OAI/Analysis/Commutator/TracialDevelopment.lean

GitHub source file

28 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.Kadison.TracialGNS.norm_star_preGNS line 18
  2. def OAI.Kadison.TracialGNS.rightMulPre line 23
  3. lemma OAI.Kadison.TracialGNS.rightMulPre_apply line 40
  4. lemma OAI.Kadison.TracialGNS.norm_rightMulPre_le line 43
  5. def OAI.Kadison.TracialGNS.rightMul line 46
  6. lemma OAI.Kadison.TracialGNS.rightMul_coe line 49
  7. lemma OAI.Kadison.TracialGNS.rightMul_mul line 53
  8. lemma OAI.Kadison.TracialGNS.rightMul_one line 60
  9. lemma OAI.Kadison.TracialGNS.left_right_commute line 66
  10. lemma OAI.Kadison.TracialGNS.rightMul_star line 74
  11. def OAI.Kadison.TracialGNS.vacuum line 84
  12. lemma OAI.Kadison.TracialGNS.left_vacuum line 86
  13. lemma OAI.Kadison.TracialGNS.right_vacuum line 89
  14. lemma OAI.Kadison.TracialGNS.vacuum_norm_sq line 92
  15. lemma OAI.Kadison.TracialGNS.vacuum_norm line 97
  16. lemma OAI.Kadison.TracialGNS.dense_cyclic_orbit line 104
  17. def OAI.Kadison.TracialGNS.rightStarAlgHom line 113
  18. lemma OAI.Kadison.TracialGNS.rightMul_opNorm_le line 134
  19. lemma OAI.Kadison.TracialGNS.coe_preGNS_eq_zero_iff line 137
  20. lemma OAI.Kadison.TracialGNS.left_faithful line 150
  21. lemma OAI.Kadison.TracialGNS.right_faithful line 157
  22. lemma OAI.Kadison.TracialGNS.norm_left_eq line 167
  23. lemma OAI.Kadison.TracialGNS.norm_right_eq line 171
  24. lemma OAI.Kadison.TracialGNS.coe_norm_sq line 175
  25. lemma OAI.Kadison.TracialGNS.projection_norm_sq line 179
  26. lemma OAI.Kadison.TracialGNS.norm_right_partial_isometry line 183
  27. lemma OAI.Kadison.TracialGNS.left_coe line 195
  28. lemma OAI.Kadison.TracialGNS.mem_closure_corner_orbit line 199