OAI/LinearAlgebra/MatrixMultiplication/Completion/Partitions.lean

GitHub source file

12 declarations, 0 contain sorry, 0 declared as axioms

Readable tensor completion and its finite arithmetic realization.

  1. def OAI.MatrixMultiplication.CompletionPartitions.activeCount line 19
  2. def OAI.MatrixMultiplication.CompletionPartitions.inactiveCount line 20
  3. theorem OAI.MatrixMultiplication.CompletionPartitions.partition_count line 22
  4. theorem OAI.MatrixMultiplication.CompletionPartitions.card_all line 27
  5. theorem OAI.MatrixMultiplication.CompletionPartitions.activeCount_minus line 34
  6. theorem OAI.MatrixMultiplication.CompletionPartitions.inactiveCount_plus line 38
  7. def OAI.MatrixMultiplication.CompletionPartitions.activeFraction line 53
  8. def OAI.MatrixMultiplication.CompletionPartitions.inactiveFraction line 56
  9. theorem OAI.MatrixMultiplication.CompletionPartitions.fraction_sum line 59
  10. theorem OAI.MatrixMultiplication.CompletionPartitions.activeFraction_minus line 65
  11. theorem OAI.MatrixMultiplication.CompletionPartitions.inactiveFraction_plus line 70
  12. theorem OAI.MatrixMultiplication.CompletionPartitions.activeFraction_plus line 76