OAI/Topology/ArtinGroups/Coxeter/Signs.lean

GitHub source file

27 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.HarmonicArtin.CoxeterExchange.Signs line 12
  2. def OAI.HarmonicArtin.CoxeterExchange.signAction line 14
  3. abbrev OAI.HarmonicArtin.CoxeterExchange.SignedGroup line 44
  4. def OAI.HarmonicArtin.CoxeterExchange.coeff line 46
  5. lemma OAI.HarmonicArtin.CoxeterExchange.coeff_one line 48
  6. lemma OAI.HarmonicArtin.CoxeterExchange.coeff_mul line 50
  7. def OAI.HarmonicArtin.CoxeterExchange.delta line 53
  8. lemma OAI.HarmonicArtin.CoxeterExchange.delta_conj line 55
  9. def OAI.HarmonicArtin.CoxeterExchange.signedGenerator line 67
  10. lemma OAI.HarmonicArtin.CoxeterExchange.signedGenerator_right line 70
  11. lemma OAI.HarmonicArtin.CoxeterExchange.coeff_signedGenerator line 71
  12. lemma OAI.HarmonicArtin.CoxeterExchange.coeff_pair line 73
  13. lemma OAI.HarmonicArtin.CoxeterExchange.braid_power_transport line 79
  14. lemma OAI.HarmonicArtin.CoxeterExchange.pair_pow_conj_first line 87
  15. lemma OAI.HarmonicArtin.CoxeterExchange.pair_pow_conj_second line 96
  16. lemma OAI.HarmonicArtin.CoxeterExchange.signed_pair_power_right line 106
  17. lemma OAI.HarmonicArtin.CoxeterExchange.coeff_signed_pair_power line 110
  18. lemma OAI.HarmonicArtin.CoxeterExchange.signed_pair_power_eq_one line 122
  19. def OAI.HarmonicArtin.CoxeterExchange.signedLift line 142
  20. lemma OAI.HarmonicArtin.CoxeterExchange.signedLift_simple line 147
  21. lemma OAI.HarmonicArtin.CoxeterExchange.signedLift_right line 151
  22. lemma OAI.HarmonicArtin.CoxeterExchange.coeff_wordProd line 158
  23. lemma OAI.HarmonicArtin.CoxeterExchange.sum_delta_nodup line 174
  24. lemma OAI.HarmonicArtin.CoxeterExchange.coeff_reduced line 187
  25. lemma OAI.HarmonicArtin.CoxeterExchange.reduced_invSeq_membership line 191
  26. lemma OAI.HarmonicArtin.CoxeterExchange.simple_mem_leftInvSeq_of_shorter line 199
  27. lemma OAI.HarmonicArtin.CoxeterExchange.simple_exchange line 214