`BookProof.ChapterMajoranaFourier.majoranaFourier_boostBlock_unitary` (m q : ℝ) (hm : 0 ≤ m) (hq : 0 < q) (n : Fin 3 → ℝ) (hn : ∑ i, (n i) ^ 2 = 1) : (boostBlock (boostC m q) (boos

Proved

BookProof.ChapterMajoranaFourier.majoranaFourier_boostBlock_unitary

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMajoranaFourier.

BookProof.ChapterMajoranaFourier.majoranaFourier_boostBlock_unitary (m q : ℝ) (hm : 0 ≤ m) (hq : 0 < q) (n : Fin 3 → ℝ) (hn : ∑ i, (n i) ^ 2 = 1) : (boostBlock (boostC m q) (boostS m q) (Aop n))ᴴ * boostBlock (boostC m q) (boostS m q) (Aop n) = 1

Formalization note: Lean 4 identifier BookProof.ChapterMajoranaFourier.majoranaFourier_boostBlock_unitary.

Preamble

-- Generated from ChapterMajoranaFourier.lean — theorem BookProof.ChapterMajoranaFourier.majoranaFourier_boostBlock_unitary
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterMajoranaFourier
open BookProof.ChapterMajoranaFourier


open Matrix


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterMajoranaFourier.majoranaFourier_boostBlock_unitary
    (m q : ℝ) (hm : 0 ≤ m) (hq : 0 < q)
    (n : Fin 3 → ℝ) (hn : ∑ i, (n i) ^ 2 = 1) :
    (boostBlock (boostC m q) (boostS m q) (Aop n))ᴴ *
      boostBlock (boostC m q) (boostS m q) (Aop n) = 1 := by sorry

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