OAI/LinearAlgebra/MatrixMultiplication/JointExtraction/GibbsApproximation.lean

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10 declarations, 0 contain sorry, 0 declared as axioms

Joint tensor extraction, compatibility and entropy estimates.

  1. def OAI.MatrixMultiplication.JointGibbsApproximation.marginalError line 15
  2. theorem OAI.MatrixMultiplication.JointGibbsApproximation.marginalError_nonneg line 19
  3. theorem OAI.MatrixMultiplication.JointGibbsApproximation.entropy_le_crossEntropy_of_support line 24
  4. theorem OAI.MatrixMultiplication.JointGibbsApproximation.potential_difference_le line 41
  5. theorem OAI.MatrixMultiplication.JointGibbsApproximation.entropy_le_of_marginal_errors_of_support line 56
  6. theorem OAI.MatrixMultiplication.JointGibbsApproximation.entropy_le_of_marginal_errors line 95
  7. theorem OAI.MatrixMultiplication.JointGibbsApproximation.tendsto_map_mass line 106
  8. theorem OAI.MatrixMultiplication.JointGibbsApproximation.tendsto_marginalError line 120
  9. theorem OAI.MatrixMultiplication.JointGibbsApproximation.eventually_entropy_le_of_tendsto_of_support line 135
  10. theorem OAI.MatrixMultiplication.JointGibbsApproximation.eventually_entropy_le_of_tendsto line 171