`BookProof.ChapterSternGerlach.normSq_exp_mul_I` (θ : ℝ) : Complex.normSq (Complex.exp ((θ : ℂ) * Complex.I)) = 1

Proved

BookProof.ChapterSternGerlach.normSq_exp_mul_I

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSternGerlach.

BookProof.ChapterSternGerlach.normSq_exp_mul_I (θ : ℝ) : Complex.normSq (Complex.exp ((θ : ℂ) * Complex.I)) = 1

Formalization note: Lean 4 identifier BookProof.ChapterSternGerlach.normSq_exp_mul_I.

Preamble

-- Generated from ChapterSternGerlach.lean — theorem BookProof.ChapterSternGerlach.normSq_exp_mul_I
import Mathlib
import Definitions.Def_ChapterSternGerlach
open BookProof.ChapterSternGerlach



open Complex Matrix Finset

Formal statement

theorem BookProof.ChapterSternGerlach.normSq_exp_mul_I (θ : ℝ) :
    Complex.normSq (Complex.exp ((θ : ℂ) * Complex.I)) = 1 := by sorry

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