OAI/GroupTheory/SimpleAmenable/Homology/ModelAssembly.lean

GitHub source file

33 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.ModelAssembly.projection line 14
  2. def OAI.ModelAssembly.assembly line 16
  3. instance OAI.ModelAssembly.assembly_additive line 19
  4. instance OAI.ModelAssembly.assembly_preservesColimits line 23
  5. def OAI.ModelAssembly.freeCocone line 26
  6. def OAI.ModelAssembly.forward line 44
  7. def OAI.ModelAssembly.backward line 47
  8. lemma OAI.ModelAssembly.ι_to line 51
  9. lemma OAI.ModelAssembly.from_to line 54
  10. lemma OAI.ModelAssembly.to_from line 62
  11. def OAI.ModelAssembly.freeIso line 88
  12. abbrev OAI.TotalHomotopy.c line 103
  13. lemma OAI.TotalHomotopy.sign₁ line 106
  14. lemma OAI.TotalHomotopy.sign₂ line 107
  15. lemma OAI.TotalHomotopy.π_add line 108
  16. def OAI.TotalHomotopy.step line 110
  17. lemma OAI.TotalHomotopy.ι_step line 114
  18. lemma OAI.TotalHomotopy.ι_d₁_zero line 119
  19. lemma OAI.TotalHomotopy.ι_d₂_zero line 124
  20. lemma OAI.TotalHomotopy.ι_d₁_succ line 129
  21. lemma OAI.TotalHomotopy.ι_d₂_succ line 134
  22. lemma OAI.TotalHomotopy.ι_d line 139
  23. lemma OAI.TotalHomotopy.comm_zero line 145
  24. lemma OAI.TotalHomotopy.comm_succ line 152
  25. def OAI.TotalHomotopy.hom line 159
  26. lemma OAI.TotalHomotopy.hom_diag line 163
  27. lemma OAI.TotalHomotopy.ι_d_rightZero line 166
  28. lemma OAI.TotalHomotopy.ι_d_leftZero line 172
  29. lemma OAI.TotalHomotopy.ι_d_both line 178
  30. lemma OAI.TotalHomotopy.total_comm_zero line 185
  31. lemma OAI.TotalHomotopy.neg_pow_smul_succ line 195
  32. lemma OAI.TotalHomotopy.total_comm_succ line 199
  33. def OAI.TotalHomotopy.total line 240