`BookProof.ChapterAngularMomentum.fderiv_rotationVector` (u : ℂ → ℂ) (z : ℂ) : fderiv ℝ u z (Complex.I * z) = z.re * fderiv ℝ u z Complex.I - z.im * fderiv ℝ u z 1

Proved

BookProof.ChapterAngularMomentum.fderiv_rotationVector

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAngularMomentum.

BookProof.ChapterAngularMomentum.fderiv_rotationVector (u : ℂ → ℂ) (z : ℂ) : fderiv ℝ u z (Complex.I * z) = z.re * fderiv ℝ u z Complex.I - z.im * fderiv ℝ u z 1

Formalization note: Lean 4 identifier BookProof.ChapterAngularMomentum.fderiv_rotationVector.

Preamble

-- Generated from ChapterAngularMomentum.lean — theorem BookProof.ChapterAngularMomentum.fderiv_rotationVector
import Mathlib
import Definitions.Def_ChapterAngularMomentum
open BookProof.ChapterAngularMomentum



open Complex

Formal statement

theorem BookProof.ChapterAngularMomentum.fderiv_rotationVector (u : ℂ → ℂ) (z : ℂ) :
    fderiv ℝ u z (Complex.I * z)
      = z.re * fderiv ℝ u z Complex.I - z.im * fderiv ℝ u z 1 := by sorry

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