntropySeparation.normalizedMatrixEntropy_continuousOn line 28
  5. theorem OAI.FiniteEntropySeparation.normalizedMatrixFisher_measurable line 32
  6. theorem OAI.FiniteEntropySeparation.normalizedMatrixFisher_intervalIntegrable line 40
  7. theorem OAI.FiniteEntropySeparation.normalizedMatrixEntropy_flow line 50
  8. theorem OAI.FiniteEntropySeparation.normalizedMatrixEntropy_cond_lower line 58