OAI/Analysis/Commutator/FreeCreation.lean

GitHub source file

28 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.Kadison.FreeCreation.Letter line 36
  2. def OAI.Kadison.FreeCreation.wordVector line 38
  3. lemma OAI.Kadison.FreeCreation.inner_wordVector line 41
  4. lemma OAI.Kadison.FreeCreation.mul_wordVector line 47
  5. def OAI.Kadison.FreeCreation.CanPrepend line 52
  6. lemma OAI.Kadison.FreeCreation.reduced_prepend line 55
  7. lemma OAI.Kadison.FreeCreation.colors_ne_prepend line 63
  8. lemma OAI.Kadison.FreeCreation.centered_middle_zero line 74
  9. lemma OAI.Kadison.FreeCreation.middle_factor line 85
  10. lemma OAI.Kadison.FreeCreation.inner_mul_wordVector line 103
  11. def OAI.Kadison.FreeCreation.tailSpan line 115
  12. def OAI.Kadison.FreeCreation.tailSpace line 119
  13. instance OAI.Kadison.FreeCreation.(instance at line 122) line 122
  14. lemma OAI.Kadison.FreeCreation.inner_mul_tailSpan line 126
  15. lemma OAI.Kadison.FreeCreation.inner_mul_tailSpace line 145
  16. lemma OAI.Kadison.FreeCreation.norm_mul_tailSpace line 162
  17. def OAI.Kadison.FreeCreation.Starts line 177
  18. def OAI.Kadison.FreeCreation.headSpan line 180
  19. def OAI.Kadison.FreeCreation.headSpace line 184
  20. instance OAI.Kadison.FreeCreation.(instance at line 187) line 187
  21. lemma OAI.Kadison.FreeCreation.headSpace_le_tailSpace_orthogonal line 191
  22. lemma OAI.Kadison.FreeCreation.headSpace_le_other_tailSpace line 209
  23. lemma OAI.Kadison.FreeCreation.creation_mem_headSpan line 221
  24. lemma OAI.Kadison.FreeCreation.creation_mem_headSpace line 236
  25. lemma OAI.Kadison.FreeCreation.wordVector_mem_head_sup_tail line 247
  26. lemma OAI.Kadison.FreeCreation.generated_mem_head_sup_tail line 264
  27. lemma OAI.Kadison.FreeCreation.total_head_sup_tail line 281
  28. lemma OAI.Kadison.FreeCreation.headSpace_eq_tailSpace_orthogonal line 303