`BookProof.ChapterMajoranaProp74.prop74_Rj_comm` (g ns : Matrix (Fin 4) (Fin 4) ℂ) (_hg2 : g * g = 1) (hgns : g * ns = -(ns * g)) (c s pj : ℝ) : Dmat g pj * Sinv (ns * g) c s = Sin

Proved

BookProof.ChapterMajoranaProp74.prop74_Rj_comm

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMajoranaProp74.

BookProof.ChapterMajoranaProp74.prop74_Rj_comm (g ns : Matrix (Fin 4) (Fin 4) ℂ) (_hg2 : g * g = 1) (hgns : g * ns = -(ns * g)) (c s pj : ℝ) : Dmat g pj * Sinv (ns * g) c s = Sinv (ns * g) c s * Dmat g pj

Formalization note: Lean 4 identifier BookProof.ChapterMajoranaProp74.prop74_Rj_comm.

Preamble

-- Generated from ChapterMajoranaProp74.lean — theorem BookProof.ChapterMajoranaProp74.prop74_Rj_comm
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.prop74_Rj_comm (g ns : Matrix (Fin 4) (Fin 4) ℂ)
    (_hg2 : g * g = 1) (hgns : g * ns = -(ns * g)) (c s pj : ℝ) :
    Dmat g pj * Sinv (ns * g) c s = Sinv (ns * g) c s * Dmat g pj := by sorry

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