Update along with mathlib
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@ -277,7 +277,7 @@ theorem harmonic_is_realOfHolomorphic
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intro x hx
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intro x hx
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rw [fderivWithin_eq_fderiv, fderivWithin_eq_fderiv]
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rw [fderivWithin_eq_fderiv, fderivWithin_eq_fderiv]
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rw [fderiv.comp]
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rw [fderiv_comp]
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simp
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simp
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apply ContinuousLinearMap.ext
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apply ContinuousLinearMap.ext
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intro w
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intro w
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@ -202,14 +202,14 @@ theorem partialDeriv_compContLin
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left
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left
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intro w
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intro w
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left
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left
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rw [fderiv.comp w (ContinuousLinearMap.differentiableAt l) (h w)]
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rw [fderiv_comp w (ContinuousLinearMap.differentiableAt l) (h w)]
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simp
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simp
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rfl
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rfl
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theorem partialDeriv_compContLinAt {f : E → F} {l : F →L[𝕜] G} {v : E} {x : E} (h : DifferentiableAt 𝕜 f x) : (partialDeriv 𝕜 v (l ∘ f)) x = (l ∘ partialDeriv 𝕜 v f) x:= by
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theorem partialDeriv_compContLinAt {f : E → F} {l : F →L[𝕜] G} {v : E} {x : E} (h : DifferentiableAt 𝕜 f x) : (partialDeriv 𝕜 v (l ∘ f)) x = (l ∘ partialDeriv 𝕜 v f) x:= by
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unfold partialDeriv
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unfold partialDeriv
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rw [fderiv.comp x (ContinuousLinearMap.differentiableAt l) h]
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rw [fderiv_comp x (ContinuousLinearMap.differentiableAt l) h]
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simp
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simp
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