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Fix error

This commit is contained in:
Stefan Kebekus 2024-05-13 09:48:16 +02:00
parent ad1e7d113f
commit e5f2551482
2 changed files with 7 additions and 1 deletions
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5
Nevanlinna/laplace.lean
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@ -37,6 +37,11 @@ theorem laplace_add {f₁ f₂ : ℂ → F} (h₁ : ContDiff ℝ 2 f₁) (h₂
exact (partialDeriv_contDiff ℝ h₂ Complex.I).differentiable le_rfl exact (partialDeriv_contDiff ℝ h₂ Complex.I).differentiable le_rfl
exact h₁.differentiable one_le_two exact h₁.differentiable one_le_two
exact h₂.differentiable one_le_two exact h₂.differentiable one_le_two
exact (partialDeriv_contDiff ℝ h₁ 1).differentiable le_rfl
exact (partialDeriv_contDiff ℝ h₂ 1).differentiable le_rfl
exact h₁.differentiable one_le_two
exact h₂.differentiable one_le_two
theorem laplace_smul {f : ℂ → F} (h : ContDiff ℝ 2 f) : ∀ v : ℝ, Complex.laplace (v • f) = v • (Complex.laplace f) := by theorem laplace_smul {f : ℂ → F} (h : ContDiff ℝ 2 f) : ∀ v : ℝ, Complex.laplace (v • f) = v • (Complex.laplace f) := by

3
Nevanlinna/partialDeriv.lean
View File

@ -6,6 +6,7 @@ import Mathlib.Analysis.Calculus.ContDiff.Basic
variable {𝕜 : Type*} [NontriviallyNormedField 𝕜] variable {𝕜 : Type*} [NontriviallyNormedField 𝕜]
variable {E : Type*} [NormedAddCommGroup E] [NormedSpace 𝕜 E] variable {E : Type*} [NormedAddCommGroup E] [NormedSpace 𝕜 E]
variable {F : Type*} [NormedAddCommGroup F] [NormedSpace 𝕜 F] variable {F : Type*} [NormedAddCommGroup F] [NormedSpace 𝕜 F]
variable {G : Type*} [NormedAddCommGroup G] [NormedSpace 𝕜 G]
variable (𝕜) variable (𝕜)
@ -53,7 +54,7 @@ theorem partialDeriv_add₂ {f₁ f₂ : E → F} {v : E} (h₁ : Differentiable
rw [fderiv_add (h₁ w) (h₂ w)] rw [fderiv_add (h₁ w) (h₂ w)]
theorem partialDeriv_compContLin {f : E → F} {l : F →L[𝕜] F} {v : E} (h : Differentiable 𝕜 f) : partialDeriv 𝕜 v (l ∘ f) = l ∘ partialDeriv 𝕜 v f := by theorem partialDeriv_compContLin {f : E → F} {l : F →L[𝕜] G} {v : E} (h : Differentiable 𝕜 f) : partialDeriv 𝕜 v (l ∘ f) = l ∘ partialDeriv 𝕜 v f := by
unfold partialDeriv unfold partialDeriv
conv => conv =>