Theorems · Theorem · linear algebra
Module.End.genEigenspace_le_genEigenspace_maxUnifEigenspaceIndex
∀ {R : Type v} {M : Type w} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [IsNoetherian R M]
(f : Module.End R M) (μ : R) (k : ℕ∞), (f.genEigenspace μ) k ≤ (f.genEigenspace μ) ↑(f.maxUnifEigenspaceIndex μ)- Defined in
- Mathlib.LinearAlgebra.Eigenspace.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Top.topproof · cited by 9,680
- Submodulestatement and proof · cited by 7,192
- ENatstatement and proof · cited by 4,985
- OrderHomstatement · cited by 934
- Module.Endstatement and proof · cited by 774
- le_topproof · cited by 411
- IsNoetherianstatement and proof · cited by 208
- Module.End.genEigenspacestatement and proof · cited by 70
Cited by1
Results whose statement or proof uses this declaration.
- Module.End.genEigenspace_eq_genEigenspace_maxUnifEigenspaceIndex_of_leproof · cited by 0