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

Proved

BookProof.ChapterMajoranaProp74.g_mul_A

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMajoranaProp74.

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

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

Preamble

-- Generated from ChapterMajoranaProp74.lean — theorem BookProof.ChapterMajoranaProp74.g_mul_A
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.g_mul_A {g ns : Matrix (Fin 4) (Fin 4) ℂ} (hg2 : g * g = 1)
    (hgns : g * ns = -(ns * g)) : g * (ns * g) = -ns := by sorry

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