OAI/LinearAlgebra/MatrixMultiplication/Separation/ComplexPrefixSeparationOrientations.lean

GitHub source file

16 declarations, 0 contain sorry, 0 declared as axioms

Finite type counts, hierarchy separation and tensor execution bounds.

  1. def OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.auxiliaryXZ line 16
  2. def OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.auxiliaryYZ line 20
  3. theorem OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.auxiliaryXZ_rankAtMost line 24
  4. theorem OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.auxiliaryYZ_rankAtMost line 36
  5. def OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.stageLeadingXZ line 48
  6. def OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.stageLeadingYZ line 55
  7. theorem OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.stageLeadingXZ_synchronized line 62
  8. theorem OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.stageLeadingYZ_synchronized line 74
  9. theorem OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.stageLeadingXZ_retains_pairing line 86
  10. theorem OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.stageLeadingYZ_retains_pairing line 97
  11. theorem OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.exists_prefix_stage_XZ line 108
  12. theorem OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.exists_prefix_stage_YZ line 155
  13. def OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.rawPoolLeadingXZ line 206
  14. def OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.rawPoolLeadingYZ line 212
  15. theorem OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.exists_raw_pool_stage_XZ line 218
  16. theorem OAI.MatrixMultiplication.Foundation.PrefixSeparationOrientations.exists_raw_pool_stage_YZ line 240