OAI/NumberTheory/NumberField/UnitRadicals.lean

GitHub source file

15 declarations, 0 contain sorry, 0 declared as axioms

Finite fields containing radicals of all algebraic integer units.

  1. def OAI.IntegralCharacterVarieties.Arithmetic.unitRootExtension line 13
  2. theorem OAI.IntegralCharacterVarieties.Arithmetic.root_of_unit_is_ringOfIntegers_unit line 17
  3. theorem OAI.IntegralCharacterVarieties.Arithmetic.finiteDimensional_unitRootExtension_and_roots line 40
  4. theorem OAI.IntegralCharacterVarieties.Arithmetic.uniform_field line 116
  5. def OAI.IntegralCharacterVarieties.Arithmetic.primitiveRoot line 138
  6. theorem OAI.IntegralCharacterVarieties.Arithmetic.primitiveRoot_isPrimitiveRoot line 140
  7. def OAI.IntegralCharacterVarieties.Arithmetic.unitRootChoice line 144
  8. theorem OAI.IntegralCharacterVarieties.Arithmetic.unitRootChoice_pow line 148
  9. def OAI.IntegralCharacterVarieties.Arithmetic.radicalField line 153
  10. theorem OAI.IntegralCharacterVarieties.Arithmetic.radicalField_finite_and_units line 157
  11. def OAI.IntegralCharacterVarieties.Arithmetic.auxiliaryField line 167
  12. theorem OAI.IntegralCharacterVarieties.Arithmetic.auxiliaryField_finite line 172
  13. theorem OAI.IntegralCharacterVarieties.Arithmetic.specified_field_finite_and_units line 190
  14. theorem OAI.IntegralCharacterVarieties.Arithmetic.exists_distinct_primes_gt line 208
  15. theorem OAI.IntegralCharacterVarieties.density_transfer line 218