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chore(Analysis/InnerProductSpace/Reproducing): clarify TODO (leanprover-community#37693)
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Mathlib/Analysis/InnerProductSpace/Reproducing.lean

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@@ -28,7 +28,7 @@ positive semidefinite matrices.
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## TODO
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- Privatize `RKHS.OfKernel`
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- Privatize `RKHS.H₀`
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## References
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* [Paulsen, Vern I. and Raghupathi, Mrinal,
@@ -94,7 +94,6 @@ lemma continuous_eval (x : X) : Continuous (fun (f : H) ↦ f x) := by
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variable (H) [CompleteSpace H] [CompleteSpace V]
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--TODO: make private
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/-- The kernel functions of a reproducing kernel Hilbert space are the adjoint of
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the point evaluation. -/
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def kerFun (x : X) : V →L[𝕜] H := (.proj x ∘L coeCLM 𝕜).adjoint
@@ -243,7 +242,8 @@ private lemma inner_H₀_def (f g : H₀ K) :
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variable (K) in
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/-- The reproducing kernel Hilbert space generated by a positive semidefinite matrix.
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TODO: Privatize. -/
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TODO: Make nonexposed def once deriving is fixed. See
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https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/backward.2EisDefEq.2ErespectTransparency/near/578850754 -/
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abbrev OfKernel := UniformSpace.Completion (H₀ K)
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--deriving SeminormedAddCommGroup, InnerProductSpace 𝕜, CompleteSpace
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