OAI/Algebra/Determinantal/DeterminantFields.lean

GitHub source file

12 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.PermanentBorder.AdjugateAlgebra.low_coefficients_mem line 9
  2. theorem OAI.PermanentBorder.AdjugateAlgebra.rowEntry_inField line 28
  3. theorem OAI.PermanentBorder.AdjugateAlgebra.column_contraction line 57
  4. theorem OAI.PermanentBorder.AdjugateAlgebra.determinant_mem_rowIdeal line 81
  5. theorem OAI.PermanentBorder.AdjugateAlgebra.slopeTrace_eval line 98
  6. theorem OAI.PermanentBorder.AdjugateAlgebra.matrix_inField_of_rows line 113
  7. theorem OAI.PermanentBorder.Bivariate.quotient_field_bound line 152
  8. theorem OAI.PermanentBorder.DeterminantFibers.matrix_field_bound line 186
  9. theorem OAI.PermanentBorder.AlgebraicDimension.krullDim_le_of_integral line 235
  10. theorem OAI.PermanentBorder.AlgebraicDimension.krullDim_le_of_trdeg_le line 247
  11. theorem OAI.PermanentBorder.AlgebraicDimension.image_dimension_le line 261
  12. theorem OAI.PermanentBorder.AlgebraicDimension.krullDim_le_of_field_images line 276