OAI/AlgebraicGeometry/SectionFields/AlgebraicFields.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

Algebraic scalar extensions and finite Galois fields of definition.

  1. def OAI.RelativeDenominators.tensorAlgebraicFractionField line 20
  2. lemma OAI.RelativeDenominators.tensorAlgebraicFraction_isFractionRing line 28
  3. def OAI.RelativeDenominators.tensorIntermediateInclusion line 64
  4. lemma OAI.RelativeDenominators.tensorIntermediateInclusion_transition line 69
  5. theorem OAI.RelativeDenominators.tensor_finiteGalois_field_of_definition line 81
  6. lemma OAI.RelativeDenominators.tensorIntermediateInclusion_injective line 107
  7. lemma OAI.RelativeDenominators.tensorIntermediate_domain line 114
  8. def OAI.RelativeDenominators.tensorIntermediateInclusionOver line 122
  9. theorem OAI.RelativeDenominators.tensor_isIntegrallyClosed_of_algebraic_galois line 138