Theorems · Theorem · functional analysis

quasispectrum_eq_spectrum_union

∀ (R : Type u_3) {A : Type u_4} [inst : CommSemiring R] [inst_1 : Ring A] [inst_2 : Algebra R A] (a : A),
  quasispectrum R a = spectrum R a ∪ {r | ¬IsUnit r}

Defined in

Mathlib.Algebra.Algebra.Spectrum.Quasispectrum

Cited by

3 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringRingAlgebra