OAI/MathematicalPhysics/Heisenberg/SlotColorTrace.lean

GitHub source file

23 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.Heisenberg.SlotColor.Color line 11
  2. abbrev OAI.Heisenberg.SlotColor.Cycles line 12
  3. def OAI.Heisenberg.SlotColor.cycleOf line 14
  4. lemma OAI.Heisenberg.SlotColor.cycleOf_apply line 16
  5. def OAI.Heisenberg.SlotColor.permute line 19
  6. lemma OAI.Heisenberg.SlotColor.permute_apply line 25
  7. lemma OAI.Heisenberg.SlotColor.permute_mul line 28
  8. lemma OAI.Heisenberg.SlotColor.permute_fixed line 32
  9. def OAI.Heisenberg.SlotColor.matrix line 45
  10. lemma OAI.Heisenberg.SlotColor.matrix_one line 48
  11. lemma OAI.Heisenberg.SlotColor.matrix_mul line 53
  12. def OAI.Heisenberg.SlotColor.representation line 62
  13. lemma OAI.Heisenberg.SlotColor.trace_diagonal line 67
  14. abbrev OAI.Heisenberg.SlotColor.ClosedColor line 75
  15. instance OAI.Heisenberg.SlotColor.(instance at line 76) line 76
  16. instance OAI.Heisenberg.SlotColor.(instance at line 77) line 77
  17. lemma OAI.Heisenberg.SlotColor.const_cycle line 79
  18. def OAI.Heisenberg.SlotColor.cycleColorEquiv line 89
  19. theorem OAI.Heisenberg.SlotColor.trace_cycle_colors line 97
  20. lemma OAI.Heisenberg.SlotColor.trace_cycle_weight line 108
  21. def OAI.Heisenberg.SlotColor.magnetization line 113
  22. lemma OAI.Heisenberg.SlotColor.magnetization_bound line 115
  23. theorem OAI.Heisenberg.SlotColor.spectral_cycle_law line 125