OAI/RingTheory/Kurosh/FiniteDescent.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Finite descent over algebraic central extensions and the actual center.

  1. theorem OAI.KuroshConstruction.mem_span_of_coordinates line 15
  2. theorem OAI.KuroshConstruction.span_mul_mem_of_structure_constants line 28
  3. theorem OAI.KuroshConstruction.finite_descent_of_basis line 51
  4. theorem OAI.KuroshConstruction.finite_descent line 92
  5. abbrev OAI.KuroshConstruction.algebraInCenter line 101
  6. theorem OAI.KuroshConstruction.not_finite_over_center line 104
  7. theorem OAI.KuroshConstruction.adjoin_center_eq_top line 116
  8. theorem OAI.KuroshConstruction.algebraic_over_center line 129
  9. def OAI.KuroshConstruction.centerDivisionAdjoin line 138
  10. theorem OAI.KuroshConstruction.center_le_centerDivisionAdjoin line 142
  11. theorem OAI.KuroshConstruction.subset_centerDivisionAdjoin line 146
  12. theorem OAI.KuroshConstruction.centerDivisionAdjoin_inv_mem line 151
  13. theorem OAI.KuroshConstruction.centerDivisionAdjoin_le line 158
  14. theorem OAI.KuroshConstruction.centerDivisionAdjoin_eq_top line 164