Theorems · Theorem · number theory

IsCyclotomicExtension.isMulCommutative

∀ (S : Set ℕ) (A : Type u) (B : Type v) [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B]
  [IsCyclotomicExtension S A B] [IsDomain B], IsMulCommutative (B ≃ₐ[A] B)

Cyclotomic extensions are abelian.

Defined in

Mathlib.NumberTheory.Cyclotomic.Basic

Cited by

1 results in Mathlib

Foundations

Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraIsCyclotomicExtensionIsDomain