Theorems · Theorem · linear algebra

Module.End.genEigenspace_directed

∀ {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 : ℕ∞}, Directed (fun x1 x2 => x1 ≤ x2) fun l => (f.genEigenspace μ) ↑↑l

Defined in

Mathlib.LinearAlgebra.Eigenspace.Basic

Cited by

1 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule