OAI/MathematicalPhysics/ContinuumCoulomb/Quantum/QuantumTensorMatrix.lean

GitHub source file

15 declarations, 0 contain sorry, 0 declared as axioms

Finite tensor matrices used to place the proved four-spin code at every site.

  1. def OAI.ContinuumCoulomb.qmaTensorMatrix line 13
  2. theorem OAI.ContinuumCoulomb.qmaTensorMatrix_mul line 17
  3. theorem OAI.ContinuumCoulomb.qmaTensorMatrix_star line 25
  4. theorem OAI.ContinuumCoulomb.qmaTensorMatrix_one line 33
  5. theorem OAI.ContinuumCoulomb.qmaTensorMatrix_gram line 44
  6. theorem OAI.ContinuumCoulomb.qmaTensorMatrix_projector line 51
  7. theorem OAI.ContinuumCoulomb.qmaTensorMatrix_projector_posSemidef line 58
  8. theorem OAI.ContinuumCoulomb.qmaTensorMatrix_complement_posSemidef line 64
  9. def OAI.ContinuumCoulomb.qmaSiteMatrix line 78
  10. theorem OAI.ContinuumCoulomb.qmaSiteMatrix_mul line 81
  11. theorem OAI.ContinuumCoulomb.qmaSiteMatrix_one line 89
  12. theorem OAI.ContinuumCoulomb.qmaSiteMatrix_star line 93
  13. theorem OAI.ContinuumCoulomb.qmaSiteMatrix_apply line 101
  14. theorem OAI.ContinuumCoulomb.qmaSiteMatrix_add line 113
  15. theorem OAI.ContinuumCoulomb.qmaSiteMatrix_smul line 119