Theorems · Theorem · linear algebra

Module.End.disjoint_genEigenspace

∀ {R : Type v} {M : Type w} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [IsDomain R]
  [Module.IsTorsionFree R M] (f : Module.End R M) {μ₁ μ₂ : R},
  μ₁ ≠ μ₂ → ∀ (k l : ℕ∞), Disjoint ((f.genEigenspace μ₁) k) ((f.genEigenspace μ₂) l)

Defined in

Mathlib.LinearAlgebra.Eigenspace.Basic

Cited by

7 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleIsDomainModule.IsTorsionFree