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Theorems · Theorem · field theory

IsAbelianGalois.of_isCyclic

∀ (K : Type u_1) (L : Type u_2) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [IsGalois K L]
  [IsCyclic Gal(L/K)], IsAbelianGalois K L
Defined in
Mathlib.FieldTheory.Galois.Abelian
Cited by
0 results in Mathlib
Foundations
Depth 47 from the axioms · uses propext, Quot.sound
Assumes
FieldFieldAlgebraIsGaloisIsCyclic

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Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Algebrastatement and proof · cited by 11,388
  • Fieldstatement and proof · cited by 7,404
  • AlgEquivstatement and proof · cited by 1,681
  • IsGaloisstatement and proof · cited by 149
  • IsCyclicstatement and proof · cited by 122
  • IsAbelianGaloisstatement · cited by 10

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