OAI/LinearAlgebra/MatrixMultiplication/JointExtraction/Extraction.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Joint tensor extraction, compatibility and entropy estimates.

  1. structure OAI.MatrixMultiplication.JointExtraction.Assignment line 13
  2. def OAI.MatrixMultiplication.JointExtraction.uniqueAssignment line 18
  3. theorem OAI.MatrixMultiplication.JointExtraction.uniqueAssignment_spec line 25
  4. theorem OAI.MatrixMultiplication.JointExtraction.uniqueAssignment_unique line 36
  5. def OAI.MatrixMultiplication.JointExtraction.retainAssignment line 42
  6. theorem OAI.MatrixMultiplication.JointExtraction.retainAssignment_some line 47
  7. def OAI.MatrixMultiplication.JointExtraction.Coherent line 55
  8. theorem OAI.MatrixMultiplication.JointExtraction.coherent_of_sequential line 59
  9. def OAI.MatrixMultiplication.JointExtraction.branch line 74
  10. def OAI.MatrixMultiplication.JointExtraction.assignmentMatrix line 80
  11. theorem OAI.MatrixMultiplication.JointExtraction.restrict_assignments_apply line 85
  12. theorem OAI.MatrixMultiplication.JointExtraction.restrict_assignments_eq_directSum line 96
  13. theorem OAI.MatrixMultiplication.JointExtraction.rankAtMost_directSum_branches line 122
  14. theorem OAI.MatrixMultiplication.JointExtraction.coherent_of_support_subset line 130