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[Merged by Bors] - chore(Analysis/InnerProductSpace/JointEigenspace): Remove duplicated namespace in name of LinearMap.IsSymmetric.directSum_isInternal_of_pairwise_commute #39784

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[Merged by Bors] - chore(Analysis/InnerProductSpace/JointEigenspace): Remove duplicated namespace in name of LinearMap.IsSymmetric.directSum_isInternal_of_pairwise_commute #39784

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2 changes: 1 addition & 1 deletion Mathlib/Analysis/InnerProductSpace/JointEigenspace.lean
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Expand Up @@ -133,7 +133,7 @@ theorem iSup_iInf_eq_top_of_commute {ι : Type*} {T : ι → E →ₗ[𝕜] E}

/-- In finite dimensions, given a commuting family of symmetric linear operators, the inner
product space on which they act decomposes as an internal direct sum of joint eigenspaces. -/
theorem LinearMap.IsSymmetric.directSum_isInternal_of_pairwise_commute [DecidableEq (n → 𝕜)]
theorem directSum_isInternal_of_pairwise_commute [DecidableEq (n → 𝕜)]
(hT : ∀ i, (T i).IsSymmetric) (hC : Pairwise (Commute on T)) :
DirectSum.IsInternal (fun α : n → 𝕜 ↦ ⨅ j, eigenspace (T j) (α j)) := by
rw [OrthogonalFamily.isInternal_iff]
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