Theorems · Theorem · linear algebra

Module.End.genEigenspace_inf_le_add

∀ {R : Type v} {M : Type w} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (f₁ f₂ : Module.End R M)
  (μ₁ μ₂ : R) (k₁ k₂ : ℕ∞),
  Commute f₁ f₂ → (f₁.genEigenspace μ₁) k₁ ⊓ (f₂.genEigenspace μ₂) k₂ ≤ ((f₁ + f₂).genEigenspace (μ₁ + μ₂)) (k₁ + k₂)

Defined in: Mathlib.LinearAlgebra.Eigenspace.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing AddCommGroup Module

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Module.End.map_add_of_iInf_genEigenspace_ne_bot_of_commuteproof · cited by 0