Theorems · Theorem · linear algebra
Module.End.maxUnifEigenspaceIndex_le_finrank
∀ {K : Type v} {V : Type w} [inst : Field K] [inst_1 : AddCommGroup V] [inst_2 : Module K V] [FiniteDimensional K V]
(f : Module.End K V) (μ : K), f.maxUnifEigenspaceIndex μ ≤ Module.finrank K V- Defined in
- Mathlib.LinearAlgebra.Eigenspace.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Fieldstatement and proof · cited by 7,404
- Submoduleproof · cited by 7,192
- le_antisymmproof · cited by 2,068
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement and proof · cited by 1,770
- LinearMap.kerproof · cited by 848
- Module.Endstatement and proof · cited by 774
- Module.End.genEigenspaceproof · cited by 70
- OrderHom.monotoneproof · cited by 70
Cited by1
Results whose statement or proof uses this declaration.
- Module.End.genEigenspace_le_genEigenspace_finrankproof · cited by 2