Theorems · Theorem · linear algebra
Module.End.independent_genEigenspace
∀ {R : Type v} {M : Type w} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [IsDomain R]
[Module.IsTorsionFree R M] (f : Module.End R M) (k : ℕ∞), iSupIndep fun x => (f.genEigenspace x) k- Defined in
- Mathlib.LinearAlgebra.Eigenspace.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites47
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
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Semiringproof · cited by 13,802
- Finsetproof · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- AddCommMonoidproof · cited by 12,281
- LinearMapproof · cited by 10,215
- RingHomproof · cited by 10,189
- SetLike.coeproof · cited by 8,199
- Submodulestatement and proof · cited by 7,192
Cited by4
Results whose statement or proof uses this declaration.
- Module.End.eigenspaces_iSupIndepproof · cited by 2
- LieModule.iSupIndep_genWeightSpaceOfproof · cited by 2
- Submodule.inf_iSup_genEigenspaceproof · cited by 1
- Module.End.independent_maxGenEigenspaceproof · cited by 1