`BookProof.ChapterAngularMomentum.circHarm_rotate` (μ : ℕ) (t : ℝ) (z : ℂ) : circHarm μ (Complex.exp ((t : ℂ) * Complex.I) * z) = Complex.exp ((μ : ℂ) * (t : ℂ) * Complex.I) * circ

Proved

BookProof.ChapterAngularMomentum.circHarm_rotate

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAngularMomentum.

BookProof.ChapterAngularMomentum.circHarm_rotate (μ : ℕ) (t : ℝ) (z : ℂ) : circHarm μ (Complex.exp ((t : ℂ) * Complex.I) * z) = Complex.exp ((μ : ℂ) * (t : ℂ) * Complex.I) * circHarm μ z

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

Preamble

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



open Complex

Formal statement

theorem BookProof.ChapterAngularMomentum.circHarm_rotate (μ : ℕ) (t : ℝ) (z : ℂ) :
    circHarm μ (Complex.exp ((t : ℂ) * Complex.I) * z)
      = Complex.exp ((μ : ℂ) * (t : ℂ) * Complex.I) * circHarm μ z := by sorry

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