Theorems · Theorem · linear algebra

Submodule.inf_genEigenspace

∀ {R : Type v} {M : Type w} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (f : Module.End R M)
  (p : Submodule R M) {k : ℕ∞} {μ : R} (hfp : ∀ x ∈ p, f x ∈ p),
  p ⊓ (f.genEigenspace μ) k = Submodule.map p.subtype ((Module.End.genEigenspace (LinearMap.restrict f hfp) μ) k)

Defined in

Mathlib.LinearAlgebra.Eigenspace.Basic

Cited by

4 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule