OAI/GroupTheory/SimpleAmenable/Homology/Configuration.lean

GitHub source file

34 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.SimpleAmenable.ConfigurationChains.linear_expansion line 17
  2. theorem OAI.SimpleAmenable.ConfigurationChains.linear_support_subset line 25
  3. theorem OAI.SimpleAmenable.ConfigurationChains.vertices_linear_subset line 32
  4. theorem OAI.SimpleAmenable.ConfigurationChains.vertices_linear_card line 39
  5. def OAI.SimpleAmenable.ConfigurationChains.Admissible line 49
  6. theorem OAI.SimpleAmenable.ConfigurationChains.admissible_zero line 52
  7. theorem OAI.SimpleAmenable.ConfigurationChains.admissible_single line 55
  8. theorem OAI.SimpleAmenable.ConfigurationChains.admissible_sub line 63
  9. theorem OAI.SimpleAmenable.ConfigurationChains.admissible_linear line 70
  10. theorem OAI.SimpleAmenable.ConfigurationChains.admissible_faceSum line 78
  11. theorem OAI.SimpleAmenable.ConfigurationChains.admissible_boundary line 84
  12. theorem OAI.SimpleAmenable.ConfigurationChains.admissible_cone line 90
  13. theorem OAI.SimpleAmenable.ConfigurationChains.vertices_boundary_subset line 100
  14. theorem OAI.SimpleAmenable.ConfigurationChains.linear_eq_on_admissible line 107
  15. structure OAI.SimpleAmenable.ConfigurationChains.Step line 124
  16. def OAI.SimpleAmenable.ConfigurationChains.Step.base line 136
  17. def OAI.SimpleAmenable.ConfigurationChains.Step.residual line 156
  18. theorem OAI.SimpleAmenable.ConfigurationChains.Step.residual_admissible line 158
  19. theorem OAI.SimpleAmenable.ConfigurationChains.Step.residual_cycle line 163
  20. theorem OAI.SimpleAmenable.ConfigurationChains.Step.residual_bound line 169
  21. def OAI.SimpleAmenable.ConfigurationChains.Step.nextVertex line 187
  22. theorem OAI.SimpleAmenable.ConfigurationChains.Step.nextVertex_rel line 190
  23. def OAI.SimpleAmenable.ConfigurationChains.Step.nextGenerator line 194
  24. def OAI.SimpleAmenable.ConfigurationChains.Step.next line 198
  25. theorem OAI.SimpleAmenable.ConfigurationChains.Step.next_single line 201
  26. theorem OAI.SimpleAmenable.ConfigurationChains.Step.next_contraction line 204
  27. theorem OAI.SimpleAmenable.ConfigurationChains.Step.next_admissible line 209
  28. theorem OAI.SimpleAmenable.ConfigurationChains.Step.next_bounded line 214
  29. def OAI.SimpleAmenable.ConfigurationChains.Step.extend line 222
  30. theorem OAI.SimpleAmenable.ConfigurationChains.Step.fills line 234
  31. def OAI.SimpleAmenable.ConfigurationChains.bankBound line 242
  32. theorem OAI.SimpleAmenable.ConfigurationChains.bankBound_mono line 246
  33. theorem OAI.SimpleAmenable.ConfigurationChains.exists_step line 253
  34. theorem OAI.SimpleAmenable.ConfigurationChains.low_degree_filling line 267