Theorems · Theorem · functional analysis

AlgEquiv.spectrum_eq

∀ {F : Type u_1} {R : Type u_2} {A : Type u_3} {B : Type u_4} [inst : CommSemiring R] [inst_1 : Ring A]
  [inst_2 : Ring B] [inst_3 : Algebra R A] [inst_4 : Algebra R B] [inst_5 : EquivLike F A B] [AlgEquivClass F R A B]
  (f : F) (a : A), spectrum R (f a) = spectrum R a

Defined in

Mathlib.Algebra.Algebra.Spectrum.Basic

Cited by

9 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringRingRingAlgebraAlgebraEquivLikeAlgEquivClass