Theorems · Theorem · linear algebra
Matrix.finite_real_spectrum
∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {n : Type u_2} [inst_1 : Fintype n] {A : Matrix n n 𝕜} [inst_2 : DecidableEq n],
(spectrum ℝ A).Finite- Defined in
- Mathlib.Analysis.Matrix.Spectrum
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLikeFintypeDecidableEq
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- RCLikestatement and proof · cited by 2,829
- Set.Finitestatement and proof · cited by 1,814
- spectrumstatement · cited by 510
- Function.Injective.injOnproof · cited by 280
- FaithfulSMul.algebraMap_injectiveproof · cited by 198
- Set.Finite.preimageproof · cited by 16
- spectrum.preimage_algebraMapproof · cited by 3
- Matrix.finite_spectrumproof · cited by 1
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