Theorems · Theorem · linear algebra

Module.End.HasUnifEigenvalue.le

∀ {R : Type v} {M : Type w} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] {f : Module.End R M}
  {μ : R} {k m : ℕ∞}, k ≤ m → f.HasUnifEigenvalue μ k → f.HasUnifEigenvalue μ m

A generalized eigenvalue for some exponent k is also a generalized eigenvalue for exponents larger than k.

Defined in

Mathlib.LinearAlgebra.Eigenspace.Basic

Cited by

2 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule