`BookProof.ChapterAngularMomentum.circHarm_angularMomentum_eigen` (μ : ℕ) {z : ℂ} (hz : z ≠ 0) : -Complex.I * (z.re * fderiv ℝ (circHarm μ) z Complex.I - z.im * fderiv ℝ (circHarm

Proved

BookProof.ChapterAngularMomentum.circHarm_angularMomentum_eigen

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAngularMomentum.

BookProof.ChapterAngularMomentum.circHarm_angularMomentum_eigen (μ : ℕ) {z : ℂ} (hz : z ≠ 0) : -Complex.I * (z.re * fderiv ℝ (circHarm μ) z Complex.I - z.im * fderiv ℝ (circHarm μ) z 1) = (μ : ℂ) * circHarm μ z

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

Preamble

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



open Complex

Formal statement

theorem BookProof.ChapterAngularMomentum.circHarm_angularMomentum_eigen (μ : ℕ) {z : ℂ} (hz : z ≠ 0) :
    -Complex.I * (z.re * fderiv ℝ (circHarm μ) z Complex.I
        - z.im * fderiv ℝ (circHarm μ) z 1)
      = (μ : ℂ) * circHarm μ z := by sorry

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