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Theorems · Inductive type · field theory

IsAbelianGalois

(K : Type u_4) → (L : Type u_5) → [inst : Field K] → [inst_1 : Field L] → [Algebra K L] → Prop

The class of abelian extensions, defined as galois extensions whose galois group is commutative.

Defined in
Mathlib.FieldTheory.Galois.Abelian
Cited by
10 results in Mathlib
Foundations
Depth 45 from the axioms · uses propext, Quot.sound
Assumes
FieldFieldAlgebra

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites2

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

  • Algebrastatement · cited by 11,388
  • Fieldstatement · cited by 7,404

Cited by13

Results whose statement or proof uses this declaration.