Theorems · Theorem · linear algebra
Module.End.maxGenEigenspace_eq_genEigenspace_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.maxGenEigenspace μ = (f.genEigenspace μ) ↑(Module.finrank K V)- Defined in
- Mathlib.LinearAlgebra.Eigenspace.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Top.topproof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Submodulestatement and proof · cited by 7,192
- ENatstatement · cited by 4,985
- le_antisymmproof · cited by 2,068
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement and proof · cited by 1,770
- OrderHomstatement · cited by 934
- Module.Endstatement and proof · cited by 774
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