`BookProof.ChapterMajoranaFourier.boostBlock_unitary` {A : Matrix (Fin 4) (Fin 4) ℂ} (hA : Aᴴ = A) (hA2 : A * A = 1) {c s : ℝ} (hcs : c ^ 2 + s ^ 2 = 1) : (boostBlock c s A)ᴴ * boo

Proved

BookProof.ChapterMajoranaFourier.boostBlock_unitary

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMajoranaFourier.

BookProof.ChapterMajoranaFourier.boostBlock_unitary {A : Matrix (Fin 4) (Fin 4) ℂ} (hA : Aᴴ = A) (hA2 : A * A = 1) {c s : ℝ} (hcs : c ^ 2 + s ^ 2 = 1) : (boostBlock c s A)ᴴ * boostBlock c s A = 1

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

Preamble

-- Generated from ChapterMajoranaFourier.lean — theorem BookProof.ChapterMajoranaFourier.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.boostBlock_unitary {A : Matrix (Fin 4) (Fin 4) ℂ} (hA : Aᴴ = A)
    (hA2 : A * A = 1) {c s : ℝ} (hcs : c ^ 2 + s ^ 2 = 1) :
    (boostBlock c s A)ᴴ * boostBlock c s A = 1 := by sorry

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