`BookProof.ChapterMajoranaProp74.A_mul_g` {g ns : Matrix (Fin 4) (Fin 4) ℂ} (hg2 : g * g = 1) : (ns * g) * g = ns

Proved

BookProof.ChapterMajoranaProp74.A_mul_g

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMajoranaProp74.

BookProof.ChapterMajoranaProp74.A_mul_g {g ns : Matrix (Fin 4) (Fin 4) ℂ} (hg2 : g * g = 1) : (ns * g) * g = ns

Formalization note: Lean 4 identifier BookProof.ChapterMajoranaProp74.A_mul_g.

Preamble

-- Generated from ChapterMajoranaProp74.lean — theorem BookProof.ChapterMajoranaProp74.A_mul_g
import Definitions.Def_ChapterMajoranaFourier
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterMajoranaProp74
open BookProof.ChapterMajoranaProp74


open Matrix


open BookProof.ChapterMajoranaFourier
open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterMajoranaProp74.A_mul_g {g ns : Matrix (Fin 4) (Fin 4) ℂ} (hg2 : g * g = 1) :
    (ns * g) * g = ns := by sorry

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