Theorems · Theorem · functional analysis

spectrum.preimage_units_mul_comm

∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : Ring A] [inst_2 : Algebra R A] (a b : A),
  Units.val ⁻¹' spectrum R (a * b) = Units.val ⁻¹' spectrum R (b * a)

Defined in

Mathlib.Algebra.Algebra.Spectrum.Basic

Cited by

0 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringRingAlgebra