Update complexHarmonic.lean
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@ -39,7 +39,17 @@ theorem holomorphic_is_harmonic {f : ℂ → ℂ} (h : Differentiable ℂ f) :
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· -- Laplace of f is zero
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unfold Complex.laplace
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rw [CauchyRiemann₄ h]
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rw [partialDeriv_smul₂ fI_is_real_differentiable]
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let l : ℂ →L[ℝ] ℂ := by
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--
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sorry --(fun x ↦ Complex.I • x)
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have : (Complex.I • Real.partialDeriv 1 f) = (l ∘ (Real.partialDeriv 1 f)) := by
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sorry
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rw [this]
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rw [partialDeriv_compContLin]
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--rw [partialDeriv_smul₂ fI_is_real_differentiable]
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rw [partialDeriv_comm f_is_real_C2 Complex.I 1]
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rw [CauchyRiemann₄ h]
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rw [partialDeriv_smul₂ fI_is_real_differentiable]
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