[Merged by Bors] - feat : added eigenvalues_mem_spectrum_real and supporting RCLike coercion results
#13838
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…ll as that result.
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PR summary c01bd71d00Import changesDependency changes
Declarations diff
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eric-wieser
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eric-wieser
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eigenvalue_mem_real and supporting RCLike coercion resultseigenvalue_mem__spectrum_real and supporting RCLike coercion results
JonBannon
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eigenvalue_mem__spectrum_real and supporting RCLike coercion resultseigenvalues_mem__spectrum_real and supporting RCLike coercion results
Ruben-VandeVelde
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eigenvalues_mem__spectrum_real and supporting RCLike coercion resultseigenvalues_mem_spectrum_real and supporting RCLike coercion results
Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>
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Ah, ok. I'm happy to commit the suggestion if it confirms to style
guidelines!
…On Mon, Jun 17, 2024, 10:36 AM Eric Wieser ***@***.***> wrote:
***@***.**** commented on this pull request.
------------------------------
In Mathlib/LinearAlgebra/Matrix/Spectrum.lean
<#13838 (comment)>
:
> + AlgEquiv.spectrum_eq ((AlgEquiv.trans ((toEuclideanCLM : Matrix n n 𝕜 ≃⋆ₐ[𝕜]
+ EuclideanSpace 𝕜 n →L[𝕜] EuclideanSpace 𝕜 n) : Matrix n n 𝕜 ≃ₐ[𝕜]
+ EuclideanSpace 𝕜 n →L[𝕜] EuclideanSpace 𝕜 n))
+ (Module.End.toContinuousLinearMap (EuclideanSpace 𝕜 n)).symm) _
Yes, I think this is a style change: the idea is to reflect parenthesis
nesting with indentation.
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As Ruben suggested! Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>
j-loreaux
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Jun 24, 2024
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Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>
Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>
Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>
Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>
Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>
…b.com/leanprover-community/mathlib4 into toEuclideanLinRCLikeHermitianSpectrum
j-loreaux
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Jun 25, 2024
…ms, associated sections removed.
…lts, as Jireh suggested.
JonBannon
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j-loreaux
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Jun 26, 2024
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I've had a lot of input here, so maintainer merge |
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🚀 Pull request has been placed on the maintainer queue by j-loreaux. |
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Thanks! bors r+ |
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…ercion results (#13838) Added several RCLike to real coercion results to support the result that eigenvalues of a hermitian matrix belong to the real spectrum of that matrix, and included this result. Co-Authored by @j-loreaux Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: JonBannon <59937998+JonBannon@users.noreply.github.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>
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Pull request successfully merged into master. Build succeeded: |
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eigenvalues_mem_spectrum_real and supporting RCLike coercion resultseigenvalues_mem_spectrum_real and supporting RCLike coercion results
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…ercion results (#13838) Added several RCLike to real coercion results to support the result that eigenvalues of a hermitian matrix belong to the real spectrum of that matrix, and included this result. Co-Authored by @j-loreaux Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: JonBannon <59937998+JonBannon@users.noreply.github.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>
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…ercion results (#13838) Added several RCLike to real coercion results to support the result that eigenvalues of a hermitian matrix belong to the real spectrum of that matrix, and included this result. Co-Authored by @j-loreaux Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: JonBannon <59937998+JonBannon@users.noreply.github.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>
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…atrices over an RCLike Field (#13697) This file contains the requisite lemmas needed to define a `ContinuousFunctionalCalculus` for Hermitian Matrices over an RCLike Field. - [x] depends on: #13729 - [x] depends on: #13765 - [x] depends on : #13837 - [x] depends on : #13838 Co-Authored by @j-loreaux Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>
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…atrices over an RCLike Field (#13697) This file contains the requisite lemmas needed to define a `ContinuousFunctionalCalculus` for Hermitian Matrices over an RCLike Field. - [x] depends on: #13729 - [x] depends on: #13765 - [x] depends on : #13837 - [x] depends on : #13838 Co-Authored by @j-loreaux Co-authored-by: JonBannon <59937998+JonBannon@users.noreply.github.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>
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Added several RCLike to real coercion results to support the result that eigenvalues of a hermitian matrix belong to the real spectrum of that matrix, and included this result.
Co-Authored by @j-loreaux