OAI/Analysis/LaughlinFock/SpinTails.lean

GitHub source file

25 declarations, 0 contain sorry, 0 declared as axioms

Spin Tails.

  1. def OAI.LaughlinFock.fallingRatio line 14
  2. def OAI.LaughlinFock.gramShift line 19
  3. theorem OAI.LaughlinFock.fallingRatio_nonneg line 22
  4. theorem OAI.LaughlinFock.fallingRatio_succ line 26
  5. theorem OAI.LaughlinFock.fallingRatio_le_geometric line 38
  6. theorem OAI.LaughlinFock.affineRatio_tendsto line 53
  7. theorem OAI.LaughlinFock.fallingRatio_tendsto line 74
  8. theorem OAI.LaughlinFock.gramShift_tendsto line 86
  9. def OAI.LaughlinFock.spinRatio line 100
  10. theorem OAI.LaughlinFock.spinRatio_bounds line 103
  11. theorem OAI.LaughlinFock.gramBracket_bounds line 114
  12. theorem OAI.LaughlinFock.gramShift_abs_le line 128
  13. theorem OAI.LaughlinFock.spinRatio_tendsto line 138
  14. def OAI.LaughlinFock.tailTerm line 162
  15. def OAI.LaughlinFock.tailCoefficient line 167
  16. theorem OAI.LaughlinFock.tailTerm_bound line 172
  17. theorem OAI.LaughlinFock.tailBound_summable line 189
  18. theorem OAI.LaughlinFock.tailTerm_tendsto line 203
  19. theorem OAI.LaughlinFock.limit_tail_hasSum line 220
  20. theorem OAI.LaughlinFock.tailCoefficient_eq_tsum line 246
  21. theorem OAI.LaughlinFock.tailCoefficient_tendsto line 256
  22. theorem OAI.LaughlinFock.tailCoefficient_eq_odd_sum line 266
  23. theorem OAI.LaughlinFock.tailTerm_nonneg line 289
  24. theorem OAI.LaughlinFock.tailCoefficient_nonneg line 296
  25. theorem OAI.LaughlinFock.allowance_count line 301