OAI/LinearAlgebra/MatrixMultiplication/JointExtraction/GroupedEntropyPartition.lean

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11 declarations, 0 contain sorry, 0 declared as axioms

Joint tensor extraction, compatibility and entropy estimates.

  1. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.groupMass_mul line 21
  2. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.groupMeasure_mul line 31
  3. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.groupLaw_mul_of_ne_zero line 43
  4. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.groupedEntropy_mul line 54
  5. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.groupMeasure_designated_some line 65
  6. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.groupMeasure_designated_none line 74
  7. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.groupedEntropy_designated line 81
  8. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.groupedEntropy_partition line 98
  9. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.groupedEntropy_conditional_partition line 122
  10. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.native_groupedEntropy_eq_sum_masked line 143
  11. theorem OAI.MatrixMultiplication.JointGroupedEntropyPartition.native_groupedEntropy_eq_sum_conditional line 170